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Goliath & Leviathan Numbers - Numberphile

Video vocabulary

arrange

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US / əˈreɪndʒ /

UK / əˈrendʒ /

A2
  • verb
  • To write music for a particular instrument
  • To organize things or people in a particular way
  • To plan (an event) at a time and place
  • To organize events so they happen

not

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US / nɒt /

UK / nɑt /

A1
  • adverb
  • Word indicating the negative
  • (Used to form the negative of verbs)

size

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US / saɪz /

UK / saɪz /

A1
  • noun
  • How big or small a thing is
  • Standard measurements for clothing, shoes
  • verb
  • To make something to fit a particular measurement
  • To organize or group from small to large

description

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US / dɪˈskrɪpʃn /

UK / dɪˈskrɪpʃən /

A2
  • noun
  • Explanation of what something is like, looks like

scale

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US / skeɪl /

UK / skel /

A2
  • noun
  • Size, level, or amount when compared
  • Small hard plates that cover the body of fish
  • Device that is used to weigh a person or thing
  • Range of numbers from the lowest to the highest
  • Dimensions or size of something
  • verb
  • To change the size of but keep the proportions
  • To climb something large (e.g. a mountain)
  • To remove the scales of a fish

sense

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US / sens /

UK / sɛns /

A1
  • noun
  • Certain mental feeling or emotion
  • Normal or clear state of mind
  • Meaning of a particular word, phrase or text
  • verb
  • To perceive using sight, sound, taste touch etc.
  • To recognize the presence of something

daemon

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US / 'di:mən /

UK / 'di:mən /

A1
  • noun
  • Being who is part mortal and part god

compare

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US / kəm'peə(r) /

UK / kəmˈpɛr /

A1
  • verb
  • To consider how similar and different things are

liege

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US / li:dʒ /

UK / lidʒ /

C2
  • noun
  • Feudal lord entitled to allegiance and service

really

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US / ˈri:əli /

UK / ˈriəˌli, ˈrili /

A1
  • adverb
  • Used to stress something that is said; definitely
  • In a true or accurate manner
  • Very

swagger

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US / ˈswægə(r) /

UK / ˈswæɡɚ /

C1
  • noun
  • Boastful and confident arrogance
  • verb
  • To walk in a boastful and confident way

would

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US / wʊd /

UK / wʊd /

A1
  • other
  • Used to indicate something imagined
  • Used to ask or request something politely
  • Verb used to indicate possibility, request etc.
  • Used to indicate a preference
  • Used to indicate a reaction
  • Indicates something that occurred repeatedly
  • Used to indicate willingness or ability to do

but

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US / bət /

UK / bʌt,bət /

A1
  • conjunction
  • Used before you say something different, opposite

brady

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US / 'breɪkdaʊn /

UK / ˈbrekˌdaʊn /

A1

entity

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US / 'entətɪ /

UK / ˈɛntɪti /

B1
  • noun
  • Something that exists by itself and is real

give

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US / ɡɪv /

UK / ɡɪv /

A1
  • noun
  • Degree of flexibility in something, a material
  • verb
  • To hand over or present something to someone
  • To cause someone to have or experience something

expansion

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US / ɪkˈspænʃn /

UK / ɪkˈspænʃən /

B2
  • noun
  • Making or becoming larger

zero

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US / ˈzɪərəʊ /

UK / ˈzɪroʊ /

A1
  • noun
  • Temperature when water turns to ice
  • number
  • Number 0
  • verb
  • To set a scale or other device to show 0

apartment

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US / əˈpɑ:tmənt /

UK / əˈpɑ:rtmənt /

A2
  • noun
  • Set of rooms to live in on one floor of a building

definition

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US / ˌdefɪˈnɪʃn /

UK / ˌdɛfəˈnɪʃən /

A2
  • noun
  • Explanation of word's meaning, as in dictionaries
  • The sharpness of an image on a screen
  • Visual clearness in a photo or on a screen

equal

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US / 'i:kwəl /

UK / ˈikwəl /

A1
  • adjecitve
  • Same in shape, size, or number
  • verb
  • To add up or be the same as

deal

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US / di:l /

UK / dil /

A1
  • verb
  • To cope with something - usually troubles
  • To give (something bad e.g. news) to
  • To buy and sell illegal drugs
  • To give out (cards, etc.) to; distribute
  • To do business with someone or to sell products

formula

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US / 'fɔ:mjələ /

UK / ˈfɔrmjələ /

A2
  • noun
  • A mathematical or scientific rule
  • Plan, rule or method for doing or making something

now

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US / naʊ /

UK / naʊ /

A1
  • adverb
  • At the present time or moment
  • Right away or in the next possible moment
  • Used to refer to something that just happened
  • Time between the present and a moment in the past
  • conjunction
  • Resulting from or because of something

tiny

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US / 'taɪnɪ /

UK / ˈtaɪni /

A2
  • adjecitve
  • Very, very small

same

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US / seɪm /

UK / sem /

A1
  • adjecitve
  • Being equal in quality and amount
  • Identical; not different
  • Not changing; constant

crazy

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US / 'kreɪzɪ /

UK / ˈkrezi /

A2
  • adjecitve
  • Mentally ill; mad
  • Not being sensible or practical
  • Really like someone or something very much
  • noun
  • Person acting in a manner that is strange and odd

chop

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US / tʃɒp /

UK / tʃɑp /

B1
  • noun
  • A hit with the hand in a sideways motion
  • Thick slice of meat still attached to a bone
  • verb
  • To cut into pieces with an up and down motion
  • To hit someone with your hand

expect

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US / ɪk'spekt /

UK / ɪkˈspɛkt /

A1
  • verb
  • To believe something is probably going to happen

seventeenth

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US / ˌsevn'ti:nθ /

UK / ˌsɛvənˈtinθ /

A1
  • noun
  • 17th

want

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US / wɔnt /

UK / wɑnt, wɔnt /

A1
  • noun
  • Something you desire or wish for
  • State or condition of poverty
  • verb
  • To desire or wish for something; hope for a thing

yet

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US / jet /

UK / jɛt /

A1
  • adverb
  • At a later time (used after ‘not’)
  • (Used to emphasize that thing is, will be greater)
  • Eventually; at a future time
  • Until now; up to the present
  • conjunction
  • Adding to what has been said, often as a contrast

video

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US / 'vɪdɪəʊ /

UK / ˈvɪdiˌo /

A2
  • adjecitve
  • Of a moving film, with sound
  • noun
  • Recording capturing action with sound
  • verb
  • To make a moving film of, with sound

can

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US / kæn /

UK / kən,kæn /

A1
  • noun
  • A metal container for storing food
  • other
  • Able to; have the skill to; have the time to
  • verb
  • To have permission to
  • To be possible to do
  • To preserve food by sealing it in a metal container

copy

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US / ˈkɒpi /

UK / ˈkɑ:pi /

A1
  • noun
  • A counter for items that are the same
  • Fake product pretending to be an original
  • An imitation of an original
  • A duplicate of a paper printed in a photocopier
  • Written text for printing, use in ads, etc.
  • verb
  • To make something look the same as the original
  • To act in the exact same way as someone else
  • To read and then write down what you read

edit

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US / ˈedɪt /

UK / ˈɛdɪt /

A2
  • verb
  • To check and make changes before publication
  • To prepare scenes of a film into the final version

graham

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US / 'greɪəm /

UK / 'greɪəm /

A1
  • adjective
  • Denoting or made from wholewheat flour that has not been sifted.

pride

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US / praɪd /

UK / praɪd /

A2
  • noun
  • Sense of your own importance and worth
  • verb
  • To be proud of something you did

ramp

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US / ræmp /

UK / ræmp /

B2
  • noun
  • Path that increases in height as you walk up it
  • verb

repetition

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US / ˌrepəˈtɪʃn /

UK / ˌrɛpɪˈtɪʃən /

A2
  • noun
  • When something occurs again
  • Saying something again

silly

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US / 'sɪlɪ /

UK / ˈsɪli /

A2
  • adjecitve
  • Careless
  • Acting funny or playfully
  • Not being serious or important

down

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US / daʊn /

UK / daʊn /

A1
  • adjecitve
  • Being sad, sick, or unhappy
  • Not operating, working, or functioning as expected
  • adverb
  • In a sitting or lying position
  • Towards or on the ground, floor, or bottom
  • Written or copied onto a piece of paper or book
  • noun
  • A period of play in American Football
  • The soft, smooth hairs that cover a bird's body
  • preposition
  • Along something's path, course, or direction
  • Going from a higher position to a lower position
  • verb
  • To eat or drink very quickly and without stopping

must

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US / məst /

UK / mʌst /

A1
  • noun
  • Something that is necessary or required
  • other
  • (Used to state that something ought to be true)
  • Used to say something is required or necessary

respect

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US / rɪ'spekt /

UK / rɪˈspɛkt /

A2
  • noun
  • Behavior that follows the established rules
  • Admiration for someone
  • Regard or admiration for someone or something
  • verb
  • To follow the established rules
  • To think very highly of another person

sea

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US / /

UK / /

A1
  • noun
  • Very large group of people, similar-looking things
  • Large body of salty water with land around it

search

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US / sɜ:tʃ /

UK / sɜ:rtʃ /

A2
  • noun
  • Examination of person to find something
  • Action to find an answer to a problem
  • Action of trying to find someone or something
  • verb
  • To examine a person's clothing to find something
  • To look for an answer or explanation to a problem
  • To look carefully for someone or something

then

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US / ðen /

UK / ðɛn /

A1
  • adverb
  • A time that is not now
  • Following another thing in time or arrangement
  • Following on reasonably from what was just stated
  • At that time, not now

apocalyptic

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US / əˌpɒkəˈlɪptɪk /

UK / əˌpɑkəˈlɪptɪk /

B2
  • adjecitve
  • Involving great disaster or destruction

exciting

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US / ɪkˈsaɪtɪŋ /

UK / ɪkˈsaɪtɪŋ /

A2
  • adjecitve
  • Creating interest, happiness or pleasurable fear
  • verb
  • To cause a reaction; make active
  • To make someone feel happy, interested or eager

first

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US / fɜ:st /

UK / fɚst /

A1
  • adjecitve
  • 1st; Coming before all others in time or place
  • noun
  • Something that has not happened before
  • Position of the winner of a competition

get

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US / ɡet /

UK / ɡɛt /

A1
  • verb
  • To become affected by illness or disease
  • To begin to feel or understand an emotion or idea
  • To send or bring someone or something home, etc.
  • To go somewhere to obtain something
  • To (cause to) do a particular thing
  • To obtain, receive or be given something
  • To currently have
  • To prepare for use
  • To understand something being said or read

hard

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US / hɑ:d /

UK / hɑː(r)d /

A1
  • adjecitve
  • Difficult to do; difficult to understand
  • (Of facts) not able to be misunderstood; clear
  • (Of alcohol) strong
  • Involving or requiring lots of work, effort, care
  • Being full of pain, trouble, and problems
  • Strong
  • (Of edge) clear; sharp
  • Difficult to bend, break or cut; solid
  • adverb
  • With lots of force, power, or impact

particularly

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US / pəˈtikjuləli /

UK / pɚˈtɪkjələli, pəˈtɪk- /

A2
  • adverb
  • Specially; more than others

enough

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US / ɪˈnʌf /

UK / ɪˈnʌf /

A1
  • adjecitve
  • Sufficient to answer the need
  • adverb
  • To a satisfactory degree
  • pronoun
  • Equal to what is needed; as much as required
  • Adequate number or amount

find

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US / faɪnd /

UK / faɪnd /

A1
  • noun
  • Object discovered by chance
  • Things that have been discovered from searching
  • verb
  • To become aware of something that is happening
  • To discover or meet by chance
  • To decide if someone is guilty of a crime, or not
  • To learn through study, research, or effort
  • To discover something by looking for it

mean

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US / mi:n /

UK / min /

A1
  • adjecitve
  • Being good at
  • Nasty; unkind
  • Not liking to spend money; cheap; stingy
  • noun
  • Average of a set of numbers
  • verb
  • To express a particular idea or thought
  • To intend to do something in particular
  • To have a particular meaning or value

type

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US / taɪp /

UK / taɪp /

A1
  • noun
  • Printed letters or blocks used for printing them
  • Group of things or people sharing common features
  • verb
  • To identify something belonging to a group
  • To write by touching keys on a keyboard

fight

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US / faɪt /

UK / faɪt /

A1
  • noun
  • An argument or quarrel
  • Act of trying to hurt someone by hitting them
  • A struggle to do a difficult task
  • verb
  • To argue or quarrel with someone about something
  • To try to hurt someone by hitting them
  • To struggle to do a difficult task

happen

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US / 'hæpən /

UK / ˈhæpən /

A1
  • verb
  • To take place or occur

impressed

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US / ɪmˈprest /

UK / ɪmˈprest /

A2
  • adjecitve
  • Feeling an emotional impact
  • verb
  • To make an emotional or cognitive impact upon
  • To press into a soft material to make a pattern

reckon

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US / ˈrekən /

UK / ˈrɛkən /

A2
  • verb
  • To believe or expect that something is true

yeah

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US / jeə /

UK / ˈjɛə, ˈjæə, jɛ- /

A1
  • exclamation
  • Another way of saying 'yes'

notation

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US / nəʊ'teɪʃn /

UK / noˈteʃən /

C2
  • noun
  • Set of written signs are used in music or math

phase

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US / feɪz /

UK / fez /

A2
  • noun
  • Different stages of the moon from new to full
  • Distinct part or step in a process
  • One stage of a process or series of stages
  • verb
  • To make happen in a gradual ordered way

place

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US / pleɪs /

UK / ples /

A1
  • noun
  • Particular location, area or region
  • verb
  • To put someone in a particular type of situation
  • To put something in a certain location or position

own

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US / əʊn /

UK / on /

A1
  • adjecitve
  • Belong to oneself
  • determiner
  • Yours, his, hers, etc.; not belonging to another
  • pronoun
  • (Something) belong to myself
  • verb
  • To have something as your property

about

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US / ə'baʊt /

UK / əˈbaʊt /

A1
  • adverb
  • To be ready to; going to
  • Nearly; approximately; roughly
  • Near; next to; close to
  • In every direction; in the area of
  • preposition
  • Concerning or of (a topic)

absolute

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US / ˈæbsəlu:t /

UK / ˈæbsəˌlut /

A2
  • adjecitve
  • Complete; total; pure; not limited in any way
  • noun
  • Something that is complete, total, pure, certain

again

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US / ə'ɡen /

UK / əˈɡɛn /

A1
  • adverb
  • One more time, once more

even

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US / 'i:vn /

UK / ˈivən /

A1
  • adjecitve
  • Being equal in influence, power, possibility etc.
  • Being divided equally or fairly
  • (Of teams/contest) with similar chances of success
  • Smooth, level, or regular
  • Can be divided by 2; ending in 2, 4, 6, 8, or 0
  • At a regular, equally steady manner
  • Remaining steady and unchanging
  • adverb
  • (When this is surprising) as well; too
  • (Used to compare two things/stress the difference)
  • verb
  • To make something level; to flatten
  • To make something equal

like

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US / laɪk /

UK / laɪk /

A1
  • adjecitve
  • Being equal in status or kind to something else
  • Similar; the same
  • adverb
  • For example
  • preposition
  • Used as a filler; used to ad emphasis
  • In a way similar to the way something is done
  • Such as; for example
  • verb
  • To want to
  • To find something pleasing; to prefer something

second

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US / 'sekənd /

UK / ˈsɛkənd /

A1
  • adjecitve
  • 2nd; the one following first
  • noun
  • Unit of time; one sixtieth of a minute
  • Short period of time that you wait for someone
  • (Do) soon

what

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US / wɒt /

UK / hwɑt, hwʌt, wɔt, wʌt,hwət, wət /

A1
  • pronoun
  • Thing or things that; the same kind as
  • Used to emphasize something you are about to say
  • adjecitve
  • Used to refer to a particular amount, or number
  • Used to place emphasis on a particular quality
  • adverb
  • To a certain degree
  • determiner
  • Question words used for asking for information
  • exclamation
  • Used to express excitement, shock, or surprise
  • Used to ask people to repeat something they said

that

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US / ðæt /

UK / ðæt, ðət /

A1
  • adjecitve
  • The person or thing being talked about
  • Used to identify something both the speakers know
  • adverb
  • Used to reinforce adjectives and adverbs
  • To such a degree
  • conjunction
  • Used to connect a noun clause
  • Used to introduce an adverbial clause
  • Used to introduce a noun clause
  • determiner
  • Used as a noun to refer to something
  • pronoun
  • Referring an object far away
  • Used to refer to the relative pronoun ‘which’

nothing

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US / 'nʌθɪŋ /

UK / ˈnʌθɪŋ /

A1
  • noun
  • Item of little or no value, importance, interest
  • Number or value of zero
  • pronoun
  • Not anything, not a single thing

number

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US / ˈnʌmbə(r) /

UK / ˈnʌmbɚ /

A1
  • noun
  • Symbols such as 1, 2, 56, 793
  • Particular song or dance performed during a show
  • Total quantity or amount of things
  • verb
  • To put numbers on things
  • To assign a sequence within a group, series, set
  • To claim to be part of a larger group, series, set

tell

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US / tel /

UK / tɛl /

A1
  • verb
  • To (strongly) advise a person to do something
  • To be able to guess
  • To say or communicate information to someone
  • To inform, but without speaking; indicate
  • To have a negative effect on someone
  • To order someone to do something; command
  • To recognize something based on certain signs
  • To report something to an authority
  • To explain something or teach someone something

right

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US / raɪt /

UK / raɪt /

A1
  • adjecitve
  • Correct or true
  • The south side of you looking at the rising sun
  • adverb
  • Exactly in a place or time
  • Being appropriate for a particular event
  • In a straight or direct manner
  • noun
  • Something you are legally or morally allowed to do
  • Ideal of what is just and good
  • Political view based on conservatism
  • verb
  • To fix something previously wrong or unjust
  • To make upright, as a boat that has turned over

touch

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US / tʌtʃ /

UK / tʌtʃ /

A1
  • noun
  • Certain way of doing that makes something special
  • A small amount of something
  • Feeling of a surface
  • verb
  • To affect feelings, especially by causing sympathy
  • To be next to each other with no space between
  • To get involved with (used in negative)
  • To feel an object with your fingers, etc.

predictable

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US / prɪˈdɪktəbl /

UK / prɪˈdɪktəbl /

B1
  • adjecitve
  • Capable of being guessed before it happens

complicate

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US / ˈkɒmplɪkeɪt /

UK / ˈkɑ:mplɪkeɪt /

B1
  • verb
  • To make more difficult to do, understand or use

here

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US / hɪə(r) /

UK / hɪr /

A1
  • adverb
  • In this place; at this location, position or time

small

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US / smɔ:l /

UK / smɔl /

A1
  • adjecitve
  • Little in size; not big
  • (Of letters) not written in capital letters
  • Being insignificant or minor
  • (Of a business) with few people or things; local
  • (Of voice) being soft and quiet
  • (Of a child) being young

try

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US / traɪ /

UK / traɪ /

A1
  • noun
  • Act of putting the ball over the rugby goal line
  • verb
  • To make an effort, to attempt to do something
  • To examine someone or something in a court of law
  • To test to see if it is good or you like it
  • To make a person go through hardship; test
  • To examine something to see if it works

knowledge

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US / ˈnɒlɪdʒ /

UK / ˈnɑlɪdʒ /

A1
  • noun
  • Information, understanding, or skill

side

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US / saɪd /

UK / saɪd /

A1
  • adjecitve
  • In addition to the central or most important thing
  • Next to, or very close to, the right or left of
  • noun
  • Position or opinion that is opposite to another
  • Right or left part of a person's body
  • Feature of someone's personality
  • Straight edge of an object
  • One of two or more groups fighting each other
  • verb
  • To decide to agree with one point, not the other

too

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US / tu: /

UK / tu /

A1
  • adverb
  • In addition, also; with emphasis
  • Say that something is more than you want

totally

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US / ˈtəʊtəli /

UK / ˈtotl:ɪ /

A1
  • adverb
  • In a complete way; completely; absolutely

usual

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US / ˈju:ʒuəl /

UK / ˈjuʒuəl /

A1
  • adjecitve
  • Being the way things occur most of the time

actually

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US / ˈæktʃuəli /

UK / ˈæktʃuəli /

A1
  • adverb
  • Used to add new (often different) information

use

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US / ju:s /

UK / ju:s /

A1
  • noun
  • Ability to employ something
  • Need to enable it to work
  • Permission to do something with something
  • Act of spending money
  • Operation of a machine for its function
  • verb
  • To have; to eat, drink, consume etc.
  • To need to operate or work
  • To operate a machine, e.g. a computer
  • To treat a person badly
  • To do something with, for a task or purpose

write

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US / raɪt /

UK / raɪt /

A1
  • verb
  • To compose letters and words on paper or a screen
  • To invent or create a computer program
  • To create a song or piece of music

contain

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US / kənˈteɪn /

UK / kənˈten /

A2
  • verb
  • To keep something from spreading
  • To hold something inside something else

idiot

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US / 'ɪdɪət /

UK / ˈɪdiət /

B2
  • noun
  • A person who is foolish or not very smart

imagine

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US / ɪ'mædʒɪn /

UK / ɪˈmædʒɪn /

A1
  • verb
  • To think creatively about; form mental picture of

obviously

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US / ˈɒbviəsli /

UK / ˈɑːbviəsli /

A2
  • adverb
  • In a way that is obvious/easy to see or understand

probably

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US / ˈprɒbəbli /

UK / ˈprɑbəbli /

A1
  • adverb
  • That is likely to happen or be true

googolplex

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US / 'gu:gɒlpleks /

UK / 'gu:gɒlˌpleks /

A1
  • noun
  • A cardinal number represented as followed by a googol of zeros (ten raised to the power of a googol)

point

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US / pɔɪnt /

UK / pɔɪnt /

A1
  • noun
  • An item to be discussed
  • Small spot or dot
  • Fact or detail
  • Feature of something
  • The size of the text on a page or screen
  • A certain time or stage in a process
  • Certain position in time or space
  • Idea or fact you try to convince people about
  • Measurement of scores in a game, sport
  • Sharp end of something, e.g. a pen or pin
  • verb
  • To face a certain direction, e.g. north
  • To indicate something with your finger to others

third

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US / θɜ:d /

UK / θɜ:rd /

A1
  • adjecitve
  • 3rd: Number after second

valley

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US / 'vælɪ /

UK / ˈvæli /

A2
  • noun
  • Area between mountains with river running through

exactly

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US / ɪgˈzæktli /

UK / ɪɡˈzæktli /

A1
  • adverb
  • No more and no less than; precisely

massive

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US / ˈmæsɪv /

UK / ˈmæsɪv /

B1
  • adjecitve
  • Very big; large; too big

sort

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US / sɔ:t /

UK / sɔrt /

A1
  • noun
  • Group or class of similar things or people
  • verb
  • To organize things by putting them into groups
  • To deal with things in an organized way

should

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US / ʃʊd /

UK / ʃʊd /

A1
  • other
  • Used to indicate what is proper or reasonable

appear

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US / ə'pɪə(r) /

UK / əˈpɪr /

A1
  • verb
  • To be seen, become visible; come into sight
  • To seem to be
  • To act in a play, movie, or be mentioned in media

itself

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US / ɪtˈself /

UK / ɪtˈsɛlf /

A1
  • pronoun
  • Referring to it

many

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US / 'menɪ /

UK / ˈmɛni /

A1
  • determiner
  • Used to refer a large number of things

will

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US / wɪl /

UK / wɪl /

A1
  • noun
  • Desire or choice of someone
  • Document saying who gets your money when you die
  • Strong desire to do something; determination
  • Desire to do something; strong wish to do
  • other
  • Used with verbs to express the future
  • verb
  • To leave property to someone after your death
  • To use mental effort to make something happen
  • Am (is, are) likely to do
  • To influence someone to do something
  • To make something happen by strongly wanting it

across

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US / əˈkrɔs /

UK / əˈkrɔs,əˈkrɑs /

A1
  • adverb
  • Distance from one side to another
  • (Go) from one side to the other of something

play

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US / pleɪ /

UK / pleɪ /

A1
  • noun
  • Loose, free movement between two objects
  • Single action in a sports game
  • Performance in which people act in a theater
  • verb
  • To act as a character in a movie, or on stage
  • To perform music on an instrument
  • To use a device, e.g. a video game
  • To do something for enjoyment and fun
  • To do or perform a game or sport

this

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US / ðɪs /

UK / ðɪs /

A1
  • adjecitve
  • Used to indicate something already been discussed
  • Used to indicate something happening around now
  • adverb
  • An indication by a physical motion or gesture
  • A specific amount of
  • determiner
  • Person, thing, or idea near you
  • pronoun
  • Person, thing that has already been discussed

big

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US / bɪɡ /

UK / bɪɡ /

A1
  • adjecitve
  • Popular
  • Serious
  • Large

factorial

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US / fækˈtɔ:riəl /

UK / fækˈtɔriəl, -ˈtor- /

A1
  • adjecitve
  • Concerning factors or factorials

let

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US / let /

UK / lɛt /

A1
  • verb
  • To allow someone to do something
  • Introducing a suggestion to do something together
  • To rent a house, etc. to others

james

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US / dʒeimz /

UK / dʒemz /

A1
  • proper noun
  • The name of seven Stuart kings of Scotland.
  • The name of two kings of England, Ireland, and Scotland.

little

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US / 'lɪtl /

UK / ˈlɪtl /

A1
  • adjecitve
  • Being short in length of time
  • Not great in size, amount, or degree; small
  • Being very young or younger than others
  • adverb
  • By an amount or degree that is not very much
  • Not often; rarely
  • noun
  • A person's name

might

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US / maɪt /

UK / maɪt /

A1
  • other
  • Used to politely request an action
  • Used to express that something could happen
  • Power, strength, force or influence

person

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US / 'pɜ:sn /

UK / 'pɜ:rsn /

A1
  • noun
  • Man, woman or child

rationale

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US / ˌræʃəˈnɑ:l /

UK / ˌræʃəˈnæl /

B2
  • noun
  • Explanation of justification for something

the

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US / ðə /

UK / ðə /

A1
  • article
  • Used to refer to something already mentioned
  • Used to show there is only one of something
  • determiner
  • Used to describe all of a family

wow

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US / waʊ /

UK / waʊ /

A1
  • exclamation
  • Sound people make when they make are impressed
  • verb
  • (Informal) to greatly impress someone

bad

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US / bæd /

UK / bæd /

A1
  • adjecitve
  • Not good; wrong
  • Lacking in good morals; evil
  • No longer fresh; spoiled

fibonacci

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US / ˌfɪbəˈnɑːtʃi /

UK / ˌfɪbəˈnɑːtʃi /

A1

multiple

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US / ˈmʌltɪpl /

UK / ˈmʌltəpəl /

B1
  • adjecitve
  • Having or involving more than one of something
  • noun
  • Number produced by multiplying a smaller number
  • Shop with many branches

planck

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US / plæŋk /

UK / /

A1

three

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US / θri: /

UK / θri /

A1
  • number
  • Number 3

order

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US / 'ɔ:də(r) /

UK / ˈɔrdɚ /

A1
  • noun
  • Religious or social group, as of nuns
  • Instructions to others to do what you want
  • State in which things are neat and organized
  • What you ask to buy, e.g. food in restaurant
  • Social or political control of an area
  • verb
  • To put things in a sequence, e.g. a, b, c
  • To give instructions to others to do what you want
  • To ask for something you want to buy, e.g. a meal

make

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US / meɪk /

UK / mek /

A1
  • noun
  • Product made by a particular company; brand
  • verb
  • To arrange or prepare something e.g. dinner
  • To get to (a place) on time
  • To gain the status of (teacher, lawyer, etc.)
  • To create something by putting things together
  • To earn a certain amount of money at a job
  • To cause or force a person to do something
  • To cause something to happen or be formed

universe

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US / ˈju:nɪvɜ:s /

UK / ˈjunəˌvɚs /

B2
  • noun
  • All of space that contains planets and stars
  • Things surrounding a person, affecting their life

five

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US / faɪv /

UK / faɪv /

A1
  • number
  • 5

kind

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US / kaɪnd /

UK / kaɪnd /

A1
  • adjecitve
  • In a caring and helpful manner
  • friendly and considerate
  • noun
  • One type of thing

how

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US / haʊ /

UK / haʊ /

A1
  • adjecitve
  • To what degree? in what amount?
  • adverb
  • (Used to explain the way to do something)
  • exclamation
  • For what purpose or reason?
  • (Used to ask someone or something's condition)

year

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US / jə: /

UK / jɪr /

A1
  • noun
  • Unit of time equal to 12 months or 365 or 366 days
  • Used to refer to the age of a person

you

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US / jʊ /

UK / ju /

A1
  • pronoun
  • Person someone is speaking or writing to
  • Person or people in general

binary

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US / ˈbaɪnəri /

UK / ˈbaɪnəri /

B2
  • adjecitve
  • Having two parts; using only 2 numbers, 1 and 0
  • noun
  • Mathematical language using only one and zero

giant

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US / 'dʒaɪənt /

UK / ˈdʒaɪənt /

A2
  • adjecitve
  • Very large, or much bigger than other things
  • noun
  • Tall, large, and powerful human-like creatures
  • Very successful, powerful person or organization

tony

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US / ˈtəuni /

UK / ˈtoni /

A1
  • adjective
  • Fashionable among wealthy or stylish people.
  • noun
  • Any of a number of awards given annually in the US for outstanding achievement in the theater in var

stand

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US / stænd /

UK / stænd /

A1
  • noun
  • Effort to fight against something
  • Piece of furniture; device to hold or support
  • Place in a stadium where spectators watch
  • Table where things are sold at a fair or market
  • verb
  • To be a candidate in an election
  • To be able to accept someone, something; bear
  • To last for a long time
  • To be upright; not be sitting or lying down
  • To place something in a particular position; place
  • To be (as stated)
  • To still be valid
  • To have an opinion about something

flavour

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US / ˈfleɪvə(r) /

UK / ˈflevɚ /

B1
  • noun
  • Taste of something, especially in food or drink
  • verb
  • To add extra taste to a food

into

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US / 'ɪntə /

UK / ˈɪntu /

A1
  • preposition
  • Moving or going inside something
  • In the same direction as; in the direction of
  • So as to become; taking the state of

love

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US / lʌv /

UK / lʌv /

A1
  • noun
  • Person's name
  • A very strong feeling of affection
  • The person you care very deeply about
  • Strong, deep emotional and sexual attraction
  • verb
  • To care for and like someone very strongly, deeply
  • To like doing very much; enjoy greatly
  • To feel a strong emotional and romantic attraction

one

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US / wʌn /

UK / wʌn /

A1
  • pronoun
  • You; we; people in general; someone
  • The thing or person previously referred to
  • adjecitve
  • Used to refer to people generally
  • Being a strong example of (something mentioned)
  • number
  • Number 1

rock

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US / rɒk /

UK / rɑk /

A1
  • noun
  • Type of popular music with a strong, loud beat
  • Strong, tough person who can be relied upon
  • Big stone; hard, solid substance forming mountains
  • verb
  • To be greatly upset by something, e.g. a death
  • To be extremely effective or pleasing
  • To play, sing along with, or dance to heavy music
  • To move back and forth or from side to side

other

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US / 'ʌðə(r) /

UK / ˈʌðər /

A1
  • adjecitve
  • A thing different from that mentioned
  • determiner
  • (Something) else; not the first (one)
  • pronoun
  • Being the one and only thing of that category

power

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US / 'paʊə(r) /

UK / ˈpaʊɚ /

A1
  • noun
  • Legal or official right to perform certain actions
  • Ability to move forcefully and quickly
  • Energy of something (e.g. electricity or fuel)
  • Mathematical way to multiply a number
  • Condition of being in political control
  • Physical force, energy, and strength
  • verb
  • To give energy to something, e.g. by electricity
  • To move something forcefully and quickly

turn

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US / tɜ:n /

UK / tɚn /

A1
  • noun
  • Place where changing of direction happens
  • Your time or chance to perform a duty
  • Your chance to play or do in say a game
  • Unexpected change, as in the weather
  • verb
  • To become (a particular age)
  • To become a different quality, color, etc.
  • To change the direction of something, e.g. a car
  • To move in an opposite direction or position
  • To shape metal with a spinning tool

than

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US / ðən /

UK / ðən /

A1
  • conjunction
  • Used to compare two things that are not equal

ask

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US / ɑ:sk /

UK / æsk /

A1
  • verb
  • To say to someone that you want something

exact

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US / ɪɡ'zækt /

UK / ɪɡˈzækt /

A2
  • adjecitve
  • Completely correct; accurate; specific
  • verb
  • To get something, sometimes using force

start

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US / stɑ:t /

UK / stɑrt /

A1
  • noun
  • First time or place that a thing exists; beginning
  • First opportunity to achieve something, e.g. a job
  • Sudden action or movement because you are scared
  • other
  • Beginning of something in place or time
  • verb
  • To do, be or happen for the first time; begin
  • To turn something on

test

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US / test /

UK / test /

A1
  • noun
  • A medical examination
  • Action to establish the truth or nature of
  • Examination; questions to measure knowledge
  • verb
  • To be given a medical examination
  • To try to establish the truth or nature of
  • To ask a series of questions to measure knowledge

well

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US / wel /

UK / wɛl /

A1
  • adjecitve
  • Being in a fortunate, good condition or state
  • Healthy and in good condition
  • adverb
  • In an acceptable, proper, or successful manner
  • In a complete, total, or full manner
  • A great and considerable degree
  • In a successful way, in a good or satisfactory way
  • exclamation
  • Used to begin or continue a particular statement
  • Used to show you want to start saying something
  • Used to express that you are waiting for a reply
  • You say this to change the topic of a conversation
  • Used to indicate you are making a final remark
  • noun
  • Long deep hole in the ground to get water
  • verb
  • To cause your eyes to fill with tears

yourself

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US / jɔ:ˈself /

UK / jʊrˈsɛlf, jɔr-, jor-, jə- /

A1
  • pronoun
  • Reflexive form of 'you', used for an emphasis

eight

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US / eɪt /

UK / et /

A1
  • number
  • 8

computer

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US / kəmˈpju:tə(r) /

UK / kəmˈpjutɚ /

A1
  • noun
  • Machine for storing data, accessing the internet

leviathan

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US / ləˈvaɪəθən /

UK / ləˈvaɪəθən /

C2
  • noun
  • Huge sea monster symbolizing evil

sound

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US / saʊnd /

UK / saʊnd /

A1
  • adjecitve
  • Sensible, dependable and reliable
  • Unbroken or undisturbed, as of sleep
  • Firm or solid in structure
  • Sane; not mentally ill
  • Clearly reasoned; involving sense, good judgment
  • noun
  • Unique quality that characterizes a style of music
  • Waves traveling in air or water that can be heard
  • verb
  • To seem or appear to be, from what was said
  • To say in a clear deliberate manner
  • To make a noise, e.g. to ring a bell

such

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US / sʌtʃ /

UK / sʌtʃ /

A1
  • determiner
  • Being similar to
  • (Thing) as previously stated or referred to
  • adverb
  • (Used to emphasize the quality of an adjective)

algorithm

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US / 'ælɡərɪðəm /

UK / ˈælɡəˌrɪðəm /

B2
  • noun
  • A step-by-step problem-solving feature

anyway

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US / ˈeniweɪ /

UK / ˈɛniˌwe /

A1
  • adverb
  • A word used to change the topic of a conversation

googol

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US / ˈgu:gɒl /

UK / ˈgu:gɔ:l /

A1
  • noun
  • A cardinal number represented as followed by zeros (ten raised to the power of a hundred)

tribe

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US / traɪb /

UK / traɪb /

B1
  • noun
  • Racial group united by language, religion, customs

those

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US / ðəʊz /

UK / ðoz /

A1
  • determiner
  • The people or things we are talking about
  • pronoun
  • The objects far from the speaker

combination

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US / ˌkɒmbɪ'neɪʃn /

UK / ˌkɑmbəˈneʃən /

B1
  • noun
  • Series of letters or numbers needed to open a lock
  • Act or result of mixing things together

fact

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US / fækt /

UK / fækt /

A1
  • noun
  • Something that is known or proved to be true

much

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US / mʌtʃ /

UK / mʌtʃ /

A1
  • adjecitve
  • Very; to a high level or degree
  • adverb
  • A lot; large amount; a high degree of
  • Nearly; basically
  • On many occasions; often
  • noun
  • A large amount; a great quantity

metre

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US / 'mi:tə(r) /

UK / ˈmitɚ /

A1
  • noun
  • Unit of length equal to 100 cm or about 39 inches

for

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US / fə(r) /

UK / fɔr,fə /

A1
  • preposition
  • Used to show the purpose, or need of something

time

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US / taɪm /

UK / taɪm /

A1
  • noun
  • Speed at which music is played; tempo
  • Point as shown on a clock, e.g. 3 p.m
  • Number of hours, minutes needed to do something
  • Occasion when something happens
  • Period or occasion that something occurred
  • Period in history or the past
  • Something measured in minutes, hours, days, etc.
  • How long an event takes; duration
  • verb
  • To check speed at which music is performed
  • To choose a specific moment to do something
  • To measure how long an event takes, e.g. a race
  • To schedule something to occur at a specific moment

tower

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US / 'taʊə(r) /

UK / ˈtaʊɚ /

A2
  • noun
  • Tall, narrow building
  • Tall metal structure for broadcasting, or the view
  • verb
  • To be very good at something

why

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US / waɪ /

UK / hwaɪ, waɪ /

A1
  • adverb
  • Question word to ask for a reason
  • exclamation
  • (Used to express surprise or approval)

difficult

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US / 'dɪfɪkəlt /

UK / ˈdɪfɪˌkʌlt, -kəlt /

A1
  • adjecitve
  • Hard; not easy; you need to work hard to do it

mystery

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US / ˈmɪstri /

UK / ˈmɪstəri /

A2
  • noun
  • Quality of being strange and not understood
  • Book, play, or film about solving a strange crime
  • Something that is not known

question

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US / 'kwestʃən /

UK / ˈkwɛstʃən /

A1
  • noun
  • Issue or problems you are dealing with
  • What you ask about; issue
  • verb
  • To ask for or try to get information
  • To have or express concerns or uncertainty

just

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US / dʒʌst /

UK / dʒʌst /

A1
  • adjecitve
  • Proper or appropriate; as is deserved
  • Doing or being what is right or fair
  • Legally correct; having enough evidence
  • adverb
  • Almost; nearly
  • Exactly at the time of
  • Exactly (the same as, like)

legion

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US / 'li:dʒən /

UK / ˈlidʒən /

B2
  • noun
  • Large group of soldiers, as of the Roman army

load

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US / ləʊd /

UK / lod /

A2
  • noun
  • Large, often heavy, amount of a thing to be moved
  • A burden; heavy responsibility
  • Many or much of something; a lot of
  • Items that fill a truck, machine
  • verb
  • To put in items for use (e.g. bullets in a gun)

talk

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US / tɔ:k /

UK / tɔk /

A1
  • noun
  • Style of speaking
  • Discussion between two countries
  • Giving information in front of people; lecture
  • Saying things or ideas to someone with words
  • verb
  • To make a formal speech about something
  • To say things or ideas to someone with words

build

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US / bɪld /

UK / bɪld /

A1
  • noun
  • Your physical shape; physique
  • verb
  • To establish e.g. a reputation, over time
  • To construct a house, office, factory

cocky

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US / 'kɒkɪ /

UK / ˈkɑki /

A1
  • adjecitve
  • Overly self-confident or self-assertive

all

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US / ɔ:l /

UK / ɔl /

A1
  • adverb
  • Completely; totally
  • determiner
  • Being every one of something
  • pronoun
  • 100% of something; the complete amount

everyone

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US / ˈevriwʌn /

UK / ˈɛvriˌwʌn /

A1
  • pronoun
  • Every person; everybody

its

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US / ɪts /

UK / ɪts /

A1
  • adjecitve
  • Referring to or belonging to ‘it’
  • determiner
  • Of something; belonging or related to something
  • other
  • Possessive form of “it”

super

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US / ˈsu:pə(r) /

UK / ˈsupɚ /

A2
  • adjecitve
  • Of the highest quality; great; marvelous

who

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US / hu: /

UK / hu /

A1
  • pronoun
  • Which person
  • Used to introduce information about people

bit

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US / bɪt /

UK / bɪt /

A1
  • noun
  • Device put in a horse's mouth to control it
  • Small piece of something
  • verb
  • (E.g. of fish) to take bait and be caught

digit

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US / ˈdɪdʒɪt /

UK / ˈdɪdʒɪt /

B2
  • noun
  • Person's finger or toe
  • Written symbol of the numbers from 0 to 9

look

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US / lʊk /

UK / lʊk /

A1
  • noun
  • Person's beauty or physical attractiveness
  • Particular style of dress, clothes, or appearance
  • The way someone, something appears to be
  • Act of searching for or examining something
  • verb
  • To appear to be; seem

human

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US / 'hju:mən /

UK / ˈhjumən /

A1
  • adjecitve
  • Concerning or characteristic of people
  • noun
  • A person; a man, woman or child

prep

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US / prep /

UK / prɛp /

A1
  • adjecitve
  • Preparation for an action or event
  • noun
  • Shortened form of 'preparation school'

whack

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US / wæk /

UK / hwæk, wæk /

B2
  • noun
  • A very heavy hit making a loud sound
  • verb
  • To hit someone or something with great force

link

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US / lɪŋk /

UK / lɪŋk /

A2
  • noun
  • Any one of the rings that are part of a chain
  • Connection between two or more things or people
  • Webpage item you click to go to another webpage
  • verb
  • To join or connect together

horny

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US / ˈhɔ:ni /

UK / ˈhɔ:rni /

C1
  • adjecitve
  • Feeling great sexual desire

take

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US / teɪk /

UK / tek /

A1
  • noun
  • Filming of a single scene for TV or the movies
  • verb
  • To accept something that is offered
  • To use a method of traveling, e.g. a bus or train
  • To use a camera to make (a photo)
  • To pick up something and go away with it
  • To study a subject in school
  • To attempt to pass (an exam)
  • To require a certain amount of time, money, space

ago

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US / əˈgəʊ /

UK / əˈgoʊ /

A1
  • adverb
  • At a specified length of time in the past

figure

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US / ˈfiɡə /

UK / ˈfɪɡjɚ /

A1
  • noun
  • Your body shape
  • Numbers in a calculation
  • Doll-like thing meant to represent a person
  • Picture or diagram giving information in a text
  • Person who is very important or famous
  • Shape of a person seen indistinctly or in outline
  • Amount that is expressed in numbers
  • verb
  • To appear in a game, play or event
  • To calculate how much something will cost
  • To understand after thinking; work out

due

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US / dju: /

UK / du, dju /

A1
  • adjecitve
  • When something is required or expected
  • Owed to a person as a right
  • noun
  • Something you deserve; something you can expect

israel

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US / 'ɪzreɪl /

UK / 'ɪzreɪl /

A1
  • noun
  • Jewish republic in southwestern Asia at eastern end of Mediterranean; formerly part of Palestine

huge

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US / hju:dʒ /

UK / hjudʒ /

A2
  • adjecitve
  • Very very large

trilogy

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US / ˈtrɪlədʒi /

UK / ˈtrɪlədʒi /

C1
  • noun
  • Series of three connected works

way

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US / weɪ /

UK / we /

A1
  • adverb
  • Used to emphasize the amount of something
  • noun
  • Particular aspect of something being thought about
  • One of various choices that could be made
  • Particular existing condition or state
  • (Often long) distance or length of time
  • How something is done
  • Route to go to a place
  • Small street
  • Usual behavior, emotions or habits of someone

yes

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US / jes /

UK / jɛs /

A1
  • adverb
  • Way to say you agree or will do something

between

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US / bɪˈtwi:n /

UK / bɪˈtwin /

A1
  • preposition
  • From one person, thing, or place, to another
  • In the space that separates two objects
  • Among two or more people who share something

approximate

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US / ə'prɒksɪmət /

UK / əˈprɑksəmɪt /

B2
  • adjecitve
  • About; not exact but close
  • verb
  • To be similar to, but not exactly the same

everything

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US / 'evrɪθɪŋ /

UK / ˈɛvriˌθɪŋ /

A1
  • pronoun
  • All of the things mentioned

dollar

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US / ˈdɒlə(r) /

UK / ˈdɑ:lə(r) /

A1
  • noun
  • A basic unit of money equal to 100 cent

mountain

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US / 'maʊntən /

UK / ˈmaʊntən /

A1
  • noun
  • Very high piece of land, higher than a hill

they

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US / ðeɪ /

UK / ðe /

A1
  • pronoun
  • Two or more people, animals, or things

very

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US / 'verɪ /

UK / ˈvɛri /

A1
  • adjecitve
  • Concerning a large degree or amount
  • adverb
  • A lot; much; many
  • Used to stress or emphasize a noun

unsatisfactory

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US / ˌʌnˌsætɪsˈfæktəri /

UK / ʌnˌsætɪsˈfæktəri /

B1
  • adjecitve
  • Not giving satisfaction

clearly

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US / ˈklɪəlɪ /

UK / ˈklɪrlɪ /

A1
  • adverb
  • In a way that is easy to understand; obviously

introduce

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US / ˌɪntrəˈdju:s /

UK / ˌɪntrəˈdus, -ˈdjus /

A1
  • verb
  • To open an essay to set the scene
  • To guide or explain something, e.g. a town
  • To begin the use of a new thing or practice
  • To make someone known to another by name
  • To insert or put something inside another thing

length

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US / leŋθ /

UK / leŋθ /

A2
  • noun
  • Distance from one end of a pool to the other
  • Measurement of distance or of time

list

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US / lɪst /

UK / lɪst /

A1
  • noun
  • Lean of a boat to one side
  • Series of written names, words or numbers
  • verb
  • To lean to one side, like a boat or ship
  • To present for sale for a specific price
  • To write a series of names, words, or numbers

log

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US / lɒg /

UK / lɔ:g /

B1
  • noun
  • Detailed account of events and progress on journey
  • Piece of a tree that has fallen or been cut
  • verb
  • To move a certain distance or speed, as recorded
  • To leave a website or computer account
  • To record something in an official account
  • To cut trees down and take the wood to use it

both

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US / bəuθ /

UK / boθ /

A1
  • determiner
  • Used to refer to two things at the same time
  • pronoun
  • Used to refer to two things at the same time

scottish

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US / ˈskɒtɪʃ /

UK / ˈskɑ:tɪʃ /

A1
  • adjecitve
  • Concerning the culture and people of Scotland

space

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US / speɪs /

UK / spes /

A1
  • noun
  • Empty area kept for a specific reason, like a car
  • Empty area with nothing in it
  • Area in the sky where the stars are
  • Area between written words on a page
  • verb
  • To make a certain distance or time between

show

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US / ʃəʊ /

UK / ʃo /

A1
  • noun
  • False display of love, emotion or action
  • An event for displaying or promoting goods
  • Play, opera or theater production
  • Presentation that is broadcast on TV or radio
  • verb
  • To be easily seen or displayed
  • To display your emotions or feelings
  • To let someone see something; display
  • To explain or teach how something is done
  • To lead someone somewhere; point them to something
  • To prove something to be true, correct
  • To reveal or allow something to be seen

travel

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US / ˈtrævl /

UK / ˈtrævəl /

A1
  • noun
  • Going to other places, esp. distant places
  • verb
  • To go to a place that is far away

century

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US / 'sentʃərɪ /

UK / ˈsɛntʃəri /

A1
  • noun
  • Period of 100 years

have

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US / həv /

UK / hæv /

A1
  • verb
  • To drink, smoke, eat or use something
  • To experience the effects of something
  • To organize an event, or join in an activity
  • To own, possess, or hold something
  • To cause to happen or produce a particular effect

last

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US / lɑ:st /

UK / læst /

A1
  • adjecitve
  • Most recent; the latest
  • The one before
  • adverb
  • Final; with nothing following; after all others
  • Most recent; the latest
  • determiner
  • The one at the end
  • verb
  • To remain or continue for a certain period of time

six

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US / sɪks /

UK / sɪks /

A1
  • number
  • 6

sixty

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US / 'sɪkstɪ /

UK / ˈsɪksti /

A1
  • number
  • 60

challenge

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US / 'tʃælɪndʒ /

UK / ˈtʃæləndʒ /

A2
  • noun
  • An activity you wish to try that may be hard to do
  • Act of formally inviting someone to compete
  • A question to determine correctness of something
  • verb
  • To formally invite someone to compete at something
  • To question the correctness of something

roman

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US / rɔmə /

UK / roˈmɑŋ /

A1
  • adjecitve
  • A resident of modern Rome
  • other
  • A typeface used in ancient Roman inscriptions
  • An inhabitant of the ancient Roman Empire
  • Characteristic of the modern type that most directly represents the type used in ancient Roman inscr
  • Of or relating to or supporting Romanism
  • Relating to or characteristic of people of Rome

calculate

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US / 'kælkjʊleɪt /

UK / ˈkælkjəˌlet /

B2
  • verb
  • To find an answer using mathematics
  • To make an educated guess about something

estimate

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US / 'estɪmət /

UK / ˈɛstəˌmet /

A2
  • noun
  • Guess or calculation of cost, size or value
  • verb
  • To guess or calculate the cost, size or value of

hundred

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US / 'hʌndrəd /

UK / ˈhʌndrɪd /

A1
  • number
  • 100

unit

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US / ˈju:nɪt /

UK / ˈjunɪt /

B2
  • noun
  • One apartment in a building
  • Group of people, e.g. soldiers, that work together
  • A chapter of a textbook
  • A standard of measurement of something
  • Single item made by a company

exist

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US / ɪɡ'zɪst /

UK / ɪɡˈzɪst /

A1
  • verb
  • To be present, alive or real

prime

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US / praɪm /

UK / praɪm /

A2
  • adjecitve
  • Concerning the highest in quality or value
  • Concerning the highest level of achievement
  • Most important, chief importance in value
  • verb
  • To get a person ready for; prepare someone
  • To coat with paint to prepare it for the main coat

remember

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US / rɪ'membə(r) /

UK / rɪˈmɛmbɚ /

A1
  • verb
  • To give someone a gift, e.g. birthday, wedding
  • To hold a thought in your mind to not forget it
  • To bring a previous image or idea to your mind

his

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US / hɪz /

UK / hɪz /

A1
  • pronoun
  • Something belonging to a male person

with

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US / wɪð /

UK / wɪð, wɪθ /

A1
  • preposition
  • As an employee of a certain company
  • Against something or someone
  • By using something as a means
  • Due to; because of
  • Including
  • Possessing as a feature
  • Related to
  • (Of the manner/attitude by which you do something)
  • Used to express that people or things are together

bear

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US / bɛː /

UK / bɛr /

A2
  • noun
  • Large brown animal with fur that lives in forests
  • Someone who expects stock market to fall
  • verb
  • To accept (responsibilities or duties)
  • To give birth to a child; to produce fruit
  • To accept or suffer the weight of difficulties
  • To keep moving left or right while going forward
  • To show (sign of something)
  • To support the weight of something, e.g. a bridge

hand

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US / hænd /

UK / hænd /

A1
  • noun
  • Cards given to a player in a card game
  • Piece of a clock that points to the time
  • Someone who performs physical tasks or work
  • Body part at the end of a person's arm
  • Help for someone performing a particular action
  • Condition of having power or influence
  • Member of the crew of a ship
  • verb
  • To give something to someone personally

boy

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US / bɔɪ /

UK / bɔɪ /

A1
  • noun
  • A young male person

instinct

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US / 'ɪnstɪŋkt /

UK / ˈɪnˌstɪŋkt /

B1
  • noun
  • Natural way of thinking; intuition
  • Natural way (person or animal) thinks, behaves

see

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US / si: /

UK / si /

A1
  • verb
  • To go on a date with someone
  • To predict whether something is, or will be true
  • To understand what someone says
  • To use your eyes to look at something
  • To visit a place often for sightseeing or pleasure
  • To visit or meet with someone
  • To find out by waiting or looking
  • To watch (a game, movie or TV show)

could

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US / kəd /

UK / kʊd /

A1
  • other
  • Past form of 'can' to mean have ability
  • Used to ask for something politely, or to offer

goliath

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US / ɡəˈlaɪəθ /

UK / ɡəˈlaɪəθ /

B2
  • noun
  • Very large or powerful person, company etc.

handle

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US / 'hændl /

UK / ˈhændl /

A2
  • noun
  • The part of a door you hold to open it
  • Thing you hold to carry or open a bag, pan etc.
  • verb
  • To cope with or take responsibility for
  • To control a machine, car etc.
  • To control or be controlled /used in a certain way
  • To deal with a particular situation/person; manage
  • To buy, sell, or move materials or goods
  • To hold, control, or use something with the hands
  • To touch objects with the hands to look at them

know

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US / nəʊ /

UK / noʊ /

A1
  • verb
  • To be familiar with a person or place, thing
  • To feel sure or be convinced about something
  • To discover or be aware of something
  • To be able to distinguish
  • To have knowledge of things

ninety

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US / 'naɪntɪ /

UK / ˈnaɪnti /

A1
  • number
  • 90

battle

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US / 'bætl /

UK / ˈbætl /

A2
  • noun
  • Military fight between armies
  • Working hard to stop something; struggle
  • verb
  • To fight or struggle against someone or something
  • To work hard to stop something; struggle

another

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US / əˈnʌðə(r) /

UK / əˈnʌðɚ /

A1
  • adjecitve
  • One more, but not this
  • determiner
  • One more added
  • pronoun
  • One more (thing)

approximation

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US / əˌprɒksɪˈmeɪʃn /

UK / əˌprɑksəˈmeʃən /

B2
  • noun
  • Something that is similar, but not an exact copy

region

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US / 'ri:dʒən /

UK / ˈridʒən /

A2
  • noun
  • Part of a country, of the world, area, etc.

sometimes

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US / ˈsʌmtaɪmz /

UK / ˈsʌmˌtaɪmz /

A1
  • adverb
  • Only at certain times; occasionally

church

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US / tʃɜ:tʃ /

UK / tʃɚtʃ /

A1
  • noun
  • Building where Christians gather and pray to God
  • An occasion of Christian religious prayer, worship

any

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US / 'enɪ /

UK / ˈɛni /

A1
  • adjecitve
  • One, or some, no matter which
  • pronoun
  • One (thing) of many; some

come

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US / kʌm /

UK / kʌm /

A1
  • verb
  • To arrive at a place
  • (Of mail) to be delivered
  • To move toward someone; go with someone
  • To reach a certain point or state

particular

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US / pəˈtɪkjələ(r) /

UK / pɚˈtɪkjəlɚ, pəˈtɪk- /

B2
  • adjecitve
  • One specific (one)
  • Having firm ideas about what is desirable
  • Being special or more than is typical

think

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US / θɪŋk /

UK / θɪŋk /

A1
  • verb
  • To have an idea about something without certainty
  • To have an idea, opinion or belief about something

beyond

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US / bɪ'jɒnd /

UK / biˈɑnd, bɪˈjɑnd /

A2
  • adverb
  • On or to the farther side
  • In addition to
  • preposition
  • Later in time than
  • Out of the limits of

keep

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US / ki:p /

UK / kip /

A1
  • noun
  • Large, strong tower in the middle of a castle
  • Money spent on you so you can live in a place
  • verb
  • To continue doing something; not to stop
  • To stop balls going in a goal in sports
  • To not give back or return something
  • (Of food) to not spoil or not rot
  • To take possession of something to own, e.g. a pet
  • To have and continue to hold something
  • To do something that you have promised or agreed
  • To stay in a certain place or condition
  • To maintain the rules

nineteen

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US / ˌnaɪnˈti:n /

UK / naɪnˈtin /

A1
  • number
  • 19

something

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US / ˈsʌmθɪŋ /

UK / ˈsʌmθɪŋ /

A1
  • adverb
  • In some degree or measure
  • noun
  • a person or thing of some value or consequence
  • pronoun
  • Thing that is not yet known or named
  • Approximately

notorious

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US / nəʊ'tɔ:rɪəs /

UK / noʊ'tɔ:rɪrs /

B2
  • adjecitve
  • Being famous or publicly known for something bad

nine

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US / naɪn /

UK / naɪn /

A1
  • number
  • 9

put

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US / pʊt /

UK / pʊt /

A1
  • phrasal verb
  • to make a light stop shining by pressing or moving a switch
  • verb
  • To move or place a thing in a particular position
  • To rate something in importance or value
  • To write or say something in a certain manner

two

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US / tu: /

UK / tu /

A1
  • number
  • 2

ten

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US / ten /

UK / tɛn /

A1
  • number
  • 10

base

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US / beɪs /

UK / bes /

A2
  • noun
  • Place military personnel live, train, and operate
  • Bottom part of an object that touches a surface
  • Unit of counting, e.g. 10 for counting
  • Most important idea or ingredient to add others
  • Origin or start from which something came
  • Main place where an organization or a person works
  • verb
  • To use as the starting point or origin for
  • To have as the main location for (company, etc.)

and

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US / ənd /

UK / ənd, ən,ænd /

A1
  • conjunction
  • Used to refer to two or more things
  • Plus; in addition; on top of that
  • Used to introduce an action that follows another

calculation

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US / ˌkælkjuˈleɪʃn /

UK / ˌkælkjəˈleʃən /

B2
  • noun
  • Process or result of using mathematics
  • An educated guess about something

back

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US / bæk /

UK / bæk /

A1
  • adjecitve
  • Farthest from the front e.g. in a classroom
  • adverb
  • Have returned to a place you were before
  • noun
  • The part of a chair that the upper body leans upon
  • Location at the rear of something
  • The reverse of side something
  • Area on the rear of your body
  • verb
  • To bet money on something
  • To go backwards in a car
  • To support and encourage someone or some cause

guy

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US / ɡaɪ /

UK / ɡaɪ /

A1
  • noun
  • Man; boy; any person

lot

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US / lɒt /

UK / lɑt /

A1
  • noun
  • What happens to a person in life from chance; fate
  • A group of people seen together
  • Item for sale at an auction
  • Small area of land used for a purpose e.g. parking

bible

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US / ˈbaɪbl /

UK / ˈbaɪbl /

B1
  • noun
  • Book of collected Christian writings

anything

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US / ˈeniθɪŋ /

UK / ˈɛniˌθɪŋ /

A1
  • pronoun
  • A thing of any kind

from

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US / frəm /

UK / frʌm, frɑm,frəm /

A1
  • preposition
  • Starting at a particular place, time or level

out

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US / aʊt /

UK / aʊt /

A1
  • adverb
  • No longer stylish (e.g. fashion)
  • Away from home, business, or the usual place
  • In a direction/movement away from inside or center
  • noun
  • Act when a batter cannot continue playing
  • verb
  • To tell people a secret

over

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US / 'əʊvə(r) /

UK / ˈovɚ /

A1
  • adverb
  • Finished; no longer happening
  • Towards the ground/away from a standing position
  • noun
  • A set of six consecutive balls bowled in cricket
  • other
  • Finished
  • preposition
  • Showing the relation when a thing is above another
  • On or covering something
  • Above or across something
  • More than you need
  • From one side to the other
  • In the direction of; toward

clip

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US / klɪp /

UK / klɪp /

B1
  • noun
  • A metal holder used for keeping things together
  • Brief part of a television show or movie
  • verb
  • To attach things together using a metal pin
  • To cut a small section or piece out from something
  • To hit something briefly at an angle

call

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US / kɔ:l /

UK / kɔl /

A1
  • noun
  • A order or request for action
  • The sound an animal makes, often when in danger
  • A correct prediction, e.g. a decision in a game
  • A short visit to a place or person
  • A decision by a referee or umpire in a game
  • verb
  • To make a request or order for action
  • (Animal) to make sounds to warn of danger
  • To announce the date of an election
  • To make a judgment about something
  • To give someone or something a name
  • To guess in advance the result or outcome
  • To visit a place or person for a short time
  • To phone someone
  • To speak, announce or shout in a loud voice

approximately

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US / əˈprɒksɪmətli /

UK / əˈprɑksəmɪtlɪ /

A2
  • adverb
  • Around; nearly; almost; about (a number)

double

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US / 'dʌbl /

UK / ˈdʌbəl /

A2
  • adjecitve
  • Concerning or intended for use by two people
  • Two times the amount or degree; twice
  • Made of two parts that are the same, similar
  • noun
  • Person that is exactly like someone else
  • verb
  • To be used for two functions at the same time
  • To make or become twice as much

far

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US / fɑ:(r) /

UK / fɑr /

A1
  • adjecitve
  • A long way away
  • Being a long way away
  • adverb
  • To a large degree or extent

logarithm

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US / ˈlɒgərɪðəm /

UK / ˈlɔ:gərɪðəm /

A1
  • noun
  • Exponent required to produce a given number

mathematician

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US / ˌmæθəməˈtɪʃn /

UK / ˌmæθəməˈtɪʃən /

A2
  • noun
  • Student of or teacher of mathematics

proof

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US / pru:f /

UK / pruf /

A2
  • noun
  • Act of showing that something exists or is true
  • Version of a document to be checked for errors
  • Special coating that protects something
  • Something which shows that something else is true
  • verb
  • To read a written work to check for mistakes
  • To protect by painting on a special coating

where

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US / hwɛə /

UK / hwɛr, wɛr /

A1
  • conjunction
  • At or in the place which
  • In whatever place
  • pronoun
  • Word you use to ask the location of something

large

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US / lɑ:dʒ /

UK / lɑ:rdʒ /

A1
  • adjecitve
  • Big; of great size; broad, tall, wide, or fat

rest

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US / rest /

UK / rɛst /

A1
  • noun
  • Time when one relaxes, sleeps, or is inactive
  • State in which there is a lack of motion
  • Part of something remaining after some was used
  • verb
  • To stop working or avoid activity to recover
  • (Of dead person) to lie in a grave
  • To lean, support or place something against
  • To not be tired because you had enough sleep
  • Subtitles section
  • This is the second in a trilogy of videos about really big numbers and the notorious six six six.
  • It should make sense on its own but you can see links to all of them down in the description.
  • Oh God, this is not going to test my Bible knowledge, aren't you?
  • The Goliath was from... I can't remember.
  • Oh, his tribe.
  • I can't remember his tribe.
  • He fought David, didn't he?
  • He's the giant.
  • David the Goliath.
  • Yeah, of course.
  • Yeah, yeah, yeah, yeah.
  • So David did the sling.
  • He must have rocked up to church more than me.
  • I've been to the place where that battle happened.
  • The Philistines stood on the mountain on the one side,
  • and Israel stood on the mountain on the other side with a valley between them.
  • So here is a rock from the Elab Valley, right here in my hand.
  • All right there you go, yeah that's the yeah okay yeah Goliath, that's of course that's who Goliath is.
  • Yeah.
  • So why are we being mean about it?
  • I mean he doesn't seem as bad as the anyway we anyway Goliath numbers, what's a Goliath number?
  • Yeah.
  • Okay so now we're still looking at two to the n, but now we're not looking for six six six, we're looking for six hundred sixty six six six sixes.
  • So we're looking for six, six, six, and then another six, six, six, and so on.
  • So we're looking for that combination which has six hundred and sixty six six, six, sixes in a row.
  • Okay, so the number of digits that must have is three times six hundred and sixty.
  • Yeah, exactly exactly, but there's not enough so there's six hundred sixty six six six sixes.
  • Nineteen ninety eight.
  • Yes, it's nineteen hundred ninety eight sixes in a row, but it's six hundred sixty six six six sixes, right?
  • Okay, that's what it is.
  • Okay, so these numbers which contain this are called Goliath numbers.
  • Right.
  • They have a symbol.
  • Okay, so the smallest Goliath number is
  • a symbol like that.
  • Okay, do we know any Goliath numbers?
  • And it has to be a two to the n, it can't be It has to be a two to the n, it has to contain this monster here, right?
  • So what's the first Goliath number?
  • We don't know.
  • There's not been one found.
  • We have found a Goliath number.
  • This is a Goliath number.
  • Let me show you.
  • This is the smallest known Goliath, this.
  • So this is two to the you can say it's two to the K, where K is this absolute monster.
  • So that's the power.
  • That's the power.
  • Not the number.
  • That's not the number.
  • The number itself is just going to be massive.
  • Right.
  • So this is the smallest known Goliath.
  • It's probably not the smallest, seems to be the thinking.
  • Right.
  • But we don't know the smallest.
  • If that's not the smallest, and they were searching for the smallest, what made them choose that n and not a smaller n?
  • So there's some sort of algorithm that this particular mathematician found to try to find them.
  • And this one gets the smallest one that they could find.
  • But there's no proof or even suggestion that this is the smallest actually.
  • Right.
  • I'd love to see the expansion to see where the Goliath appears.
  • I mean there's no I can't put it into edit, it's too big.
  • Yeah.
  • It's too big.
  • So
  • Obviously I tried, I think it, oh, you know, this was written ten years ago or something.
  • I'm gonna whack it into a computer apartment.
  • No, I couldn't find one.
  • I mean my computer just kept crashing.
  • So yeah, I mean it's a challenge.
  • I think, what is the smallest one?
  • It's not known.
  • And this one exists.
  • But it's huge, you know, so.
  • Wow.
  • These are the Goliaths.
  • How much would you like to be the person to find the smallest Goliath?
  • Would that mean anything to you?
  • Or would you think you're an idiot?
  • Or would you like take some pride in it?
  • So when I was prepping for this video, I got a bit cocky and I thought, I'm going to find this.
  • And I'm like, I'm going to totally find it.
  • And then if I'd found it, I would have come swaggering in thinking, oh, look at me, like, you know.
  • And I said Brady, I found it!
  • I expected you to be very impressed.
  • I would have been.
  • And I didn't find it.
  • No.
  • Sadly.
  • Yeah, so those are Goliath numbers.
  • Wow.
  • So a bit of a mystery there.
  • So we're not stopping, we're not stopping.
  • No.
  • We're not stopping.
  • We're just getting started.
  • We're just getting started.
  • There are more of these kind of apocalyptic six six six y type numbers that Pickover likes to play with.
  • Another one is Legion's number.
  • Okay, so legions, the legions of demons I think or whatever it is, there's something like that.
  • Legion sounds bad, right?
  • It's like legions of Roman legions?
  • I don't think it's Roman legions but it probably comes from that.
  • I think it's, I think it's this kind of legions of demonic entities that, you know.
  • So what is the legion number?
  • Well the legion number has a symbol as well.
  • I think it's kind of like this.
  • And it's six six six to the six six six, okay?
  • You can write this number out.
  • It's not particularly complicated.
  • This number's bigger than a googol.
  • It's not particularly exciting, I don't think.
  • I couldn't really find anything particularly exciting about it.
  • But you can start to ramp it up a little bit.
  • So there's another number which, which Pickover looks at.
  • So this, he says this is Legion's number, but it's Legion's number of the first kind.
  • Then he introduces Legion's number of the second kind, okay?
  • So, so what is this?
  • Well this is kind of, you build it like this, so you have the second kind, so you have two of these guys, right?
  • And this is six, six, six factorial to the six, six, six factorial.
  • Okay?
  • This is getting silly now.
  • This is getting a bit silly, we haven't stopped yet really.
  • Okay this is big.
  • Yeah.
  • Okay this is bigger, well we'll see how big it is in a minute because we want to think about how big it is.
  • Because there's another number which is big that you introduced which is the Leviathan number.
  • Again, sea monster, scary.
  • This has a symbol as well.
  • It's got all of these symbols.
  • Its symbol is like a little horny thing.
  • A little horny thing.
  • That doesn't sound right, I didn't mean it that way.
  • Yeah, okay.
  • And this is, this is ten to the six, six, six, factorial.
  • Okay, so these are both clearly big numbers, right?
  • Which is bigger out of the rest?
  • Yes, which one is bigger?
  • Which do you think?
  • My instinct was that that was going to be bigger.
  • Yeah, yeah, yeah.
  • And it is, it is bigger, it is bigger.
  • But you can ask how big it is.
  • How would you figure out how big it is?
  • Okay, well one thing you can ask is how many digits do you think it's got?
  • The way you would do that, you take a logarithm with respect to
  • base ten, okay?
  • Because, you know, it's thinking something like, you know, ten to the two, right?
  • It's, it's a, it's, you know, you take the log it's actually a hundred, okay?
  • So that's, by taking the logarithm you get two, and that's one off the number of digits, tells you the number of zeros.
  • So, so taking a logarithm tells you, gives you an estimate for the size of the number.
  • So if you do the base ten log of this guy,
  • this is the phase two.
  • The legion's number is second kind.
  • Second kind, yeah.
  • It's not too difficult to calculate.
  • This is, this is, you use the sort of rules of logs to do it and you can get you get six six six factorial log ten of six six six
  • factorial.
  • Your computer can handle that, that's not difficult at all.
  • Approximately equal to one point six times ten to the one five nine six.
  • That gives you a flavor for how many digits this has got, right?
  • It's the order of this number of digits.
  • So it's clearly a very big number.
  • It's clearly bigger than a googolplex.
  • Okay, this is bigger than a googolplex, which we'll come back to in a minute actually.
  • Okay, what about this guy?
  • How big is this?
  • Well this one's harder to we want to take its log, right?
  • But this one's hard you can't it's not as easy as this one, the calculation is harder.
  • You have to use something called Stirling's approximation.
  • So Stirling's approximation tells us how to calculate factorials for big numbers.
  • So if you've got n factorial, and n is a big number, Stirling's approximation tells us
  • that this goes like two pi n, n over e to the n. Now this is, this approximation is due to a guy called James Stirling, who's a mathematician from the, you know, born in the seventeenth century, Scottish mathematician.
  • Now at this point Tony goes on a bit of a tangent about Stirling.
  • I've chopped that out, but you can see the clip over on Numberphile too.
  • So basically, you know, you use this approximation, you approximate this number using this formula.
  • This is approximately six point six five five six, I don't know, there's more digits, times ten to the six six eight digits long.
  • So it's somewhat smaller.
  • It's a lot smaller.
  • It's still, this, this number of digits is still larger than a googol.
  • So this is, this number, this Leviathan number, so this is the Leviathan, this is the Liege number, the second kind, they're both bigger than a googolplex.
  • Now Brady, do you remember when we did about a googolplex?
  • One of the things we said was that in a universe that was a googolplex metres across, then you would get doppelgangers.
  • So we can ask the question, what if you had a number, a universe that was a googolplex, not a googolplex, a leviathan metres across?
  • Or a legion to the second kind metres across?
  • Or Planck lengths across?
  • Whatever, you know, units you want.
  • You know, what does that kind of contain?
  • Well I reckon if the devil exists,
  • And he's around the size of a human, then there will be more than one devil in such a universe.
  • There would be multiple copies of it.
  • Just by the same rationale as we had for the number of ways in which you can arrange that sort of devil sized region of space, you have to have repetitions.
  • So there we are.
  • All right.
  • let's talk about super leviathans.
  • Now this is my own definition now, okay?
  • Okay.
  • So, so, Pickover does have a definition for super leviathans, but I thought it was totally unsatisfactory, so I'm having my own one.
  • Okay?
  • So, so, definition of super leviathans.
  • Well, remember what the levi what the leviathan was.
  • It was ten to the six six six factorial.
  • That was the leviathan.
  • Okay?
  • The horny number.
  • The horny number, yeah yeah.
  • So what's the super Leviathan?
  • Well instead of using a factorial, let's use a super factorial.
  • So super factorial is where you have, it's sometimes done with a dollar sign, and it's this basically.
  • And it's m factorial to the n factorial, da da da da, keep going with m factorials, and there should be n factorial of these guys.
  • So it's n factorial to the n factorial to the n factorial to the n factorial, and there's n factorial in this tower.
  • So you can imagine if you, if you did ten to the six six six super, super six six six super factorial, that's ten to the six six six factorial to the ten six six six six factorial, da da da da da da, loads of these bad boys,
  • And in fact there's ten to the six, six, six factorial of them.
  • So you've got leviathan to the leviathan to the leviathan to the leviathan to the leviathan to the leviathan, and you've got a leviathan of them.
  • That's just crazy.
  • You might remember when we did
  • double arrow notation in Graham's number.
  • For those that know, you can write this in double arrow notation.
  • It would just be n factorial double arrow n factorial, but anyway.
  • But this is obviously another scale big.
  • It's going to take you way beyond any numbers you could imagine in the universe, in the apocalypse, you know, way beyond Poincare recurrences, everything.
  • This is just silly big.
  • But this is still going to be small compared to Graham's number.
  • That's what everyone was asking.
  • This is going to be tiny compared to this.
  • Nothing.
  • So even this super Leviathan doesn't touch Graham.
  • Doesn't touch the sides.
  • There's a third in this trilogy of apocalyptic videos.
  • It deals with prime and Fibonacci numbers.
  • Links are in all the usual places.
  • The last digit you can actually get, the last, I think there's a list, the last five hundred digits you can, because it turns out you take a big enough power of three, the last digits are very predictable.
  • But the first digit, I don't know.
  • And — — It's your number, what do you want the first digit to be?
  • — Well in binary it's one, so there you go.
  • — So we have a universe which is a googolplex metres across.
  • then that's very big.
  • And if you actually traveled far enough in that universe, you would start to see repetitions.
  • You would start to see exact copies of yourself.