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Googolplex vs Infinite - What's the difference?

googolplex | infinite |

As numerals the difference between googolplex and infinite

is that googolplex is the number 10^{10^{100}}, ten to the power of a googol while infinite is infinitely many.

As an adjective infinite is

indefinably large, countlessly great; immense.

googolplex

Numeral

(es)
  • (cardinal) The number 10^{10^{100}}, ten to the power of a googol.
  • * 1980 , , chapter IX
  • If the universe were packed solid with neutrons, say, so there was no empty space anywhere, there would still only be about 10128 particles in it, quite a bit more than a googol but trivially small compared to a googolplex .

    infinite

    English

    Adjective

    (en adjective)
  • Indefinably large, countlessly great; immense.
  • * , I.40:
  • The number is so infinite , that verily it would be an easier matter for me to reckon up those that have feared the same.
  • * (and other bibliographic particulars) H. Brooke
  • Whatever is finite, as finite, will admit of no comparative relation with infinity; for whatever is less than infinite is still infinitely distant from infinity; and lower than infinite distance the lowest or least cannot sink.
  • * (and other bibliographic particulars) Marlowe
  • infinite riches in a little room
  • * (and other bibliographic particulars) Milton
  • which infinite calamity shall cause to human life
  • Boundless, endless, without end or limits; innumerable.
  • * Bible, Psalms cxlvii. 5
  • Great is our Lord, and of great power; his understanding is infinite .
  • With plural noun: infinitely many.
  • * 2012 , Helen Donelan, ?Karen Kear, ?Magnus Ramage, Online Communication and Collaboration: A Reader
  • Huxley's theory says that if you provide infinite monkeys with infinite typewriters, some monkey somewhere will eventually create a masterpiece – a play by Shakespeare, a Platonic dialogue, or an economic treatise by Adam Smith.
  • (mathematics) Greater than any positive quantity or magnitude; limitless.
  • (set theory, of a set) Having infinitely many elements.
  • * {{quote-web
  • , year = 2009 , author = Brandon C. Look , title = Symbolic Logic II, Lecture 2: Set Theory , site = www.uky.edu/~look , url = http://www.uky.edu/~look/Phi520-Lecture7.pdf , accessdate = 2012-11-20 }}
    For any infinite set, there is a 1-1 correspondence between it and at least one of its proper subsets. For example, there is a 1-1 correspondence between the set of natural numbers and the set of squares of natural numbers, which is a proper subset of the set of natural numbers.
  • (grammar) Not limited by person or number.
  • (music) Capable of endless repetition; said of certain forms of the canon, also called perpetual fugues, constructed so that their ends lead to their beginnings.
  • Usage notes

    Although the term is incomparable in the precise sense, it can be comparable both in mathematics and set theory to compare different degrees of infinity, and informally to denote yet a larger thing.

    Synonyms

    * amaranthine * boundless * countless * endless * immeasurable * inestimable * interminable * limitless * unbounded * unlimited * vast

    Antonyms

    * finite * infinitesimal * limited

    Hyponyms

    * (set theory) countably infinite * (set theory) uncountable

    Derived terms

    * infinitely * infinitesimal * infinitude * infinity

    Numeral

    (head)
  • Infinitely many.
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