Infinitesimal vs Infinite - What's the difference?
infinitesimal | infinite | Antonyms |
Incalculably, exceedingly, or immeasurably minute; vanishingly small.
*
(mathematics) Of or pertaining to values that approach zero as a limit.
(informal) Very small.
(mathematics) A non-zero quantity whose magnitude is smaller than any positive number (by definition it is not a real number).
Indefinably large, countlessly great; immense.
* , I.40:
* (and other bibliographic particulars) H. Brooke
* (and other bibliographic particulars) Marlowe
* (and other bibliographic particulars) Milton
Boundless, endless, without end or limits; innumerable.
* Bible, Psalms cxlvii. 5
With plural noun: infinitely many.
* 2012 , Helen Donelan, ?Karen Kear, ?Magnus Ramage, Online Communication and Collaboration: A Reader
(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 }}
(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.
Infinitely many.
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Infinite is a antonym of infinitesimal.
Infinite is a derived term of infinitesimal.
In mathematics terms the difference between infinitesimal and infinite
is that infinitesimal is a non-zero quantity whose magnitude is smaller than any positive number (by definition it is not a real number) while infinite is greater than any positive quantity or magnitude; limitless.As a noun infinitesimal
is a non-zero quantity whose magnitude is smaller than any positive number (by definition it is not a real number).As a numeral infinite is
infinitely many.infinitesimal
English
Adjective
(en adjective)Usage notes
* Strictly, this adjective, like infinite, is incomparable, so more infinitesimal' and '''most infinitesimal are proscribed, especially in the mathematical sense. However, these forms do occur in informal usage, where the ''very small (but measurable) sense is most common.Synonyms
* See alsoAntonyms
* infinite * enormousNoun
(wikipedia infinitesimal) (en noun)Antonyms
* infinityDerived terms
* infinitesimal calculus * infinitesimallyinfinite
English
Adjective
(en adjective)- The number is so infinite , that verily it would be an easier matter for me to reckon up those that have feared the same.
- 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.
- infinite riches in a little room
- which infinite calamity shall cause to human life
- Great is our Lord, and of great power; his understanding is infinite .
- 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.
- 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.