Definition of denumerable in English:

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denumerable

Pronunciation: /dɪˈnjuːm(ə)rəb(ə)l/

adjective

Mathematics
Able to be counted by a one-to-one correspondence with the infinite set of integers.
Example sentences
  • The non-denumerable infinity of real numbers (and thus of points in space and of events in time) is much larger than the merely denumerable infinity of integers.
  • The paper discusses denumerable sets, i.e. those which are in 1-1 correspondence with the natural numbers.

Derivatives

denumerability

Pronunciation: /dɪnjuːm(ə)rəˈbɪlɪti/
noun
Example sentences
  • At least five mathematicians tried to prove denumerability of the value set, to which the names of two of them are attached.
  • I don't know how to approach it… but know that it is based on the concept of denumerability of real numbers.
  • Combining with his proof of the denumerability of rational numbers, it proves the existence of irrational numbers without actually constructing any irrational number.

denumerably

adverb
Example sentences
  • The most famous was his diagonal argument which seems to show that there must be orders of infinity, and specifically that the non-denumerably infinite is distinct from the denumerably infinite.
  • This amounts to saying the transfinite whole is not equal to the sum of its denumerably infinite parts.
  • This way of reasoning is also present in finite and denumerably infinite collections.

Origin

Early 20th century: from late Latin denumerare 'count out' + -able.

For editors and proofreaders

Line breaks: de|numer|able

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