denumerable Synonyms

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denumerable Meaning

Wordnet

denumerable (s)

that can be counted

denumerable Sentence Examples

  1. In mathematics, a set is said to be denumerable if its elements can be counted one by one.
  2. The set of natural numbers is denumerable because it can be listed in a sequence: 1, 2, 3, 4, ...
  3. Denumerable sets have a one-to-one correspondence with the set of natural numbers.
  4. Although the set of integers is infinite, it is denumerable because each integer can be associated with a unique natural number.
  5. The set of rational numbers is denumerable because it can be arranged into a sequence.
  6. A finite set is always denumerable since its elements can be counted exhaustively.
  7. The set of even numbers is denumerable, with each even number paired with a natural number.
  8. The Cantor set is an example of a denumerable set that has a non-intuitive structure.
  9. Denumerable sets play a fundamental role in the study of cardinality and infinity in mathematics.
  10. The concept of denumerability is essential in understanding the different sizes of infinite sets.

FAQs About the word denumerable

that can be counted

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In mathematics, a set is said to be denumerable if its elements can be counted one by one.

The set of natural numbers is denumerable because it can be listed in a sequence: 1, 2, 3, 4, ...

Denumerable sets have a one-to-one correspondence with the set of natural numbers.

Although the set of integers is infinite, it is denumerable because each integer can be associated with a unique natural number.