Sentences with DENUMERABLE

Check out our example sentences below to help you understand the context.

Sentences

"The set of integers is denumerable."

"The denumerable collection of prime numbers can be generated using an algorithm."

"In mathematics, a denumerable set is one that can be put into one-to-one correspondence with the natural numbers."

"A denumerable set is also known as a countable set."

"The set of rational numbers is denumerable since they can be arranged in a sequence."

"A denumerable union of denumerable sets is also a denumerable set."

"Every denumerable set has the same cardinality as the set of natural numbers."

"Cantor's diagonal argument can be used to prove that the real numbers are not denumerable."

"Assuming the continuum hypothesis, there are denumerable models of set theory."

"The set of natural numbers is denumerable."

"A denumerable set can be put in one-to-one correspondence with the natural numbers."

"The rational numbers are denumerable."

"An infinite union of denumerable sets is itself denumerable."

"The set of even numbers is denumerable."

"The countable union of countable sets is denumerable."

"There are denumerable subsets of the real numbers."

"The set of integers is denumerable."

"A denumerable infinite set has the same cardinality as the natural numbers."

"Any subset of a denumerable set is either denumerable or finite."

"The set of prime numbers is denumerable."

"The set of algebraic numbers is denumerable."

"The set of all algebraic equations with integer coefficients is denumerable."

"Cantor's diagonal argument proves that the real numbers are not denumerable."

"A denumerable set can be enumerated using an algorithm."

"The set of polynomials with integer coefficients is denumerable."

"The set of all possible English sentences is denumerable."

"There exist denumerable collections of uncountable sets."

"The set of all finite strings of characters is denumerable."

"The set of all possible chess positions is denumerable."