Sentences with DENUMERABILITY
Check out our example sentences below to help you understand the context.Sentences
1
"The denumerability of the set of natural numbers is evident as they can be listed in a specific order."
2
"In set theory, denumerability is often used to classify sets as countable or uncountable."
3
"One way to prove denumerability is by establishing a bijection between a set and the set of natural numbers."
4
"The rational numbers demonstrate denumerability as they can be listed in a systematic manner."
5
"The concept of denumerability is closely related to countability in mathematics."
6
"An uncountable set does not possess denumerability as it cannot be put in a one-to-one correspondence with the natural numbers."
7
"In Cantor's diagonal argument, he showed that the real numbers lack denumerability."
8
"The denumerability of the set of algebraic numbers is still an open question in mathematics."
9
"The concept of denumerability has applications in various branches of mathematics and theoretical computer science."
10
"The denumerability of the set of all Turing machines is a fundamental result in computability theory."
1
"The denumerability of the natural numbers allows us to count them one by one."
2
"The denumerability of the rational numbers means we can assign each of them a place in an ordered list."
3
"One of the properties of denumerability is that it implies countability."
4
"The denumerability of the set of integers allows us to establish a one-to-one correspondence with the natural numbers."
5
"The denumerability of the set of prime numbers is a topic of interest in number theory."
6
"The concept of denumerability was introduced by mathematician Georg Cantor."
7
"To prove denumerability, we need to demonstrate a bijection between a set and the set of natural numbers."
8
"The denumerability of the set of algebraic numbers has been a subject of research for centuries."
