Sentences with EXTENSIONALITY
Check out our example sentences below to help you understand the context.Sentences
1
"The principle of extensionality states that two sets are equal if they have the same elements."
2
"In set theory, extensionality is one of the axioms."
3
"The concept of extensionality is important in logic and mathematics."
4
"The extensionality of functions ensures that each input maps to a unique output."
5
"Understanding extensionality is fundamental in the study of set theory."
6
"The extensionality axiom is independent of other axioms in set theory."
7
"The principle of extensionality is a basic principle in set theory."
8
"The extensionality of predicates is crucial in logic."
9
"In a proof, extensionality can be used to show that two sets are equal."
10
"The principle of extensionality is often applied in mathematical proofs."
11
"Using extensionality, we can determine if two sets have the same elements."
12
"The principle of extensionality ensures the uniqueness of sets."
13
"The extensionality principle is used in various branches of mathematics."
1
"Quine's thesis of extensionality states that structures with the same elements are identical."
2
"The principle of extensionality is one of the basic principles in set theory."
3
"The concept of extensionality is closely related to the notion of equality."
4
"Axioms of extensionality play a crucial role in formalizing mathematical theories."
5
"The principle of extensionality is often employed in proving set-theoretic theorems."
