Similarities between Axiom of extensionality and Urelement
Axiom of extensionality and Urelement have 7 things in common (in Unionpedia): Axiom of regularity, First-order logic, Mathematics, Set (mathematics), Set theory, Type theory, Zermelo–Fraenkel set theory.
Axiom of regularity
In mathematics, the axiom of regularity (also known as the axiom of foundation) is an axiom of Zermelo–Fraenkel set theory that states that every non-empty set A contains an element that is disjoint from A. In first-order logic, the axiom reads: The axiom implies that no set is an element of itself, and that there is no infinite sequence (an) such that ai+1 is an element of ai for all i. With the axiom of dependent choice (which is a weakened form of the axiom of choice), this result can be reversed: if there are no such infinite sequences, then the axiom of regularity is true.
Axiom of extensionality and Axiom of regularity · Axiom of regularity and Urelement ·
First-order logic
First-order logic—also known as first-order predicate calculus and predicate logic—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science.
Axiom of extensionality and First-order logic · First-order logic and Urelement ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Axiom of extensionality and Mathematics · Mathematics and Urelement ·
Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
Axiom of extensionality and Set (mathematics) · Set (mathematics) and Urelement ·
Set theory
Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.
Axiom of extensionality and Set theory · Set theory and Urelement ·
Type theory
In mathematics, logic, and computer science, a type theory is any of a class of formal systems, some of which can serve as alternatives to set theory as a foundation for all mathematics.
Axiom of extensionality and Type theory · Type theory and Urelement ·
Zermelo–Fraenkel set theory
In mathematics, Zermelo–Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system that was proposed in the early twentieth century in order to formulate a theory of sets free of paradoxes such as Russell's paradox.
Axiom of extensionality and Zermelo–Fraenkel set theory · Urelement and Zermelo–Fraenkel set theory ·
The list above answers the following questions
- What Axiom of extensionality and Urelement have in common
- What are the similarities between Axiom of extensionality and Urelement
Axiom of extensionality and Urelement Comparison
Axiom of extensionality has 22 relations, while Urelement has 26. As they have in common 7, the Jaccard index is 14.58% = 7 / (22 + 26).
References
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