Similarities between Constructible universe and Well-founded relation
Constructible universe and Well-founded relation have 10 things in common (in Unionpedia): Axiom of choice, Axiom of regularity, Class (set theory), Lexicographical order, Mathematics, Ordinal number, Set theory, Transfinite induction, Transitive set, Zermelo–Fraenkel set theory.
Axiom of choice
In mathematics, the axiom of choice, or AC, is an axiom of set theory equivalent to the statement that the Cartesian product of a collection of non-empty sets is non-empty.
Axiom of choice and Constructible universe · Axiom of choice and Well-founded relation ·
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 regularity and Constructible universe · Axiom of regularity and Well-founded relation ·
Class (set theory)
In set theory and its applications throughout mathematics, a class is a collection of sets (or sometimes other mathematical objects) that can be unambiguously defined by a property that all its members share.
Class (set theory) and Constructible universe · Class (set theory) and Well-founded relation ·
Lexicographical order
In mathematics, the lexicographic or lexicographical order (also known as lexical order, dictionary order, alphabetical order or lexicographic(al) product) is a generalization of the way words are alphabetically ordered based on the alphabetical order of their component letters.
Constructible universe and Lexicographical order · Lexicographical order and Well-founded relation ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Constructible universe and Mathematics · Mathematics and Well-founded relation ·
Ordinal number
In set theory, an ordinal number, or ordinal, is one generalization of the concept of a natural number that is used to describe a way to arrange a collection of objects in order, one after another.
Constructible universe and Ordinal number · Ordinal number and Well-founded relation ·
Set theory
Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.
Constructible universe and Set theory · Set theory and Well-founded relation ·
Transfinite induction
Transfinite induction is an extension of mathematical induction to well-ordered sets, for example to sets of ordinal numbers or cardinal numbers.
Constructible universe and Transfinite induction · Transfinite induction and Well-founded relation ·
Transitive set
In set theory, a set A is called transitive if either of the following equivalent conditions hold.
Constructible universe and Transitive set · Transitive set and Well-founded relation ·
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.
Constructible universe and Zermelo–Fraenkel set theory · Well-founded relation and Zermelo–Fraenkel set theory ·
The list above answers the following questions
- What Constructible universe and Well-founded relation have in common
- What are the similarities between Constructible universe and Well-founded relation
Constructible universe and Well-founded relation Comparison
Constructible universe has 66 relations, while Well-founded relation has 47. As they have in common 10, the Jaccard index is 8.85% = 10 / (66 + 47).
References
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