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Binary relation and Class (set theory)

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Binary relation and Class (set theory)

Binary relation vs. Class (set theory)

In mathematics, a binary relation on a set A is a set of ordered pairs of elements of A. In other words, it is a subset of the Cartesian product A2. 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.

Similarities between Binary relation and Class (set theory)

Binary relation and Class (set theory) have 10 things in common (in Unionpedia): Bijection, Category theory, Function (mathematics), Mathematics, Morse–Kelley set theory, Ordinal number, Russell's paradox, Set (mathematics), Set theory, Von Neumann–Bernays–Gödel set theory.

Bijection

In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set.

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Category theory

Category theory formalizes mathematical structure and its concepts in terms of a labeled directed graph called a category, whose nodes are called objects, and whose labelled directed edges are called arrows (or morphisms).

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Function (mathematics)

In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.

Binary relation and Function (mathematics) · Class (set theory) and Function (mathematics) · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Morse–Kelley set theory

In the foundations of mathematics, Morse–Kelley set theory (MK), Kelley–Morse set theory (KM), Morse–Tarski set theory (MT), Quine–Morse set theory (QM) or the system of Quine and Morse is a first order axiomatic set theory that is closely related to von Neumann–Bernays–Gödel set theory (NBG).

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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.

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Russell's paradox

In the foundations of mathematics, Russell's paradox (also known as Russell's antinomy), discovered by Bertrand Russell in 1901, showed that some attempted formalizations of the naïve set theory created by Georg Cantor led to a contradiction.

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Set (mathematics)

In mathematics, a set is a collection of distinct objects, considered as an object in its own right.

Binary relation and Set (mathematics) · Class (set theory) and Set (mathematics) · See more »

Set theory

Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.

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Von Neumann–Bernays–Gödel set theory

In the foundations of mathematics, von Neumann–Bernays–Gödel set theory (NBG) is an axiomatic set theory that is a conservative extension of Zermelo–Fraenkel set theory (ZFC).

Binary relation and Von Neumann–Bernays–Gödel set theory · Class (set theory) and Von Neumann–Bernays–Gödel set theory · See more »

The list above answers the following questions

Binary relation and Class (set theory) Comparison

Binary relation has 110 relations, while Class (set theory) has 29. As they have in common 10, the Jaccard index is 7.19% = 10 / (110 + 29).

References

This article shows the relationship between Binary relation and Class (set theory). To access each article from which the information was extracted, please visit:

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