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Class (set theory) and S (set theory)

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

Difference between Class (set theory) and S (set theory)

Class (set theory) vs. S (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. S is an axiomatic set theory set out by George Boolos in his article, Boolos (1989).

Similarities between Class (set theory) and S (set theory)

Class (set theory) and S (set theory) have 8 things in common (in Unionpedia): Burali-Forti paradox, Category theory, Inaccessible cardinal, Ordinal number, Russell's paradox, Set (mathematics), Set theory, Zermelo–Fraenkel set theory.

Burali-Forti paradox

In set theory, a field of mathematics, the Burali-Forti paradox demonstrates that constructing "the set of all ordinal numbers" leads to a contradiction and therefore shows an antinomy in a system that allows its construction.

Burali-Forti paradox and Class (set theory) · Burali-Forti paradox and S (set theory) · See more »

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).

Category theory and Class (set theory) · Category theory and S (set theory) · See more »

Inaccessible cardinal

In set theory, an uncountable cardinal is inaccessible if it cannot be obtained from smaller cardinals by the usual operations of cardinal arithmetic.

Class (set theory) and Inaccessible cardinal · Inaccessible cardinal and S (set theory) · See more »

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.

Class (set theory) and Ordinal number · Ordinal number and S (set theory) · See more »

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.

Class (set theory) and Russell's paradox · Russell's paradox and S (set theory) · See more »

Set (mathematics)

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

Class (set theory) and Set (mathematics) · S (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.

Class (set theory) and Set theory · S (set theory) and Set theory · See more »

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.

Class (set theory) and Zermelo–Fraenkel set theory · S (set theory) and Zermelo–Fraenkel set theory · See more »

The list above answers the following questions

Class (set theory) and S (set theory) Comparison

Class (set theory) has 29 relations, while S (set theory) has 43. As they have in common 8, the Jaccard index is 11.11% = 8 / (29 + 43).

References

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

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