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Type theory and Urelement

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

Difference between Type theory and Urelement

Type theory vs. Urelement

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. In set theory, a branch of mathematics, an urelement or ur-element (from the German prefix ur-, 'primordial') is an object (concrete or abstract) that is not a set, but that may be an element of a set.

Similarities between Type theory and Urelement

Type theory and Urelement have 7 things in common (in Unionpedia): First-order logic, Jon Barwise, Mathematics, Peano axioms, Set theory, Type theory, Zermelo–Fraenkel set theory.

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.

First-order logic and Type theory · First-order logic and Urelement · See more »

Jon Barwise

Kenneth Jon Barwise (June 29, 1942 – March 5, 2000) was an American mathematician, philosopher and logician who proposed some fundamental revisions to the way that logic is understood and used.

Jon Barwise and Type theory · Jon Barwise and Urelement · See more »

Mathematics

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

Mathematics and Type theory · Mathematics and Urelement · See more »

Peano axioms

In mathematical logic, the Peano axioms, also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural numbers presented by the 19th century Italian mathematician Giuseppe Peano.

Peano axioms and Type theory · Peano axioms and Urelement · See more »

Set theory

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

Set theory and Type theory · Set theory and Urelement · See more »

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.

Type theory and Type theory · Type theory and Urelement · 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.

Type theory and Zermelo–Fraenkel set theory · Urelement and Zermelo–Fraenkel set theory · See more »

The list above answers the following questions

Type theory and Urelement Comparison

Type theory has 112 relations, while Urelement has 26. As they have in common 7, the Jaccard index is 5.07% = 7 / (112 + 26).

References

This article shows the relationship between Type theory and Urelement. To access each article from which the information was extracted, please visit:

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