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List of mathematical logic topics and Measurable cardinal

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

Difference between List of mathematical logic topics and Measurable cardinal

List of mathematical logic topics vs. Measurable cardinal

This is a list of mathematical logic topics, by Wikipedia page. In mathematics, a measurable cardinal is a certain kind of large cardinal number.

Similarities between List of mathematical logic topics and Measurable cardinal

List of mathematical logic topics and Measurable cardinal have 17 things in common (in Unionpedia): Axiom of determinacy, Cardinal number, Class (set theory), Continuum hypothesis, Countable set, Elementary equivalence, Huge cardinal, Inaccessible cardinal, Ineffable cardinal, Large cardinal, Mahlo cardinal, Power set, Ramsey cardinal, Strong cardinal, Ultraproduct, Universe (mathematics), Zermelo–Fraenkel set theory.

Axiom of determinacy

In mathematics, the axiom of determinacy (abbreviated as AD) is a possible axiom for set theory introduced by Jan Mycielski and Hugo Steinhaus in 1962.

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Cardinal number

In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality (size) of sets.

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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.

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Continuum hypothesis

In mathematics, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets.

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Countable set

In mathematics, a countable set is a set with the same cardinality (number of elements) as some subset of the set of natural numbers.

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Elementary equivalence

In model theory, a branch of mathematical logic, two structures M and N of the same signature σ are called elementarily equivalent if they satisfy the same first-order σ-sentences.

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Huge cardinal

In mathematics, a cardinal number κ is called huge if there exists an elementary embedding j: V → M from V into a transitive inner model M with critical point κ and Here, αM is the class of all sequences of length α whose elements are in M. Huge cardinals were introduced by.

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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.

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Ineffable cardinal

In the mathematics of transfinite numbers, an ineffable cardinal is a certain kind of large cardinal number, introduced by.

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Large cardinal

In the mathematical field of set theory, a large cardinal property is a certain kind of property of transfinite cardinal numbers.

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Mahlo cardinal

In mathematics, a Mahlo cardinal is a certain kind of large cardinal number.

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Power set

In mathematics, the power set (or powerset) of any set is the set of all subsets of, including the empty set and itself, variously denoted as, đť’«(), ℘() (using the "Weierstrass p"),,, or, identifying the powerset of with the set of all functions from to a given set of two elements,.

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Ramsey cardinal

In mathematics, a Ramsey cardinal is a certain kind of large cardinal number introduced by and named after Frank P. Ramsey.

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Strong cardinal

In set theory, a strong cardinal is a type of large cardinal.

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Ultraproduct

The ultraproduct is a mathematical construction that appears mainly in abstract algebra and in model theory, a branch of mathematical logic.

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Universe (mathematics)

In mathematics, and particularly in set theory, category theory, type theory, and the foundations of mathematics, a universe is a collection that contains all the entities one wishes to consider in a given situation.

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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.

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The list above answers the following questions

List of mathematical logic topics and Measurable cardinal Comparison

List of mathematical logic topics has 354 relations, while Measurable cardinal has 38. As they have in common 17, the Jaccard index is 4.34% = 17 / (354 + 38).

References

This article shows the relationship between List of mathematical logic topics and Measurable cardinal. To access each article from which the information was extracted, please visit:

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