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Axiom of constructibility and Set theory

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

Difference between Axiom of constructibility and Set theory

Axiom of constructibility vs. Set theory

The axiom of constructibility is a possible axiom for set theory in mathematics that asserts that every set is constructible. Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.

Similarities between Axiom of constructibility and Set theory

Axiom of constructibility and Set theory have 11 things in common (in Unionpedia): Axiom of choice, Consistency, Constructible universe, Continuum hypothesis, Large cardinal, Measurable cardinal, Paul Cohen, Springer Science+Business Media, Von Neumann universe, Von Neumann–Bernays–Gödel set theory, 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 Axiom of constructibility · Axiom of choice and Set theory · See more »

Consistency

In classical deductive logic, a consistent theory is one that does not contain a contradiction.

Axiom of constructibility and Consistency · Consistency and Set theory · See more »

Constructible universe

In mathematics, in set theory, the constructible universe (or Gödel's constructible universe), denoted L, is a particular class of sets that can be described entirely in terms of simpler sets.

Axiom of constructibility and Constructible universe · Constructible universe and Set theory · See more »

Continuum hypothesis

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

Axiom of constructibility and Continuum hypothesis · Continuum hypothesis and Set theory · See more »

Large cardinal

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

Axiom of constructibility and Large cardinal · Large cardinal and Set theory · See more »

Measurable cardinal

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

Axiom of constructibility and Measurable cardinal · Measurable cardinal and Set theory · See more »

Paul Cohen

Paul Joseph Cohen (April 2, 1934 – March 23, 2007) was an American mathematician.

Axiom of constructibility and Paul Cohen · Paul Cohen and Set theory · See more »

Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

Axiom of constructibility and Springer Science+Business Media · Set theory and Springer Science+Business Media · See more »

Von Neumann universe

In set theory and related branches of mathematics, the von Neumann universe, or von Neumann hierarchy of sets, denoted V, is the class of hereditary well-founded sets.

Axiom of constructibility and Von Neumann universe · Set theory and Von Neumann universe · See more »

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).

Axiom of constructibility and Von Neumann–Bernays–Gödel set theory · Set theory and Von Neumann–Bernays–Gödel 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.

Axiom of constructibility and Zermelo–Fraenkel set theory · Set theory and Zermelo–Fraenkel set theory · See more »

The list above answers the following questions

Axiom of constructibility and Set theory Comparison

Axiom of constructibility has 26 relations, while Set theory has 177. As they have in common 11, the Jaccard index is 5.42% = 11 / (26 + 177).

References

This article shows the relationship between Axiom of constructibility and Set theory. To access each article from which the information was extracted, please visit:

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