Similarities between Axiom of choice and Axiom of constructibility
Axiom of choice and Axiom of constructibility have 12 things in common (in Unionpedia): Axiom, Consistency, Constructible universe, Continuum hypothesis, Kurt Gödel, Large cardinal, Non-measurable set, Paul Cohen, Set theory, Springer Science+Business Media, Von Neumann–Bernays–Gödel set theory, Zermelo–Fraenkel set theory.
Axiom
An axiom or postulate is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.
Axiom and Axiom of choice · Axiom and Axiom of constructibility ·
Consistency
In classical deductive logic, a consistent theory is one that does not contain a contradiction.
Axiom of choice and Consistency · Axiom of constructibility and Consistency ·
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 choice and Constructible universe · Axiom of constructibility and Constructible universe ·
Continuum hypothesis
In mathematics, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets.
Axiom of choice and Continuum hypothesis · Axiom of constructibility and Continuum hypothesis ·
Kurt Gödel
Kurt Friedrich Gödel (April 28, 1906 – January 14, 1978) was an Austrian, and later American, logician, mathematician, and philosopher.
Axiom of choice and Kurt Gödel · Axiom of constructibility and Kurt Gödel ·
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 choice and Large cardinal · Axiom of constructibility and Large cardinal ·
Non-measurable set
In mathematics, a non-measurable set is a set which cannot be assigned a meaningful "size".
Axiom of choice and Non-measurable set · Axiom of constructibility and Non-measurable set ·
Paul Cohen
Paul Joseph Cohen (April 2, 1934 – March 23, 2007) was an American mathematician.
Axiom of choice and Paul Cohen · Axiom of constructibility and Paul Cohen ·
Set theory
Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.
Axiom of choice and Set theory · Axiom of constructibility and Set theory ·
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 choice and Springer Science+Business Media · Axiom of constructibility and Springer Science+Business Media ·
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 choice and Von Neumann–Bernays–Gödel set theory · Axiom of constructibility and Von Neumann–Bernays–Gödel set theory ·
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 choice and Zermelo–Fraenkel set theory · Axiom of constructibility and Zermelo–Fraenkel set theory ·
The list above answers the following questions
- What Axiom of choice and Axiom of constructibility have in common
- What are the similarities between Axiom of choice and Axiom of constructibility
Axiom of choice and Axiom of constructibility Comparison
Axiom of choice has 173 relations, while Axiom of constructibility has 26. As they have in common 12, the Jaccard index is 6.03% = 12 / (173 + 26).
References
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