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Conservative extension and Von Neumann–Bernays–Gödel set theory

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

Difference between Conservative extension and Von Neumann–Bernays–Gödel set theory

Conservative extension vs. Von Neumann–Bernays–Gödel set theory

In mathematical logic, a conservative extension is a supertheory of a theory which is often convenient for proving theorems, but proves no new theorems about the language of the original 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).

Similarities between Conservative extension and Von Neumann–Bernays–Gödel set theory

Conservative extension and Von Neumann–Bernays–Gödel set theory have 7 things in common (in Unionpedia): Axiom of choice, Consistency, Continuum hypothesis, Mathematical logic, Model theory, Principle of explosion, 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 Conservative extension · Axiom of choice and Von Neumann–Bernays–Gödel set theory · See more »

Consistency

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

Conservative extension and Consistency · Consistency and Von Neumann–Bernays–Gödel set theory · See more »

Continuum hypothesis

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

Conservative extension and Continuum hypothesis · Continuum hypothesis and Von Neumann–Bernays–Gödel set theory · See more »

Mathematical logic

Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics.

Conservative extension and Mathematical logic · Mathematical logic and Von Neumann–Bernays–Gödel set theory · See more »

Model theory

In mathematics, model theory is the study of classes of mathematical structures (e.g. groups, fields, graphs, universes of set theory) from the perspective of mathematical logic.

Conservative extension and Model theory · Model theory and Von Neumann–Bernays–Gödel set theory · See more »

Principle of explosion

The principle of explosion (Latin: ex falso (sequitur) quodlibet (EFQ), "from falsehood, anything (follows)", or ex contradictione (sequitur) quodlibet (ECQ), "from contradiction, anything (follows)"), or the principle of Pseudo-Scotus, is the law of classical logic, intuitionistic logic and similar logical systems, according to which any statement can be proven from a contradiction.

Conservative extension and Principle of explosion · Principle of explosion 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.

Conservative extension and Zermelo–Fraenkel set theory · Von Neumann–Bernays–Gödel set theory and Zermelo–Fraenkel set theory · See more »

The list above answers the following questions

Conservative extension and Von Neumann–Bernays–Gödel set theory Comparison

Conservative extension has 24 relations, while Von Neumann–Bernays–Gödel set theory has 146. As they have in common 7, the Jaccard index is 4.12% = 7 / (24 + 146).

References

This article shows the relationship between Conservative extension and Von Neumann–Bernays–Gödel set theory. To access each article from which the information was extracted, please visit:

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