Faster access than browser!Similarities between Axiomatic system and Von Neumann–Bernays–Gödel set theory
Axiomatic system and Von Neumann–Bernays–Gödel set theory have 17 things in common (in Unionpedia): Axiom, Axiom of choice, Axiom schema, Consistency, Continuum hypothesis, Contradiction, Formal system, Foundations of mathematics, Gödel's incompleteness theorems, Georg Cantor, Independence (mathematical logic), Model theory, Natural number, Principia Mathematica, Set (mathematics), 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 Axiomatic system · Axiom and Von Neumann–Bernays–Gödel 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 Axiomatic system · Axiom of choice and Von Neumann–Bernays–Gödel set theory ·
Axiom schema
In mathematical logic, an axiom schema (plural: axiom schemata or axiom schemas) generalizes the notion of axiom.
Axiom schema and Axiomatic system · Axiom schema and Von Neumann–Bernays–Gödel set theory ·
Consistency
In classical deductive logic, a consistent theory is one that does not contain a contradiction.
Axiomatic system and Consistency · Consistency and Von Neumann–Bernays–Gödel set theory ·
Continuum hypothesis
In mathematics, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets.
Axiomatic system and Continuum hypothesis · Continuum hypothesis and Von Neumann–Bernays–Gödel set theory ·
Contradiction
In classical logic, a contradiction consists of a logical incompatibility between two or more propositions.
Axiomatic system and Contradiction · Contradiction and Von Neumann–Bernays–Gödel set theory ·
Formal system
A formal system is the name of a logic system usually defined in the mathematical way.
Axiomatic system and Formal system · Formal system and Von Neumann–Bernays–Gödel set theory ·
Foundations of mathematics
Foundations of mathematics is the study of the philosophical and logical and/or algorithmic basis of mathematics, or, in a broader sense, the mathematical investigation of what underlies the philosophical theories concerning the nature of mathematics.
Axiomatic system and Foundations of mathematics · Foundations of mathematics and Von Neumann–Bernays–Gödel set theory ·
Gödel's incompleteness theorems
Gödel's incompleteness theorems are two theorems of mathematical logic that demonstrate the inherent limitations of every formal axiomatic system containing basic arithmetic.
Axiomatic system and Gödel's incompleteness theorems · Gödel's incompleteness theorems and Von Neumann–Bernays–Gödel set theory ·
Georg Cantor
Georg Ferdinand Ludwig Philipp Cantor (– January 6, 1918) was a German mathematician.
Axiomatic system and Georg Cantor · Georg Cantor and Von Neumann–Bernays–Gödel set theory ·
Independence (mathematical logic)
In mathematical logic, independence refers to the unprovability of a sentence from other sentences.
Axiomatic system and Independence (mathematical logic) · Independence (mathematical logic) and Von Neumann–Bernays–Gödel set theory ·
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.
Axiomatic system and Model theory · Model theory and Von Neumann–Bernays–Gödel set theory ·
Natural number
In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").
Axiomatic system and Natural number · Natural number and Von Neumann–Bernays–Gödel set theory ·
Principia Mathematica
The Principia Mathematica (often abbreviated PM) is a three-volume work on the foundations of mathematics written by Alfred North Whitehead and Bertrand Russell and published in 1910, 1912, and 1913.
Axiomatic system and Principia Mathematica · Principia Mathematica and Von Neumann–Bernays–Gödel set theory ·
Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
Axiomatic system and Set (mathematics) · Set (mathematics) and Von Neumann–Bernays–Gödel set theory ·
Set theory
Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.
Axiomatic system and Set theory · Set theory 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.
Axiomatic system and Zermelo–Fraenkel set theory · Von Neumann–Bernays–Gödel set theory and Zermelo–Fraenkel set theory ·
The list above answers the following questions
- What Axiomatic system and Von Neumann–Bernays–Gödel set theory have in common
- What are the similarities between Axiomatic system and Von Neumann–Bernays–Gödel set theory
Axiomatic system and Von Neumann–Bernays–Gödel set theory Comparison
Axiomatic system has 57 relations, while Von Neumann–Bernays–Gödel set theory has 146. As they have in common 17, the Jaccard index is 8.37% = 17 / (57 + 146).
References
This article shows the relationship between Axiomatic system and Von Neumann–Bernays–Gödel set theory. To access each article from which the information was extracted, please visit:
