Axiom
dasNounaxiom
English translations
- 01
axiom
Word details
- German meaning
- Ein Axiom ist eine grundlegende Annahme oder Aussage, die als wahr angesehen wird, ohne dass ein Beweis erforderlich ist, und die als Ausgangspunkt für weitere logische Ableitungen dient.
- English meaning
- An axiom is a basic assumption or statement that is considered true without requiring proof, and serves as a starting point for further logical deductions.
- Synonym
- Grundsatz, Postulat
- German example
- Die Geometrie basiert auf einer Reihe von Axiomen, die als unbeweisbar gelten.
- English example
- Geometry is based on a set of axioms that are considered unprovable.
- Type
- Noun
- Article
- das
- Singular Form
- das Axiom
- Plural Form
- die Axiome
Related words
- axiomatisch
Axiomatic
- Auswahlaxiom
The axiom of choice is an axiom of set theory that states that for any set of non-empty sets, there exists a function that selects an element from each of those sets.
- Gruppentheorie
Group theory is a branch of mathematics that studies groups, algebraic structures with an operation that satisfies certain axioms.
- euklidisch
Euclidean
- Vektorraum
Vector space
Example sentences with “Axiom”
Das ist ein mathematisches Axiom. (That is a mathematical axiom.)
Frequently asked questions
What is the plural of Axiom?
The plural is 'Axiome'. It is a neuter noun (das).