What does axiomatic system mean?

Definitions for axiomatic system
ax·iomat·ic sys·tem

This dictionary definitions page includes all the possible meanings, example usage and translations of the word axiomatic system.

Wiktionary

  1. axiomatic systemnoun

    A set of axioms from which theorems can be derived.

Wikipedia

  1. Axiomatic system

    In mathematics and logic, an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems. A theory is a consistent, relatively-self-contained body of knowledge which usually contains an axiomatic system and all its derived theorems. An axiomatic system that is completely described is a special kind of formal system. A formal theory is an axiomatic system (usually formulated within model theory) that describes a set of sentences that is closed under logical implication. A formal proof is a complete rendition of a mathematical proof within a formal system.

Wikidata

  1. Axiomatic system

    In mathematics, an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems. A mathematical theory consists of an axiomatic system and all its derived theorems. An axiomatic system that is completely described is a special kind of formal system; usually though, the effort towards complete formalisation brings diminishing returns in certainty, and a lack of readability for humans. A formal theory typically means an axiomatic system, for example formulated within model theory. A formal proof is a complete rendition of a mathematical proof within a formal system.

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Numerology

  1. Chaldean Numerology

    The numerical value of axiomatic system in Chaldean Numerology is: 2

  2. Pythagorean Numerology

    The numerical value of axiomatic system in Pythagorean Numerology is: 7


Translations for axiomatic system

From our Multilingual Translation Dictionary

  • அச்சு அமைப்புTamil
  • 公理系统Chinese

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"axiomatic system." Definitions.net. STANDS4 LLC, 2024. Web. 27 Apr. 2024. <https://www.definitions.net/definition/axiomatic+system>.

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