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ετυμολογία

Τι (ποιος) είναι axiomatic foundation - ορισμός

SET OF AXIOMS FROM WHICH SOME OR ALL AXIOMS CAN BE USED IN CONJUNCTION TO LOGICALLY DERIVE THEOREMS

Axiomatization; Axiomatisation; Axiomatic method; Axiomatic framework; Axiom system; Axiomatic reasoning; Hilbert-style calculi; Axiomatic theory; Axiomatic definition; Axiomatic approach; Axiomatic logic; Axiomatic proof; Axiomatic System

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.

https://en.wikipedia.org/wiki/Axiomatic_system

Aczel's anti-foundation axiom

AXIOM OF SET THEORY PROPOSED BY PETER ACZEL IN 1988

Anti-Foundation Axiom; Anti-foundation axiom

In the foundations of mathematics, Aczel's anti-foundation axiom is an axiom set forth by , as an alternative to the axiom of foundation in Zermelo–Fraenkel set theory. It states that every accessible pointed directed graph corresponds to exactly one set.

https://en.wikipedia.org/wiki/Aczel's_anti-foundation_axiom

Axiomatic (book)

COLLECTION OF SHORT SCIENCE FICTION STORIES BY GREG EGAN

Axiomatic (story collection)

Axiomatic () is a 1995 collection of short science fiction stories by Greg Egan. The stories all delve into different aspects of self and identity.

https://en.wikipedia.org/wiki/Axiomatic_(book)

Βικιπαίδεια

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.

https://en.wikipedia.org/wiki/Axiomatic system