undefined$86811$ - traduction vers grec
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Traduction et analyse de mots par intelligence artificielle ChatGPT

Sur cette page, vous pouvez obtenir une analyse détaillée d'un mot ou d'une phrase, réalisée à l'aide de la meilleure technologie d'intelligence artificielle à ce jour:

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  • étymologie

undefined$86811$ - traduction vers grec

UNDEFINED TERM MOTIVATED INFORMALLY, USUALLY BY AN APPEAL TO INTUITION AND EVERYDAY EXPERIENCE, OR INTRODUCED AXIOMATICALLY AND EVENTUALLY GENERATED ONLY BY A SERIES OF ELEMENTARY OPERATIONS
Undefined term; Undefined primitive; Primitive term; Primitive Notion; Primitive concept

undefined      
adj. απροσδιόριστος

Définition

undefined
¦ adjective not clear or defined.
Derivatives
undefinable adjective
undefinably adverb

Wikipédia

Primitive notion

In mathematics, logic, philosophy, and formal systems, a primitive notion is a concept that is not defined in terms of previously-defined concepts. It is often motivated informally, usually by an appeal to intuition and everyday experience. In an axiomatic theory, relations between primitive notions are restricted by axioms. Some authors refer to the latter as "defining" primitive notions by one or more axioms, but this can be misleading. Formal theories cannot dispense with primitive notions, under pain of infinite regress (per the regress problem).

For example, in contemporary geometry, point, line, and contains are some primitive notions. Instead of attempting to define them, their interplay is ruled (in Hilbert's axiom system) by axioms like "For every two points there exists a line that contains them both".