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    Axiom - Wikipedia

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

    An axiom, postulate, or assumption is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. The word comes from the Ancient Greek word ἀξίωμα (axíōma), meaning 'that which is thought worthy or fit' or 'that which commends itself as evident'.

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    Etymology

    The word axiom comes from the Greek word ἀξίωμα (axíōma), a verbal nounfrom the verb ἀξιόειν (axioein), meaning "to deem worthy", but also "to require", which in turn comes from ἄξιος (áxios), meaning "being in balance", and

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    Historical development

    Early Greeks
    The logico-deductive method whereby conclusions (new knowledge) follow from premises (old knowledge) through the application of sound arguments (syllogisms, rules of inference) was developed by the ancient

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    Mathematical logic

    In the field of mathematical logic, a clear distinction is made between two notions of axioms: logical and non-logical (somewhat similar to the ancient distinction between

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    See also

    • Axiomatic system
    • Dogma
    • First principle, axiom in science and philosophy
    • List of axioms
    • Model theory

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    Further reading

    • Mendelson, Elliot (1987). Introduction to mathematical logic. Belmont, California: Wadsworth & Brooks. ISBN 0-534-06624-0
    • John Cook Wilson

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    External links

    • Axiom at PhilPapers
    • Axiom at PlanetMath.
    • Metamath axioms page

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  2. Axiom (band) - Wikipedia

    https://en.wikipedia.org/wiki/Axiom_(band)

    Axiom were an Australian rock band formed in Melbourne, Victoria, in 1969 and included musicians, former Twilights frontman Glenn Shorrock and Brian Cadd of the Groop.

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  3. Axiom – Wikipedia

    https://de.wikipedia.org/wiki/Axiom
    • Innerhalb einer formalisierbaren Theorie ist eine These ein Satz, der bewiesen werden soll. Ein Axiom dagegen ist ein Satz, der nicht in der Theorie bewiesen werden soll, sondern beweislos vorausgesetzt wird. Wenn die gewählten Axiome der Theorie logisch unabhängig sind, so kann keines von ihnen aus den anderen hergeleitet werden. Im Rahmen eines formalen Kalküls sind di…
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    • Axiom – Wikipedia

      https://sv.wikipedia.org/wiki/Axiom
      • Ordet "axiom" kommer från det grekiska ordet ἀξίωμα (axioma), ett verbalsubstantiv från verbet ἀξιόειν (axioein), vilket betyder att anse värdig, men också att behöva, kräva, som i sin tur kommer från ἄξιος, vilket betyder att "vara i balans", och därigenom "ha samma värde (som)", "värdig", "proper". Bland de antika grekiska filosoferna var ett axiom ett påstående som kunde ses som u…
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      • Axiom (rappeur) — Wikipédia

        https://fr.wikipedia.org/wiki/Axiom_(rappeur)
        Image
        Né à Lille , Axiom a grandi dans la cité Moulins-Belfort. C’est à l’âge de 13 ans qu’il fait ses premiers essais dans le rap. Très tôt, influencé par la Zulu Nation[10], il s’oriente vers un rap engagé et humaniste[11]. Il passe sur de petites scènes et fonde son premier groupe appelé Rebel Intellect[12] (rap hardcore, avec notamme…
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        Where did axiom come from?
        Unsourced material may be challenged and removed. Axiom were an Australian rock band formed in Melbourne, Victoria, in 1969 and included musicians, former Twilights frontman Glenn Shorrock and Brian Cadd of the Groop .

        Axiom (band) - Wikipedia

        en.wikipedia.org/wiki/Axiom_(band)
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        What is an axiom or postulate?
        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 - Wikipedia

        en.wikipedia.org/wiki/Axiom
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        How to axiomatize a system of knowledge?
        To axiomatize a system of knowledge is to show that its claims can be derived from a small, well-understood set of sentences (the axioms), and there may be multiple ways to axiomatize a given mathematical domain. Any axiom is a statement that serves as a starting point from which other statements are logically derived.

        Axiom - Wikipedia

        en.wikipedia.org/wiki/Axiom
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        What are axioms in math?
        As used in mathematics, the term axiom is used in two related but distinguishable senses: "logical axioms" and "non-logical axioms".

        Axiom - Wikipedia

        en.wikipedia.org/wiki/Axiom
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      • Axiom — Wikipédia

        https://fr.wikipedia.org/wiki/Axiom

        Axiom, album et court métrage d'Archive sortis en 2014. Axiom, groupe de rock australien. Axiom, pseudonyme du rappeur français Hicham Kochman. Axiom est un logiciel libre de calcul formel. Axiom est le nom du vaisseau dans le film d'animation WALL-E

      • Axiom – Wikipedia

        https://fi.wikipedia.org/wiki/Axiom
        Image
        Axiom aloitti varsinaisesti rap-musiikin tekemisen 13-vuotiaana saatuaan myöhemmin vaikutteita Zulu Nationista. Hän esiintyi aluksi 1990-luvun puolenvälin jälkeen pienillä lavoilla ja perusti samalla ensimmäisen yhtyeensä Rebel Intellect, jonka nimi muutettiin myöhemmin Mental Kombatiksi, kun osa yhtyeen jäsenistä …
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        • Laulukielet: ranska
        • Ammatti: rap-artisti

      • Axiom - Wikipedia

        https://it.wikipedia.org/wiki/Axiom

        Axiom è un C omputer A lgebra S ystem ( CAS) in grado di eseguire calcoli numerici, simbolici, grafici e altre operazioni correlate. Usato per ricerca e sviluppo di algoritmi matematici fortemente tipizzati; quadrati, campi, polinomi anche listati, alberi, tabelle sono create in automatico.

      • Axiom – Wikipedie

        https://cs.wikipedia.org/wiki/Axiom
        • Matematické teorie lze založit na soustavách axiomů (od nichž požadujeme, aby byly vnitřně bezesporné a nezávislé, tzn. aby daná skupina axiomů neobsahovala dva vzájemně si protiřečící axiomy a současně aby nebylo možné odvodit některý z axiomů z ostatních). Tuto metodu vytváření matematických teorií označujeme jako axiomatickou a takto vytvořenou teorii za teorii …
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        • Axiom - Wikipedia

          https://nl.wikipedia.org/wiki/Axiom

          Axiom (platenlabel) Axiom Space. Bekijk alle artikelen waarvan de titel begint met Axiom of met Axiom in de titel . Dit is een doorverwijspagina, bedoeld om de verschillen in betekenis of gebruik van Axiom inzichtelijk te maken. Op deze pagina staat een uitleg van de verschillende betekenissen van Axiom en verwijzingen daarnaartoe.

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