Axioms of Infinity as the Starting Point for Rigorous Mathematics.

A more than sufficient starting point for the development of all currently accepted rigorous mathematics is provided by a pair of assumptions about how many individuals there are: the relative assertion that there are as many of them as there are small classes of them, and the absolute assertion tha...

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Publicado en:Annals of the Japan Association for the Philosophy of Science Vol. 20; no. 1; pp. 17 - 29
Autor principal: Burgess, John P.
Formato: Artículo
Publicado: Sasaki Printing & Publishing Co., Ltd. 2012
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        au: Burgess, John P.
        affil: Department of Philosophy, Princeton University, Princeton, NJ 08544-1006, USA
      su:
        Axioms
        Infinity (Mathematics)
        Mathematics
        Assertions (Logic)
        Heuristic
        Euclidean algorithm
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          Axioms
          Infinity (Mathematics)
          Mathematics
          Assertions (Logic)
          Heuristic
          Euclidean algorithm
      ab: A more than sufficient starting point for the development of all currently accepted rigorous mathematics is provided by a pair of assumptions about how many individuals there are: the relative assertion that there are as many of them as there are small classes of them, and the absolute assertion that there are indescribably many of them. But explaining what the foregoing assertion means is more work than establishing that it is true.
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