Infinity: An Essay in MetaphysicsClarendon Press, 1964 - 289 pagina's |
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Pagina 55
... infinite which presides over the other two . I am led to the conclusion that a pure mathematics of convergent series , so pure as to abstract from the very distinction between the potential and the actual infinite , is an impossibility ...
... infinite which presides over the other two . I am led to the conclusion that a pure mathematics of convergent series , so pure as to abstract from the very distinction between the potential and the actual infinite , is an impossibility ...
Pagina 129
... infinite or to a potential infinite ? In mathematics , certainly , the question is left entirely open . If Brouwer wishes to argue that the tautology is meaningless in the absence of any specification as to which of the two , the actual ...
... infinite or to a potential infinite ? In mathematics , certainly , the question is left entirely open . If Brouwer wishes to argue that the tautology is meaningless in the absence of any specification as to which of the two , the actual ...
Pagina 229
... potentially infinite in a highly exalted super - sense of the potential infinite . Descending from these elevated regions , the finitist is right when he insists that our standard concept of the infinite is modelled upon the series of ...
... potentially infinite in a highly exalted super - sense of the potential infinite . Descending from these elevated regions , the finitist is right when he insists that our standard concept of the infinite is modelled upon the series of ...
Inhoudsopgave
INFINITY | 1 |
HYPERMATHEMATICS | 72 |
COSMOLOGY I | 102 |
Copyright | |
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absolutely actual infinite actual infinitesimal aleph-null argument Aristotle Brouwer Cantor certainly code number concept of number convergent series cosmological count countable decimal expansion denumerable discourse divergent series earth empirical entails equal exist fact falsifiable finite proof finitist follows formula geometry Grandi's series Hence Hyperboreans hypothesis inch infinite distance infinite number infinite sequence infinite series infinitesimal infinitum infinity insist integers intelligible interval Kant Leibniz logical Löwenheim-Skolem theorem mathe mathematician mathematics matics mean merely metaphysical minim minute natural numbers non-denumerable number of stars object ontological open end order-type paradox Peano postulates philosophy physics pluriverse possible potential infinite precisely predicates prime twin principle priori proof number proto-concept prove punct question random numbers rational real numbers rule seen sense serrated continuum Space spatial speaking standard concept straight line sum-total suppose Swahilis theorem thesis things transfinite tropological uncountable vulgar concept whole Wittgenstein word Z-series Zeno procedure