Infinity: An Essay in MetaphysicsClarendon Press, 1964 - 289 pagina's |
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Pagina 132
... number , the decimal expansion of any irrational number may be said to be altogether random in character : the one always exhibits a simple recurrent pattern ( a regularity of sequence , in Hume's sense ) , the other does not . Irrational ...
... number , the decimal expansion of any irrational number may be said to be altogether random in character : the one always exhibits a simple recurrent pattern ( a regularity of sequence , in Hume's sense ) , the other does not . Irrational ...
Pagina 135
... random numbers will constitute an a priori proof of the principle of causality . Prima facie it may seem wildly implausible to suppose that there are no random numbers . There being no immediately evident necessity ensuring the ...
... random numbers will constitute an a priori proof of the principle of causality . Prima facie it may seem wildly implausible to suppose that there are no random numbers . There being no immediately evident necessity ensuring the ...
Pagina 137
... numbers . A formula can always be written outside the system that is not to be found within it . Quite apart from Gödel , then , any such system is ... random number . The hypothesis that there exist random numbers is COSMOLOGY I 137.
... numbers . A formula can always be written outside the system that is not to be found within it . Quite apart from Gödel , then , any such system is ... random number . The hypothesis that there exist random numbers is COSMOLOGY I 137.
Inhoudsopgave
INFINITY | 1 |
HYPERMATHEMATICS | 72 |
COSMOLOGY I | 102 |
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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