Infinity: An Essay in MetaphysicsClarendon Press, 1964 - 289 pagina's |
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Pagina 99
... hypothesis ( or its denial ) need be forthcoming anywhere in ( or even out ) of the system . The continuum hypothesis asserts the non - existence of any sub - set of the real numbers which is both ( 1 ) non - denumerable and ( 2 ) ...
... hypothesis ( or its denial ) need be forthcoming anywhere in ( or even out ) of the system . The continuum hypothesis asserts the non - existence of any sub - set of the real numbers which is both ( 1 ) non - denumerable and ( 2 ) ...
Pagina 131
... hypothesis that the world is infinite must be intelligible seeing that it is logically entailed by the ' empirical ' hypothesis that this wall before me is infinite , which itself is falsifiable . This second argument must not be ...
... hypothesis that the world is infinite must be intelligible seeing that it is logically entailed by the ' empirical ' hypothesis that this wall before me is infinite , which itself is falsifiable . This second argument must not be ...
Pagina 155
... hypothesis of Einstein . We can now understand what is meant by the further hypothesis that ours is an expanding universe . If we launch a second rocket - ship tomorrow , it is urged that the finite distance which it must needs travels ...
... hypothesis of Einstein . We can now understand what is meant by the further hypothesis that ours is an expanding universe . If we launch a second rocket - ship tomorrow , it is urged that the finite distance which it must needs travels ...
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