Infinity: An Essay in MetaphysicsClarendon Press, 1964 - 289 pagina's |
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Pagina 31
... number of stars in the heavens . If it is un- intelligible and meaningless to speak of an infinite number of stars , then it follows that we know a priori that a spaceship which is launched to explore the heavens must be at some precise ...
... number of stars in the heavens . If it is un- intelligible and meaningless to speak of an infinite number of stars , then it follows that we know a priori that a spaceship which is launched to explore the heavens must be at some precise ...
Pagina 111
... number of stars ; or that a star keeps on moving uniformly in a straight line , without ever stopping . Queer : when one takes something of this sort as a matter of course , as it were in one's stride , it loses its whole paradoxical ...
... number of stars ; or that a star keeps on moving uniformly in a straight line , without ever stopping . Queer : when one takes something of this sort as a matter of course , as it were in one's stride , it loses its whole paradoxical ...
Pagina 229
... stars in the heavens - provided that for any n , n being a natural number , there exist at least n stars in the heavens . It is not difficult to negotiate the passage from our standard concept of the potential infinite to our standard ...
... stars in the heavens - provided that for any n , n being a natural number , there exist at least n stars in the heavens . It is not difficult to negotiate the passage from our standard concept of the potential infinite to our standard ...
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