Infinity: An Essay in MetaphysicsClarendon Press, 1964 - 289 pagina's |
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Pagina 92
... rational numbers , ' most ' of the rational numbers will nonetheless remain unrecorded . Yet it is quite possible to record all the rational numbers . We have only to assign to each rational number a unique natural number as its index ...
... rational numbers , ' most ' of the rational numbers will nonetheless remain unrecorded . Yet it is quite possible to record all the rational numbers . We have only to assign to each rational number a unique natural number as its index ...
Pagina 134
... rational being who will insist that the billion- and - first digit must be o ! According to the finite rule which he has been following with a success equal to ours , the sun will not rise tomorrow . It may be noted that his rule need ...
... rational being who will insist that the billion- and - first digit must be o ! According to the finite rule which he has been following with a success equal to ours , the sun will not rise tomorrow . It may be noted that his rule need ...
Pagina 188
... rational quantities and the series of in- finitesimal quantities . It makes no sense to speak of a point in time which separates the rational series from the infinitesimal series . For if there were such a point , we might break off our ...
... rational quantities and the series of in- finitesimal quantities . It makes no sense to speak of a point in time which separates the rational series from the infinitesimal series . For if there were such a point , we might break off our ...
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