Infinity: An Essay in MetaphysicsClarendon Press, 1964 - 289 pagina's |
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Pagina 56
... mathe- matical spirit ' and his insistence that ' we must let no one drive us from the paradise that Cantor has created for us ' . Four schools of thought are to be found operative today in current researches into the foundations of ...
... mathe- matical spirit ' and his insistence that ' we must let no one drive us from the paradise that Cantor has created for us ' . Four schools of thought are to be found operative today in current researches into the foundations of ...
Pagina 114
... mathe- matics is an ontological science - prove to be mere banalities upon closer inspection . Growing sophisticated , we come to think of mathematics as a system of conventions : certain arbitrary definitions being laid down , certain ...
... mathe- matics is an ontological science - prove to be mere banalities upon closer inspection . Growing sophisticated , we come to think of mathematics as a system of conventions : certain arbitrary definitions being laid down , certain ...
Pagina 262
... mathe- matician must be preoccupied not only with his subject- matter but also with his method . It is the very fecundity of the infinite which compels the mathematician to insist on the highest standards of rigour if he is not to be ...
... mathe- matician must be preoccupied not only with his subject- matter but also with his method . It is the very fecundity of the infinite which compels the mathematician to insist on the highest standards of rigour if he is not to be ...
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