Infinity: An Essay in MetaphysicsClarendon Press, 1964 - 289 pagina's |
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Pagina 191
... countable . Do you agree ? ' The high priest addressed his question to our hero . ' Yes , they must be countable , ' answered our hero with mock humility . Our fathers , ' continued the priest , ' have bequeathed to us the con- viction ...
... countable . Do you agree ? ' The high priest addressed his question to our hero . ' Yes , they must be countable , ' answered our hero with mock humility . Our fathers , ' continued the priest , ' have bequeathed to us the con- viction ...
Pagina 204
... countable ( ' countable ' being understood in the vulgar sense ) : they remain uncountable in the sense that no one , not even Archimedes , presumes himself able to count them . Instead of showing us that they are countable , he shows ...
... countable ( ' countable ' being understood in the vulgar sense ) : they remain uncountable in the sense that no one , not even Archimedes , presumes himself able to count them . Instead of showing us that they are countable , he shows ...
Pagina 207
... countable or countable in principle than the other entitles us to insist that the Great Rapids are really navigable or navigable in principle . What is peculiar to the concept of the countable ( and which sets it off from the navigable ) ...
... countable or countable in principle than the other entitles us to insist that the Great Rapids are really navigable or navigable in principle . What is peculiar to the concept of the countable ( and which sets it off from the navigable ) ...
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