Infinity: An Essay in MetaphysicsClarendon Press, 1964 - 289 pagina's |
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Pagina 86
... theorem might be altogether unverifiable except on the basis of an infinite proof ? And what of the four colour theorem ? Let us suppose that , in reading through all the books in our meta- physical library , we find that no volume ...
... theorem might be altogether unverifiable except on the basis of an infinite proof ? And what of the four colour theorem ? Let us suppose that , in reading through all the books in our meta- physical library , we find that no volume ...
Pagina 87
... theorem , to which no catalogue numbers have been assigned . In fact , it can be proved that it is theoretically impossible for a unique natural number to be assigned to each infinite book . This is not to say that each infinite book ...
... theorem , to which no catalogue numbers have been assigned . In fact , it can be proved that it is theoretically impossible for a unique natural number to be assigned to each infinite book . This is not to say that each infinite book ...
Pagina 98
... theorem contradicts any other finite theorem in the system , might there not be a contradiction between , on the one hand , a finite theorem and an infinite theorem and , on the other hand , one infinite theorem and another infinite ...
... theorem contradicts any other finite theorem in the system , might there not be a contradiction between , on the one hand , a finite theorem and an infinite theorem and , on the other hand , one infinite theorem and another infinite ...
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