Infinity: An Essay in MetaphysicsClarendon Press, 1964 - 289 pagina's |
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Pagina 5
... infinite number of units [ i.e. intervals ] either of time or of distance we must reply that in a sense it is and in a sense it is not . ' Here , again , we have the famous distinguo : in one sense , yes , in another sense , no . What ...
... infinite number of units [ i.e. intervals ] either of time or of distance we must reply that in a sense it is and in a sense it is not . ' Here , again , we have the famous distinguo : in one sense , yes , in another sense , no . What ...
Pagina 48
... numbers as not only equal in number to the integers but also as either greater or less than the integers , we must conclude that none of these con- cepts , = or > or < , is applicable to infinite collections . We must content ourselves ...
... numbers as not only equal in number to the integers but also as either greater or less than the integers , we must conclude that none of these con- cepts , = or > or < , is applicable to infinite collections . We must content ourselves ...
Pagina 49
... infinite number of elements in both collections , but it is not literally and unequivocally true that they can be com- pared with one another in respect of = , > and < . If they are to be compared at all , they can only be compared ...
... infinite number of elements in both collections , but it is not literally and unequivocally true that they can be com- pared with one another in respect of = , > and < . If they are to be compared at all , they can only be compared ...
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