Infinity: An Essay in MetaphysicsClarendon Press, 1964 - 289 pagina's |
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Pagina 45
... integers than even numbers . I have asked people devoid of all mathematical sophistication whether the class of integers is equal to , greater than , or less than the class of even numbers . Without exception , they answer that there ...
... integers than even numbers . I have asked people devoid of all mathematical sophistication whether the class of integers is equal to , greater than , or less than the class of even numbers . Without exception , they answer that there ...
Pagina 47
... integers , it is also the case that all of the integers can be placed in one - to- one correspondence with a proper sub - set of the class of even numbers . This third criterion - by itself alone - issues in the demoralizing consequence ...
... integers , it is also the case that all of the integers can be placed in one - to- one correspondence with a proper sub - set of the class of even numbers . This third criterion - by itself alone - issues in the demoralizing consequence ...
Pagina 48
... 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 with saying that the class of integers and ...
... 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 with saying that the class of integers and ...
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