Infinity: An Essay in MetaphysicsClarendon Press, 1964 - 289 pagina's |
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Pagina 96
... order - type w . Our discussion presupposes that restriction . Complications set in as soon as we lift that restriction and allow infinite proofs of any transfinite order - type whatever . 1 Correction : it has just been established by ...
... order - type w . Our discussion presupposes that restriction . Complications set in as soon as we lift that restriction and allow infinite proofs of any transfinite order - type whatever . 1 Correction : it has just been established by ...
Pagina 151
... sequence of 86 Spaces , then it is of order - type w + w + w + 86 . In general , the geometry of a pluriverse will be defined , in part at least , by its order - type . Now let us suppose that in 1/2 minute we explore one infinite sequence ...
... sequence of 86 Spaces , then it is of order - type w + w + w + 86 . In general , the geometry of a pluriverse will be defined , in part at least , by its order - type . Now let us suppose that in 1/2 minute we explore one infinite sequence ...
Pagina 152
... order - type less than w1 will be said to be Finite in the sense that it is quite capable of being exhausted . The distinction between Finite and Infinite in this new super - sense is equivalent to the distinction between the ...
... order - type less than w1 will be said to be Finite in the sense that it is quite capable of being exhausted . The distinction between Finite and Infinite in this new super - sense is equivalent to the distinction between the ...
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