Infinity: An Essay in MetaphysicsClarendon Press, 1964 - 289 pagina's |
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Pagina 21
... series contains only a finite number of sides . There is thus a serious conceptual gap separating the circle , as ... divergent numerical series , we find ourselves shaken by further difficulties . It is perhaps not too much of an ...
... series contains only a finite number of sides . There is thus a serious conceptual gap separating the circle , as ... divergent numerical series , we find ourselves shaken by further difficulties . It is perhaps not too much of an ...
Pagina 67
... series without an end can ever come to an end . Our answer to the fourth formulation of the paradox is perhaps not ... divergent series . It would be unreasonable to expect the distinction between convergence and divergence to have ...
... series without an end can ever come to an end . Our answer to the fourth formulation of the paradox is perhaps not ... divergent series . It would be unreasonable to expect the distinction between convergence and divergence to have ...
Pagina 236
... divergent series . For the divergent series are in themselves innocuous : in themselves they are to be understood in terms of the potential infinite . It is only when they are grafted on to the Z - series ( itself being enacted in the ...
... divergent series . For the divergent series are in themselves innocuous : in themselves they are to be understood in terms of the potential infinite . It is only when they are grafted on to the Z - series ( itself being enacted in 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