Infinity: An Essay in MetaphysicsClarendon Press, 1964 - 289 pagina's |
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Pagina 142
... pluriverse . Prima facie self - evident , this assumption has not been challenged even by the non - Euclideans -philosophers , mathematicians , and physicists - who merely refuse to concede that space must necessarily satisfy the axioms ...
... pluriverse . Prima facie self - evident , this assumption has not been challenged even by the non - Euclideans -philosophers , mathematicians , and physicists - who merely refuse to concede that space must necessarily satisfy the axioms ...
Pagina 150
... pluriverse - in this case , of three Spaces - may be mooted . For it is quite possible that we may find ourselves in ... pluriverse and , indeed , in a pluriverse containing an infinite number of Spaces , is seen to be precisely ...
... pluriverse - in this case , of three Spaces - may be mooted . For it is quite possible that we may find ourselves in ... pluriverse and , indeed , in a pluriverse containing an infinite number of Spaces , is seen to be precisely ...
Pagina 151
... pluriverse containing denumerably many Spaces . But there is always the possibility that after exhausting an infinite sequence of Spaces we may find ourselves in a Space which is entirely new to us , and it is this possibility that ...
... pluriverse containing denumerably many Spaces . But there is always the possibility that after exhausting an infinite sequence of Spaces we may find ourselves in a Space which is entirely new to us , and it is this possibility that ...
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