Infinity: An Essay in MetaphysicsClarendon Press, 1964 - 289 pagina's |
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Pagina 15
... Philosophy begins with natural philosophy , specifically with materialism . ' Of the first philosophers , then , most thought the principles which were of the nature of matter were the only principles of all things'.2 This early pre ...
... Philosophy begins with natural philosophy , specifically with materialism . ' Of the first philosophers , then , most thought the principles which were of the nature of matter were the only principles of all things'.2 This early pre ...
Pagina 17
... philosophy be the effort to subject the world to a λόγος , then philosophy must divide its attention between world and λόγος . Looking first to the world , as it must , philosophy is predisposed in favour of the actual infinite . Philosophy ...
... philosophy be the effort to subject the world to a λόγος , then philosophy must divide its attention between world and λόγος . Looking first to the world , as it must , philosophy is predisposed in favour of the actual infinite . Philosophy ...
Pagina 18
... philosophy and ontology in general , but in our own day finitism is very much in the ascendancy , again in the name of rigour . In regard to modern philosophy , Hobbes's rejection of the actual infinite is prophetic of what is to follow ...
... philosophy and ontology in general , but in our own day finitism is very much in the ascendancy , again in the name of rigour . In regard to modern philosophy , Hobbes's rejection of the actual infinite is prophetic of what is to follow ...
Inhoudsopgave
INFINITY | 1 |
HYPERMATHEMATICS | 72 |
COSMOLOGY I | 102 |
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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