Titlebook: An Aristotelian Realist Philosophy of Mathematics; Mathematics as the S James Franklin Book 2014 Palgrave Macmillan, a division of Macmilla

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Knowing Mathematics: Pattern Recognition and Perception of Quantity and Structure more problematic than the epistemology of colour. An Aristotelian point of view should solve the epistemology problem at the same time as it solves the problem of the applicability of mathematics, by showing that mathematics deals directly with properties of real things..

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Non-Deductive Logic in Mathematics the confirmation of theories by observations. Those methods should work in mathematics just as well as in science. Mathematics has extra and more certain methods of its own, but that should not prevent ordinary scientific methods from working.

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https://doi.org/10.1007/978-3-642-91079-1tence of infinite sets that are so huge that they simply dwarf garden variety infinite sets, like the set of all the natural numbers. There is just no plausible way to interpret this talk of gigantic infinite sets as being about physical objects.’. Or as Shapiro writes: