Titlebook: New Waves in Philosophy of Mathematics; Otávio Bueno,Øystein Linnebo Book 2009 Palgrave Macmillan, a division of Macmillan Publishers Limi

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Towards a Philosophy of Applied Mathematicsctices, priorities and developments that are prized by working mathematicians. Most actual mathematicians, unsurprisingly, have little interest in the questions that have dominated the philosophy of mathematics since the 1960s. Few mathematicians, for example, are likely to be troubled by Benacerraf

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The Individuation of the Natural Numbersis nicely illustrated by an example due to Quine (1950). Suppose you are standing on the bank of a river, watching the water that floats by. What is required for you to refer to the river, as opposed to a particular segment of it, or the totality of its water, or the current temporal part of this wa

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Quantification Without a Domainncommon to take the set-theoretic paradoxes to illustrate a phenomenon of indefinite extensibility whereby certain concepts, for example, . and ., are indefinitely extensible. What is less clear is how to articulate this response to paradox or what it means for the prospects of absolute generality.

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