Intro to the Philosophy of Mathematics (Ray Monk)
A good introduction to the philosophy of mathematics by Ray Monk. He considers the issue of the nature of mathematical truth - what mathematics is actually about - and discusses the views of Plato, Aristotle, Kant, Frege and Russell. What is mathematics about? Is mathematics something discovered or is it something invented or constructed by us? If numbers and mathematical objects are mere mental constructs, something invented by us, then why does mathematics work so well and seem to describe the world? On the other hand, if mathematical entities are "out there" in some sense waiting to be…
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