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Philosophy of mathematics

Aesthetics
Many practicing mathematicians have been drawn to their subject because of a sense of beauty they perceive in it. One sometimes hears the sentiment that mathematicians would like to leave philosophy t ...
2014-3-24 21:08
Arguments
Indispensability argument for realism This argument, associated with Willard Quine and Hilary Putnam, is considered by Stephen Yablo to be one of the most challenging arguments in favor of the accepta ...
2014-3-24 21:07
Major themes
Mathematical realism, like realism in general, holds that mathematical entities exist independently of the human mind. Thus humans do not invent mathematics, but rather discover it, and any other inte ...
2014-3-24 21:06
History
The origin of mathematics is subject to argument. Whether the birth of mathematics was a random happening or induced by necessity duly contingent of other subjects, say for example physics, is still a ...
2014-3-24 21:05
Recurrent themes
Recurrent themes include:What are the sources of mathematical subject matter?What is the ontological status of mathematical entities?What does it mean to refer to a mathematical object?What is the cha ...
2014-3-24 21:05
Philosophy of mathematics
The philosophy of mathematics is the branch of philosophy that studies the philosophical assumptions, foundations, and implications of mathematics. The aim of the philosophy of mathematics is to provi ...
2014-3-24 21:05

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