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Mathematical Platonism | Wikipedia audio article

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This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Philosophy_of_mathematics


00:00:30 1 Recurrent themes
00:01:49 2 History
00:05:16 2.1 Contemporary philosophy
00:10:10 3 Major themes
00:10:20 3.1 Mathematical realism
00:12:08 3.2 Mathematical anti-realism
00:12:39 4 Contemporary schools of thought
00:12:50 4.1 Platonism
00:16:29 4.2 Mathematicism
00:17:15 4.3 Logicism
00:20:51 4.4 Formalism
00:26:32 4.5 Conventionalism
00:27:13 4.6 Intuitionism
00:29:17 4.6.1 Constructivism
00:30:19 4.6.2 Finitism
00:31:54 4.7 Structuralism
00:35:05 4.8 Embodied mind theories
00:37:03 4.8.1 Aristotelian realism
00:39:09 4.8.2 Psychologism
00:40:41 4.8.3 Empiricism
00:45:43 4.9 Fictionalism
00:48:42 4.10 Social constructivism
00:55:00 4.11 Beyond the traditional schools
00:55:10 4.11.1 Unreasonable effectiveness
00:56:02 4.11.2 Popper's two senses
00:56:24 4.11.3 Philosophy of language
00:56:51 5 Arguments
00:59:02 5.1 Indispensability argument for realism
00:59:12 5.2 Epistemic argument against realism
01:01:08 6 Aesthetics
01:03:49 7 Journals
01:06:47 8 See also
01:07:05 8.1 Related works
01:07:15 8.2 Historical topics
01:07:24 9 Notes
01:07:43 10 Further reading
01:07:53 11 External links
01:21:05 External links



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"I cannot teach anybody anything, I can only make them think."
- Socrates


SUMMARY
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The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics, and purports to provide a viewpoint of the nature and methodology of mathematics, and to understand the place of mathematics in people's lives. The logical and structural nature of mathematics itself makes this study both broad and unique among its philosophical counterparts.

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