Mathematical intuitionism | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-01-28

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Intuitionism


00:00:35 1 Truth and proof
00:04:20 2 Intuitionism and infinity
00:07:18 3 History of intuitionism
00:09:33 4 Contributors to intuitionism
00:09:52 5 Branches of intuitionistic mathematics
00:10:15 6 See also



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"I cannot teach anybody anything, I can only make them think."
- Socrates


SUMMARY
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In the philosophy of mathematics, intuitionism, or neointuitionism (opposed to preintuitionism), is an approach where mathematics is considered to be purely the result of the constructive mental activity of humans rather than the discovery of fundamental principles claimed to exist in an objective reality. That is, logic and mathematics are not considered analytic activities wherein deep properties of objective reality are revealed and applied but are instead considered the application of internally consistent methods used to realize more complex mental constructs, regardless of their possible independent existence in an objective reality.