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Mathematical intuitionism | Wikipedia audio article
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This is an audio version of the Wikipedia Article:
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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Speaking Rate: 0.9741454872453645
Voice name: en-AU-Wavenet-C
"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.
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
Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago.
Learning by listening is a great way to:
- increases imagination and understanding
- improves your listening skills
- improves your own spoken accent
- learn while on the move
- reduce eye strain
Now learn the vast amount of general knowledge available on Wikipedia through audio (audio article). You could even learn subconsciously by playing the audio while you are sleeping! If you are planning to listen a lot, you could try using a bone conduction headphone, or a standard speaker instead of an earphone.
Listen on Google Assistant through Extra Audio:
Other Wikipedia audio articles at:
Upload your own Wikipedia articles through:
Speaking Rate: 0.9741454872453645
Voice name: en-AU-Wavenet-C
"I cannot teach anybody anything, I can only make them think."
- Socrates
SUMMARY
=======
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.