Chapter

The History of Formal Systems and the Development of Intuition
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1:31:29 - 1:54:22 (22:52)

The development of formal systems in mathematics that allowed for the derivation of new truths from existing ones influenced the way humans think and reason abstractly. This process of acculturation in a particular mode of thought creates an intuitive understanding of the world, similar to how we understand languages.

Clips
Triangles play a crucial role in mathematics and science, enabling humans to make precise measurements and calculations for a wide range of applications such as launching space missions and building bridges.
1:31:29 - 1:36:13 (04:43)
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Triangles
Summary

Triangles play a crucial role in mathematics and science, enabling humans to make precise measurements and calculations for a wide range of applications such as launching space missions and building bridges.

Chapter
The History of Formal Systems and the Development of Intuition
Episode
#222 – Jay McClelland: Neural Networks and the Emergence of Cognition
Podcast
Lex Fridman Podcast
The development of formal systems began over 3,000 years ago and gradually established the whole idea of thinking formally, most notably in Euclid's elements.
1:36:13 - 1:49:17 (13:04)
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Mathematics
Summary

The development of formal systems began over 3,000 years ago and gradually established the whole idea of thinking formally, most notably in Euclid's elements. The ability to think in this abstract, formal way is a result of intuition grounded in experience and allows new truths to be derived from others.

Chapter
The History of Formal Systems and the Development of Intuition
Episode
#222 – Jay McClelland: Neural Networks and the Emergence of Cognition
Podcast
Lex Fridman Podcast
The engagement with experience of formally trained linguists has a systematic and conformant approach, different from the intuitive approach of an ordinary person that does not engage with formal systems in the same way, according to a study by Lila Gleitman.
1:49:17 - 1:54:22 (05:04)
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Formal Linguistics
Summary

The engagement with experience of formally trained linguists has a systematic and conformant approach, different from the intuitive approach of an ordinary person that does not engage with formal systems in the same way, according to a study by Lila Gleitman. While the intuitions of linguists regarding the meaning of a phrase were different from those of non-formally trained thinkers, the latter relied to a greater extent on their subjective experience of the world.

Chapter
The History of Formal Systems and the Development of Intuition
Episode
#222 – Jay McClelland: Neural Networks and the Emergence of Cognition
Podcast
Lex Fridman Podcast