Chapter

The General Theory of Symmetry and the Work of John Horton Conway
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2:09:03 - 2:13:06 (04:03)

This podcast episode explores the beginnings of group theory and the general theory of symmetry in mathematics, as well as the work and legacy of mathematician John Horton Conway, who is famous for his contributions to automata theory and the invention of the Game of Life.

Clips
Discovering interesting complexity in rule sets used in complexity science depends on tuning the rules right as a typical rule set may not generate any fascinating behavior.
2:09:03 - 2:10:08 (01:05)
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Complexity Science
Summary

Discovering interesting complexity in rule sets used in complexity science depends on tuning the rules right as a typical rule set may not generate any fascinating behavior. Steven Wolfram explored Darwin-like exploration with simple ideas which helped him create a thousand-page book despite being regarded as an outcast in the math and physics community.

Chapter
The General Theory of Symmetry and the Work of John Horton Conway
Episode
#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
Podcast
Lex Fridman Podcast
The theory of symmetry or Group Theory started as a way to understand the different types of symmetries found in various things.
2:10:08 - 2:13:06 (02:57)
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Group Theory
Summary

The theory of symmetry or Group Theory started as a way to understand the different types of symmetries found in various things. Mathematician John Conway made significant contributions to this field and created various games and serial numbers.

Chapter
The General Theory of Symmetry and the Work of John Horton Conway
Episode
#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
Podcast
Lex Fridman Podcast