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Chapter

The Limitations of Equations in Modeling the World
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17:02 - 22:19 (05:17)

The study of partial differential equations tries to capture the complexity of the physical world but falls short due to the impossibility of explicitly modeling reality, especially at the atomic and cosmic scales.

Clips
The study of partial differential equations (PDEs) and the underlying simple rules that govern reality were discussed.
17:02 - 18:56 (01:53)
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PDEs
Summary

The study of partial differential equations (PDEs) and the underlying simple rules that govern reality were discussed. The idea that there are complex structures underneath our reality just from simple rules was explored, inspired by Stephen Wolfram's beliefs.

Chapter
The Limitations of Equations in Modeling the World
Episode
Grant Sanderson: 3Blue1Brown and the Beauty of Mathematics
Podcast
Lex Fridman Podcast
The universe is not entirely compressible into equations, but we can only perceive the parts that can be compressed due to how our brains have evolved.
18:56 - 22:19 (03:23)
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Universe
Summary

The universe is not entirely compressible into equations, but we can only perceive the parts that can be compressed due to how our brains have evolved.

Chapter
The Limitations of Equations in Modeling the World
Episode
Grant Sanderson: 3Blue1Brown and the Beauty of Mathematics
Podcast
Lex Fridman Podcast