

Is Mathematics Invented or Discovered? | Carl Bender | Escaped Sapiens #67
May 17, 2024
Carl Bender, an applied mathematician and physicist, discusses complex numbers, PT-symmetric quantum systems, and the link between mathematics and reality. He explores the history and practical applications of numbers, the evolution of quantum mechanics, PT symmetry, Lorentz transformations, and collaborative research with Feynman. The conversation also touches on beauty in mathematics, decision-making strategies, dating dilemmas, and partnerships in mathematics and physics.
Chapters
Transcript
Episode notes
1 2 3 4 5 6 7 8 9 10 11
Introduction
00:00 • 4min
Challenging Current Physics Theories
04:08 • 7min
The Evolution of Numbers: From Real to Imaginary and Complex
11:09 • 21min
Exploring Electron Dynamics in Quantum Mechanics
31:46 • 16min
Exploring PT Symmetry and Lorentz Transformations in Physics
47:57 • 18min
PT Symmetric Systems and the Putnam Exam
01:05:38 • 28min
Exploring Collaborative Physics Research with Feynman
01:33:50 • 9min
Exploring Beauty in Mathematical Problem-Solving
01:42:57 • 10min
Optimizing Choices in a Game of Numbers
01:52:28 • 14min
Navigating Dating and Settling Down: Finding the Next Best Person
02:06:11 • 2min
Exploring Partnerships in Mathematics and Physics
02:07:53 • 15min