Numbers, the Universe and Complexity Beyond Us - Data Structures Math Foundations 177

Explore the fascinating intersection of mathematics, philosophy, and cosmology in this thought-provoking video lecture. Delve into the challenges of representing extremely large numbers and examine various philosophical approaches to mathematics, including Platonism and Aristotelian realism. Investigate the physical limits of the universe, from its vast expanse to the smallest possible scales, and consider how these constraints impact our ability to express and store mathematical information. Gain insights into the concept of "invisible numbers" and ponder the implications for our understanding of mathematical complexity and the nature of reality itself.

How do we write down really big numbers?
Meta-mathematical considerations
Plato 424-347 Bc
Foundations of mathematics
How big is the universe?
How small can things get?
A Planck cube
Information stored in the universe
Number of different expressions