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.