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Very very large numbers

What Are Very Large Numbers? Large numbers exist on a spectrum so extreme that human intuition breaks down. From the observable universe containing roughly 10^80 atoms, to numbers so impossibly vast that they dwarf the atoms themselves, these magnitudes challenge our ability to comprehend scale. But they’re not just abstract curiosities. Large numbers appear in computer science (combinatorics, compression), physics (entropy, quantum possibilities), and mathematics (set theory, ordinal numbers). Understanding them requires leaving behind our everyday sense of “big” and embracing the mathematical structures that define these hierarchies. ...

April 21, 2024 · 4 min · James M
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Favourite Physicists

Max Tegmark Cosmologist and physicist known for his work on the mathematical universe hypothesis and multiverse theory. His research bridges the gap between quantum mechanics and cosmology, exploring the deepest questions about the nature of reality. The Case for Halting AI Development Max Tegmark joins Lex Fridman to discuss the urgent need to pause advanced AI development, exploring the existential risks of artificial intelligence and what safeguards humanity needs as we approach transformative technologies. ...

May 11, 2023 · 2 min · James M