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#130 - 0xcacti: Set Theory, Incompleteness Theorem, Options MEV, Convex Optimisaiton
Dec 31, 2024
The discussion dives deep into Gödel's Incompleteness Theorem and the complexities of set theory, weaving in personal stories of a shift from academia to crypto. It covers the fascinating intersection of mathematics and cryptocurrency trading, focusing on Miner Extractable Value (MEV) and arbitrage strategies. The conversation reflects on the competitive landscape of blockchain challenges and the nostalgia for early decentralized finance tactics. Additionally, the role of creativity in mathematics and its crucial foundational aspects are emphasized, offering an engaging blend of intellect and humor.
01:15:50
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Quick takeaways
- Mastering mathematical proofs and foundational logic can significantly enhance students' understanding of calculus and applied mathematics.
- The integration of advanced mathematics with cryptography is crucial in the blockchain technology sphere, driving demand for mathematically skilled programmers.
Deep dives
The Challenge of Mathematical Proofs
The discussion highlights the significance of mathematical proofs in various fields, emphasizing their fundamental role in understanding concepts such as limits and derivatives. It points out that many students struggle with calculus because they often skip rigorous proof-writing training. The idea is proposed that mastering proofs and foundational logic early on would notably improve comprehension in applied mathematics. Additionally, it suggests starting with analysis can instill a deeper intuition for the mechanics behind mathematical functions.
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