Lecture 01
Probability & Uncertainty
From Pascal’s Wager to Softmax — 1654 → 2024
How the mathematics of chance became the language of AI confidence
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Linear Algebra & Transformations
From Ancient Systems to Attention — 2000 BCE → 2023
How organizing numbers in grids led to machines that understand language
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Calculus & Optimization
From Tangent Lines to Training Runs — 1629 → 2024
How the mathematics of change teaches machines to learn
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Logic & Computation
From Syllogisms to Language Models — 350 BCE → 2024
How the quest to mechanize thought created thinking machines
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Geometry of High Dimensions
From Euclid to Latent Spaces — 300 BCE → 2024
How our intuitions about shape extend to the geometry of meaning
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Number Theory & Encoding
From Prime Numbers to Tokens — 300 BCE → 2024
How the purest mathematics became the foundation of how AI reads
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Statistics & Learning Theory
From Least Squares to Scaling Laws — 1805 → 2024
How measuring uncertainty taught machines to generalize
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Graph Theory & Networks
From Bridges to Transformers — 1736 → 2024
How the mathematics of connections shaped the architecture of AI
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Harmonic Analysis & Signals
From Vibrating Strings to Position Encoding — 550 BCE → 2024
How decomposing waves taught AI to understand sequence
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Game Theory & Alignment
From War Games to AI Safety — 1928 → 2024
How strategic mathematics guides the values of artificial minds
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