Rebecca Goldstein’s first lecture in a series of four addresses Gödel’s Incompleteness Theorems. The philosophical implications of mathematics and its beautiful relationship with philosophy are discussed. Professor Goldstein examines epistemological questions, the blurred borders between maths and philosophy, the significance of the very private friendship between Gödel and Einstein, and the somewhat confusing nature of paradoxes in this truly illuminating lecture. The debate between formalism and realism
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