The Geometry of Closed Packed Spheres

07. The Dialectic Process


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The text draws a parallel between the incommensurability of the square root of two and the distribution of prime numbers, arguing that neither can be fully understood or expressed using simple patterns. The author then references Plato's dialectic method, which utilizes a series of hypotheses to reach a higher understanding of knowledge. This method is seen as analogous to the process of reasoning about the distribution of primes, suggesting that it requires a multi-layered approach to fully comprehend its complexity.

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The Geometry of Closed Packed SpheresBy Nick Trif