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by jwgarber
2581 days ago
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> The success of Riemann’s project is strong evidence that the whole numbers – which we think of as static, unchanging quantities – are really some kind of shadow or projection of the Hegelian integers. The Zeta function reveals more because it represents whole numbers as what they actually are, that is dynamic contradictions of being and nothing. > But, in addition, the Zeta function represents the whole numbers as a sublated unity, where the entities internally relate via the exchange of a conserved substance. And this whole moves and changes with time. This is quite unlike the vision offered by set theory. The way modelling normally works is you have a certain phenomenon (falling rocks, fish populations, market booms-and-busts) that you attempt to describe numerically, and then create a mathematical model to make conclusions about the phenomenon. Here we have the opposite: the author takes the phenomenon (the Hegelian contradiction) and uses the model to make conclusions about mathematics! |
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