
Exploring Curvature
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. . . one should not be too ready to erect a wall of separation between nature and the human mind. d''Alembert [Dugas (1955)] It is possible to present mathematics in a purely fonnal way, that is to say, without any reference to the physical world. Indeed, in the more advanced parts of abstract algebra and mathematical logic, one can pro ceed only in this manner. In other parts of mathematics, es...
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. . . one should not be too ready to erect a wall of separation between nature and the human mind. d''Alembert [Dugas (1955)] It is possible to present mathematics in a purely fonnal way, that is to say, without any reference to the physical world. Indeed, in the more advanced parts of abstract algebra and mathematical logic, one can pro ceed only in this manner. In other parts of mathematics, es...
Read more
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