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I think you are missing the point. Solving a problem using mathematics is EQUIVALENT to solving a problem using computation (which is a silly truism, because y
by ukj 7y ago
I think you are missing the point.
Solving a problem using mathematics is EQUIVALENT to solving a problem using computation (which is a silly truism, because your mind is a computer).
They are two different mind-instruments, two frameworks for thinking and thinking about thinking. They are functionally identical
What you can do with one - you can do with the other.
Because Mathematics can only prove things up to an isomorphism. And Curry-Howard is an isomorphism.
Whether any particular solution can be automated is not my point at all.
My point is that when a human solves an abstract problem - they express the solution in language.
Some humans speak Mathematics. Some humans speak Python.
The divide between Mathematics and Computer science is cultural, not grounded in utility.
Hence why - I would love to see some unification.