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СпутникиРНSpaceXРоскосмосNASA"Mathematics does not come to us from physical reality."
Is there really anything that could not come from physical reality?
I would say (imo) no. But, geometry is definitely an approximation or idealization of what we see in nature. Developing the logical consequences of these idealizations is what mathematics is.Frenkel says (4:32):"Mathematics does not come to us from physical reality."
Is there really anything that could not come from physical reality?
https://physics.umd.edu/~yakovenk/teaching/Lorentz.pdf
Thanks
Bill
We see your feel in usage of "lol", but Mathematics gives us great, great predictive power.MMath is cool but it dont " matter" lol
He was, in a sense, proud that what he did had no application, but even he was wrong - there is the so called Hardy Weinberg Law. This is a very strange thing about math captured in Wigner's famous essay, which, if you have not read it:
https://webhomes.maths.ed.ac.uk/~v1ranick/papers/wigner.pdf
Thanks
Bill
I remember Feynman's story of the physicist who asks his mathematician friend about some math for 3D problems. The mathematician says I have just the math you're looking for, and says it can handle any dimension, but the physicist says, "No, no, I only want the 3D version."
Some time later, the physicist realizes that a 4D model would solve the problem if only he had the right math, and he goes back to the mathematician to ask about the multidimensional math he had previously sheepishly rejected.
You might like to read Hardy's - A Mathematician's Apology.He was, in a sense, proud that what he did had no application, but even he was wrong - there is the so called Hardy Weinberg Law.
I realized that Hardy and others of the time were appalled by war and its use of the latest scientific and mathematical discoveries that killed, maimed, or psychologically damaged so many promising young men and women and generations of families.
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