- #1
ktoz
- 171
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This question probably falls more in the philosophical arena than the practical, but I didn't see any available "math philosophy" forums, so here goes.
I've always found it curious why, out of all the possible ways to partition a number, is standard division a/b considered "natural." That is, why is it intrinsically more significant to partion a value into a set of equal sized parts, rather than any of the other possible partitions?
Without this "equal size" constraint, prime numbers loose their magical significance, fractions become a small subset of the total set of possibilities etc...
Just wondering what are the arguments for basing pretty much all mathematics on this one seemingly arbitrary choice.
I've always found it curious why, out of all the possible ways to partition a number, is standard division a/b considered "natural." That is, why is it intrinsically more significant to partion a value into a set of equal sized parts, rather than any of the other possible partitions?
Without this "equal size" constraint, prime numbers loose their magical significance, fractions become a small subset of the total set of possibilities etc...
Just wondering what are the arguments for basing pretty much all mathematics on this one seemingly arbitrary choice.
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