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I'd say that an important part of mathematics aims at understanding structures and relations between entities in order to avoid inefficient computations. Maybe
by hnjst 5y ago
I'd say that an important part of mathematics aims at understanding structures and relations between entities in order to avoid inefficient computations. Maybe a trivial example would be multiplication algorithms that allow to bypass costly iterated sums while preserving confidence in the result.
Complexity (and entropy) have surely a crucial importance and can't be totally avoided but I think that mathematics precisely work at minimizing their impact.