The hierarchy of mathematical rigor in a nutshell. Mathematics struts around like some cosmic overlord. Physicists reluctantly bow to mathematical reality while muttering about "reasonable assumptions." Meanwhile, engineers are in the corner cackling as they round π to 3 and declare "close enough for government work." The difference? Mathematicians prove it works, physicists explain why it works, and engineers just need it to not explode. Preferably.
Every Approximation Is A Valid Approximation
1 year ago
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