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Mar 28, 2021 at 20:02 comment added Michael Hardy $\ldots\,$cease to neglect to be more precise about this.
Mar 28, 2021 at 20:02 comment added Michael Hardy "When a mathematician learns a mature definition for a subtle concept, there is a feeling as if something is clicking into place that can be very satisfying." $${}$$ When the naive say that definitions are arbitrary, what they are actually observing is that the codified rules of deductive logic do not forbid any definition unless it's circular or ambiguous, etc. But where are the codified rules of something other than deductive logic that tell us what good definitions are? A satisfying feeling that something is clicking into place won't serve. But maybe mathematicians should$\,\ldots\qquad$
S Oct 28, 2019 at 23:28 history answered Daniel Asimov CC BY-SA 4.0
S Oct 28, 2019 at 23:28 history made wiki Post Made Community Wiki by Daniel Asimov