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This is well-written. I might suggest that what makes pure mathematics special is that abstractions in pure math are not leaky, unlike in (nearly?) every other
by glial 3y ago
This is well-written. I might suggest that what makes pure mathematics special is that abstractions in pure math are not leaky, unlike in (nearly?) every other domain.
- mturmon 3y agoDidn't downvote, don't entirely disagree, but maybe it would be OK to say that the leaks can be made more apparent: "The integral reverses the derivative" † ‡ * † Up to an arbitrary additive constant ‡ Provided the derivative exists * And we hope you don't have concerns about the existence of the real numbers
- glial 3y agoTrue; I was thinking about abstract algebra, set theory, and number theory when I wrote that.