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Are you objecting that infinite precision or irrational numbers do not physically exist? That may be. Or it might not. Whether (physical) space is infinitely d
by drdeca 10y ago
Are you objecting that infinite precision or irrational numbers do not physically exist?
That may be. Or it might not. Whether (physical) space is infinitely divisible or not is, I think, an open question. I think it is even plausible that the answer might be that it can be described equally well both ways? Not sure.
I don't mind thinking about abstract objects which do not physically exist. (Though, I generally consider abstract objects to exist in some sense, though you may disagree, and that's fine.)
If you don't care to think about them, that's fine also.
I believe that thinking about them is often useful. Treating pi as existing allows for reasoning about things more efficiently, even if it turns out that it results in inaccuracies in predictions about the physical world which are far smaller than our ability to measure/notice. (If we can't notice the results of the error, it doesn't seem to be much of a problem.)
That doesn't mean you have to accept pi as actually existing. I think it would be to your benefit to at least accept its use though. I do consider it to actually exist.