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Jul 3 at 15:41 comment added Daniel Asimov Mihail Katz: Please accept my apology for misreading your answer and thinking that the quoted portion was your opinion. (What I wrote is still my reaction to that point of view, whoever may think it.)
Jul 3 at 6:36 comment added Mikhail Katz @DanielAsimov, Platonists think that, I don't. Please re-read my answer.
Jul 3 at 0:06 comment added Daniel Asimov Where you wrote: "... mathematicians study a mind-independent reality which therefore has nothing to do with the empirical method of the natural sciences," you are correct that mathematical reality is mind-independent, but it is a big mistake to believe that mathematics "has nothing to do with empirical sciences". How do you suppose that mathematicians come up with the statements of theorems that they then try to prove? It is precisely by studying many examples of some mathematical phenomenon until some sort of likely true statement can be sussed out. That is exactly what "empirical" means.
Mar 18 at 9:53 comment added Mikhail Katz @Pablo, I take it neither of us is a Platonist :-)
Mar 17 at 20:51 comment added Pablo It's hard to think Math as totally independent of the real world when numbers appeared to represent quantities. If Math would have appeared as something totally disconnected from the real world, there would be no reason for 2+2 to be 5, 6, or whatever
Mar 17 at 16:15 history answered Mikhail Katz CC BY-SA 4.0