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$\begingroup$ You may want to clarify that the "widely reported statement" may be apocriphal as we have no document by Kronecker containing such a statement. Rather, it was reported by Weber after Kronecker was safely underground. Kronecker scholars have raised doubts about the accuracy of Weber's report. $\endgroup$Mikhail Katz– Mikhail Katz2017-11-02 15:53:43 +00:00Commented Nov 2, 2017 at 15:53
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$\begingroup$ @MikhailKatz based on this it is probably not apocryphal. $\endgroup$Spencer– Spencer2020-08-01 17:09:12 +00:00Commented Aug 1, 2020 at 17:09
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$\begingroup$ @Spencer, the page you linked provides the following quote from Kronecker: "The principal difference between geometry and mechanics on one hand, and the other mathematical disciplines we comprehend under the name of \arithmetic, consists according to Gauss in this: the object of the latter, number, is a pure product of our mind, while space as well as time has reality also outside of our mind which we cannot fully prescribe a priori. (Kronecker, Uber den Zahlbegriff, 1887, p. 339)" This quote is not apocryphal, and goes in the opposite direction of Weber's phrase. $\endgroup$Mikhail Katz– Mikhail Katz2022-12-05 09:17:46 +00:00Commented Dec 5, 2022 at 9:17
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$\begingroup$ @MikhailKatz So, assuming Weber is correct in claiming Kronecker made the famous quote, how do you reconcile the two? $\endgroup$Spencer– Spencer2022-12-05 16:23:11 +00:00Commented Dec 5, 2022 at 16:23
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$\begingroup$ @Spencer, we have on the one hand a direct quotation from Kronecker expressing anti-Platonist views, and on the other a report after Kronecker's death by Weber, phrased in reportedly "condescending" terminology (see the comment by Felscher at the post you linked). The choice is yours. $\endgroup$Mikhail Katz– Mikhail Katz2022-12-05 19:47:26 +00:00Commented Dec 5, 2022 at 19:47
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