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Dec 17, 2014 at 3:45 comment added Alexandre Eremenko @Conifold: I agree with your last statement.
Dec 17, 2014 at 0:50 comment added Conifold Mach was actually a philosophizing physicist, as was Einstein, and his philosophy directly influenced his physics. The same can be said of Gödel in mathematics, Grassmann's philosophy is hard to separate from his mathematics. "Philosophy ends just where the science begins" isn't chronological, they remix every time major conceptual difficulties arise in science.
Dec 16, 2014 at 0:35 comment added Alexandre Eremenko @fdb: thanks for the spelling correction. I mean that Eudoxos was a mathematician when we wrote about mathematics. Mathematicians may have various hobbies and can also do anything else, including alchemistry and theology.
Dec 16, 2014 at 0:33 history edited Alexandre Eremenko CC BY-SA 3.0
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Dec 15, 2014 at 19:58 comment added fdb Eudoxus (correct Latin spelling) or Eudoxos (correct Greek spelling) wrote also famously about ethics. I do not see why you think he was "already" a mathematician and not a philosopher.
Dec 15, 2014 at 19:50 comment added hjhjhj57 This is a great answer, but I get the feeling that it doesn't answer my question completely (even though everything you mention is very relevant). Maybe the problem is the question itself, I need to think about it. As @Danu pointed out in the comments, mathematics may be more independent from philosophy than I originally thought. Would you say mathematic's creative force is as essential as philosophy's or art's?
Dec 15, 2014 at 19:11 history answered Alexandre Eremenko CC BY-SA 3.0