All mathematics is produced by physical objects (brains, computers). Therefore the laws of physics determine what theorems are possible, and mathematics has no existence independent of our universe.
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Apart from a number of things that weren't, like the Mandelbrot set, which was discovered... and, of course, maths that produces more maths, as much maths does. I think that this claim depends on particular, limited meanings of both 'physical' and 'existence'.
Neither of those contradicts my statement at all. Mandelbrot's set was created by Mandelbrot. Ever-finer visualizations of it are created by computers. Etc.
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Well, well, if you truly believe that Mandelbrot created the Mandelbrot set, then you've a very peculiar understanding of what 'created' means. He himself didn't believe that: “A formula can be very simple and create a universe of bottomless complexity.” — Benoit Mandelbrot
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On the contrary. He created the formula, and the formula, when run on a computer, creates the universe - one iteration at a time.
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You speak of the set as a singular thing in many brains/minds/computers. But on your view it’s not, right? Are you speaking in shorthand in a way you can translate to accommodate the view that this set as a singular thing exists nowhere in particular?
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(Obviously no worries if you’ve tired of the subject for now. Just caught my interest.)
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