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You prove his point with your fluid example. Integers have _everything_ to do with our world. If we lived in a fluid world, then the mathematics of that world w
by backpropaganda 10y ago
You prove his point with your fluid example. Integers have _everything_ to do with our world. If we lived in a fluid world, then the mathematics of that world will not have integers.
Take a look at this: https://en.wikipedia.org/wiki/Mathematical_universe_hypothesis https://en.wikipedia.org/wiki/Mathematical_universe_hypothes...
- jjgreen 10y agoPerhaps my point is misunderstood here: it is that if we think of mathematical truth as being based on intuition, then since what can be intuited depends on the species, on the society, even on the individual (99% of what was intuitive to Grothendieck is completely beyond me), then mathematical truth becomes relative. I say no, 1+1=2 universally, whether it is intuitive to you or not.