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... this perfect square "exist", in some sense? Plato thought so; after all, everyone seems to have access to it. It all sounds plausible, so where are the perfect squares, perfect triangles, circles, trees, love, justice, etc? They"re off in some part of the universe that we can or access partially and indirectly, through (rational) mental effort. So does the number ... ...
... that mountain beautiful". This does not necessarily show an advance, but a different approach to similar topics. Plato used mathematics to explain that we base geometry around perfect angles, circle, and triangles, even though they do not exist. For example, many woman are very beautiful, but no one woman epitomizes beauty. It is something unattainable in a sense (you can't "have" beauty), but ... ...
... this perfect square "exist", in some sense? Plato thought so; after all, everyone seems to have access to it. It all sounds plausible, so where are the perfect squares, perfect triangles, circles, trees, love, justice, etc? They"re off in some part of the universe that we can or access partially and indirectly, through (rational) mental effort. So does the number ... ...
