And much later, it was shown that the geometric “truths” that were settled questions do not describe the physical world as had been settled. Indeed, it turned out that there are many geometries other than Euclidean geometry. Solved problems need not stay solved, even in mathematics.
And much later, it was shown that the geometric “truths” that were settled questions do not describe the physical world as had been settled. Indeed, it turned out that there are many geometries other than Euclidean geometry. Solved problems need not stay solved, even in mathematics.
Do you know if Plato was claiming Euclidean geometry was physically true in that sense? Doesn’t sound like something he would say.