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.
Plato agreed, which is why he held up geometry as the standard for judging other “sciences”.
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.