5min chapter

Sean Carroll's Mindscape: Science, Society, Philosophy, Culture, Arts, and Ideas cover image

AMA | November 2022

Sean Carroll's Mindscape: Science, Society, Philosophy, Culture, Arts, and Ideas

CHAPTER

Is Euclidean Geometry the Single Solution?

In abstract philosophy land, of course, you could be wrong, right? You could be sure that this person is going to cause tremendous harm to the world, but maybe you're wrong. So I don't think that the in principle conclusion carries much weight in real world deliberations here. It seems inconceivable to me what Euclidean geometry was considered to be the answer without serious question for so long. The sphere, for example, would have been a well-known object Euclid himself.

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