Is Euclidean Geometry the Single Solution?

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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.

Welcome to the November 2022 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). We take questions asked by Patreons, whittle them down to a more manageable number — based primarily on whether I have anything interesting to say about them, not whether the questions themselves are good — and sometimes group them together if they are about a similar topic. Enjoy!

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