I am looking for recent books ( say published after 2000) on the philosophy of geometry, most books on the philosophy of mathematics seem to ignore or bypass geometry at all or am I just looking with my eyes closed?
2026-03-25 16:46:30.1774457190
Books on the philosophy of geometry
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Interesting question. In short, I think any book on geometry is in some way philosophical. Let me explain.
Historically, mathematicians like Euclid wrote the Elements not for the final purpose of studying geometry, but in order to prepare people for the study of philosophy. Geometry was a good tool for this because any argument needs to be tight and can be spread out as several steps. This is what you need for a philosophy argument - yes you could lay your argument out in essay form, but at the core it will be a progression from one statement to the other.
Therefore, if you pick up any book on geometry which has rigour in it (for example, Geometry Revisited), you should get some insight into philosophy.