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A thread on the historical roots of non-Euclidean geometry:
https://twitter.com/johncarlosbaez/status/1246834740893634562
People often say non-Euclidean geometry was discovered in the 1800s, but spherical geometry goes back to the ancient Greeks. It's important in astronomy, because the sky is a sphere! In spherical geometry, the parallel postulate breaks down. (1/n) https://twitter.com/johncarlosbaez/status/1246834740893634562/photo/1
- John Carlos Baez (@johncarlosbaez)A rant on how logic fits into the duality between algebra and geometry:
https://twitter.com/johncarlosbaez/status/1246911691855552512
@Francis16833887 @mathemensch @CreeepyJoe @_julesh_ Fun questions! The basic reason why want to think of the sets of possible states of affairs as a topological space is that we need a way to think of one state as "close" to another, since our measurements are not perfectly precise. (1/n)
- John Carlos Baez (@johncarlosbaez)