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> stopped relying on common sense This I learned from GEB too I think, the aha moment around 200 years ago when people understood formal axiom system can be ar
by trgn 3y ago
> stopped relying on common sense
This I learned from GEB too I think, the aha moment around 200 years ago when people understood formal axiom system can be arbitrary, and even counterintuitive. Rather than creating a crisis of confidence, and the collapse of the field, it was the start of a whole new era for mathematics (and eventually physics, e.g. it's hard to imagine something like, I don't know, relativity, if math/physics had remained rooted in "common sense").
- kragen 3y agonote that this isn't the first time; you can see it clearly in eudoxus, euclid, archimedes, and the antikythera mechanism, and lucio russo's book tells the story of how science was rapidly developing until the roman conquest brought it to a crashing halt