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Can you expand on "no golden path to geometry"? I've not heard this and my mind immediately went to Phi - it seems to me that in geometry, there actually is a p
by ccvannorman 3y ago
Can you expand on "no golden path to geometry"? I've not heard this and my mind immediately went to Phi - it seems to me that in geometry, there actually is a path, e.g. anyone would arrive to parallel line axioms and platonic solids ..
- Frummy 3y agoSo to be exact, it's Euclid saying "there is no royal road to geometry". So Euclid means that a king for example couldn't spend a bunch of money to acquire an understanding of geometry, rather, just like a peasant he would have to go through the effort of thought to arrive at a proficiency with the ideas. It's not a saying that means there is no logically coherent path or something like that, it's a socially concerned comment that wealth or power won't necessarily give you a shortcut to true wisdom and knowledge.
- tysam_and 3y agoIt's interesting to me that the conversation went in this particular direction off of the original question.