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Logic refers to its philosophical branch of study. The dichotomy is apt. Math is pure logic, meaning that you can be locked in a bunker for generations and keep
by mekoka 5y ago
Logic refers to its philosophical branch of study. The dichotomy is apt. Math is pure logic, meaning that you can be locked in a bunker for generations and keep discovering new laws. You can't do the same with physics. A mathematical or logical circle is nothing but a thought, an idea, it's perfect and has no physical equivalent. Pi is bound to that idea in any universe. The metric system is irrelevant (it mathematically cancels out).
- foldr 5y agoMjburgess is referring to the failure of the logiscist program in research in the foundations of mathematics: https://plato.stanford.edu/entries/logicism/ https://plato.stanford.edu/entries/logicism/ The article doesn't make it entirely clear that the program is widely considered to be a failure, but it is. A better way to express the claim that you're making about mathematics would be to say that mathematical truths can be known a priori.