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by reggieband
2377 days ago
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ZFC follows along a path including (but not started by) Russell/Whiteheads Principia Mathematica, which famously (infamously?) takes several hundred pages to prove 1+1=2. I doubt very few have thought ZFC (or it's variants) would be the last word. Almost no scientists cared about formalizing or proving the soundness of the mathematical tools they used. In the same way the majority of programmers do not care about proving the soundness of their programming languages. In general, people seem to be interested in the practical aspects of their work. But the general idea that symbolic logic is the primary basis for understanding the world is something a bit different and something we rarely question now. I think people assume that this is some obvious thing but it is actually an idea that was coordinated and forwarded. It appears to me that the debate at the beginning of the 20th century around using set theory to establish the foundations of math by way of logic is when the scale seems to have heavily tipped towards that particular idea. |
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