>>7798920 When the Gödel theorem first appeared many mistook it for a paradox, like Russell's, a contradiction within a system of mathematics. Many included Russell himself, Wittgenstein and Zermelo, at least according to the traditional view, see however Russell's response to Gödel's incompleteness theorems for a different view. The issue was that the paradox only arises if one mixes the levels of language. Gödel sentence is unprovable in the object language, the proof that it is nonetheless true is done in the meta language, if one properly distinguishes between the two the paradox disappears, and we uncover an interesting property of the object language. Russell, Wittgenstein and Zermelo were presumably thinking universalistically, within an all encompassing logical system.
I think he may be onto something. it seems somewhat intuitively correct, as i think about my understanding of math. im no expert, but i do have an 800 math sat score, and my dad was an actual rocket scientist. however, i failed at calculus, so i am in fact an idiot.
>>7799087 calculus is an approximation, so is his idea. a circle may be real, but saying we know the identity of each point on the curve of a circle may be false. we dont know, our minds always extrapolate a line that "IS" the circle. sort of a form of reification.
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