welcome to postmodern thought, which requires you to choose subjective coherence over objective truth; the "more-true-than-truth sense" is that which PMism elevates as the only real form of knowledge, denying not only that an objective reference point is useful, but even possible
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RT @DKThomp
i "get" these balls are "the same color" but in a more-true-than-truth sense, they are absolutely not the same color, and i value the integrity of…
https://twitter.com/DKThomp/status/1389618108093149188
some historical context: the proof came as a direct response to the culmination of high modernist mathematics, in the form of Russell & Whitehead's Principia Mathematica, which was an attempt to codify the ultimate axiomatic system, capable of consistent universal expression
Gödel showed, to their great chagrin, that this was fundamentally impossible, using methods from {language, number} theory, due to consequences of recursive expressions and infinite spaces
this effectively spelled the end for high modernism and spurred the development of PM