
Ep 14: Ch 8, Part 2: "A Window on Infinity"
ToKCast
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The Limits of Knowledge Creation
i conjecture that in mathematics as well as in science and philosophy, if the question is interesting, then the problem is soluble. Fallibleism tells us that we can be mistaken what is interesting. And so three corollaries follow from this conjecture. The first is that inherently insoluble problems are inherently uninteresting. In the long run, the distinction between what is interesting and what is boring is not a matter of subjective taste, but an objective fact. And the third corollary is that the interesting problem of why every problem that is interesting is also soluble, is itself soluble.
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