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That also presumes that knowledge depends on computation, which is not necessarily true. Two interesting things are going on right now. First, we've come to a
by slowmovintarget 11y ago
That also presumes that knowledge depends on computation, which is not necessarily true.
Two interesting things are going on right now. First, we've come to a crossroads in cosmology [0] where some heavy hitters are rebelling and saying time is real and mathematics is a too-comfortable approximation. Second is a new foundation for mathematics that moves away from set theory to a fusion of type theory and homotopy theory called univalence [1].
It is these kinds of events that permit the scales to fall from our eyes and show us more of the things we didn't know we didn't know. Our meta-ignorance may soon be reduced, just a bit. But back to the point, it may likely also become true that these pull many subjects into the realm of the computable.
[0] Unger, Smolen http://www.amazon.com/gp/product/1107074061
[1] https://www.quantamagazine.org/20150519-will-computers-redefine-the-roots-of-math/