Post #2022529
2026-05-04 15:38 UTC
You’re misunderstanding the implications of both the halting problem and Gödel’s first incompleteness theorem.
What Turing and Gödel independently proved is that a human observer can (theoretically) always have insights about mathematics and programming that are incomputable. That is, you cannot program or axiomatize or formalize or digitize everything that a mind can do. Period.
Analog computers are sufficiently different from digital systems to potentially emulate brain activity. But digital (discrete) methods are probably too constrained.
Replies (1)
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@SkaveRat@discuss.tchncs.de 2026-05-04 16:00
> What Turing and Gödel independently proved is that a human observer can (theoretically) always have insights about mathematics and programming that are incomputable. That is, you cannot program or axiomatize or formalize or digitize everything that a mind can do. Period. that is not what either of them proved. like... at all