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@yeahiknow3@lemmy.dbzer0.com

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)

  • @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

    Open ##2022530