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Joined 3 months ago
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Cake day: October 20th, 2024

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  • Pointing that A is like B regarding the aspect X is often treated as a “comparison” between A and B, but it doesnt imply that A is as great, as important, or as bad as B. It doesnt imply that A is like B in any way other than in the aspect X.

    Why not focus on the point that is being made instead of freaking out over the angles from which the analogy breaks down. Every analogy breaks down from some angle.











  • Turing machines can’t exist, either.

    Oh no! You got me there!

    Why do you need uncountable infinities for hypercomputers, though?. I see that Martin Davis criticism has to do with that approach, and I agree this approach seems silly. But, it doesnt seem to cover all potential fronts for hypercomputers. Im not talking about current approaches to quantum computing either. What if some yet unknown physical law makes arrangements of particles somehow solve the first order logic validity problem, which is also not in R? Doesnt involve uncountable infinity at all. Again, im not saying its possible, just that theres no purely logical proof of impossibility, thats all.



  • church-turing is a a thesis, not a logical theorem. You pointed me to a proof that the halting problem is unsolvable by a Turing Machine, not that hypercomputers are impossible.

    The critic Martin Davis mentioned in wikipedia has an article criticizing a kind of attempt at showing the feasibility of hypercomputers. Thats fine. If there was a well-known logical proof of its unfeasibility, his task would be much simpler though. The purely logical argument hasnt been made as far as i know and as far as you were able to show.