• Re: Refutation of =?iso-8859-13?Q?Turing=FFs?= 1936 Halting Problem Pro

    From joes@21:1/5 to All on Fri Apr 25 22:09:57 2025
    Am Fri, 25 Apr 2025 16:46:11 -0500 schrieb olcott:
    On 4/25/2025 11:54 AM, Richard Damon wrote:
    On 4/25/25 12:31 PM, olcott wrote:

    Once we understand that Turing computable functions are only allowed
    to derived their outputs by applying finite string operations to their
    inputs then my claim about the behavior of DD that HHH must report on
    is completely proven.

    Youy have your words wrong. They are only ABLE to use finite algorithms
    of finite string operations. The problem they need to solve do not need
    to be based on that, but on just general mappings of finite strings to
    finite strings that might not be described by a finite algorithm.
    The mapping is computable, *IF* we can find a finite algorith of
    transformation steps to make that mapping.

    There are no finite string operations that can be applied to the input
    to HHH(DD) that derive the behavior of of the directly executed DD thus
    DD is forbidden from reporting on this behavior.
    Yes, there are, the operations that the processor executes. How did you
    think it works?

    --
    Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
    It is not guaranteed that n+1 exists for every n.

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