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Old 11-13-2008   #9 (permalink)
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Re: Halting Undecidability proof faulty?

Quote:
Originally Posted by Kriminal99 View Post
The fact that my philosophical knowledge alerts me to the fact that it's definition most likely demands that it not be able to operate on itself is not required for the above reasoning.
I would hope that your "philosophical knowledge" would alert you to the fact that the phrase "most likely" has no truth-value, and that even if you dropped that qualifier to more explicitly state that "[a halting program's] definition demands that it not be able to operate on itself" requires at least some sort of outline of a proof to show the validity of the statement.

Craig's clarification that "operating on itself" refers to the program as a representation of an algorithm rather than the machine, is a different distinction which I had not considered might be tripping you up, but if this is what you mean by that inability to work on itself--something that's not clear because you still haven't gotten around to telling us anything about why you think this is problematic--then it's important to recognize that as Craig points out, the machine itself is not the subject of the Halting Problem, only the
algorithm is.

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