Re: Alan Turing's Halting Problem is Incorrect (FINAL PART)

From: Martin Shobe (mshobe_at_sbcglobal.net)
Date: 07/09/04 

Date: Fri, 09 Jul 2004 05:02:38 GMT

On Thu, 08 Jul 2004 23:00:33 GMT, "Peter Olcott"
<olcott@worldnet.att.net> wrote:

>> > But, unlike what the sadly confused
>> > Olcott thinks, this is not analogous to the Halting Problem, as the
>> > context of the alleged counterexample provides us with no coherent sense
>> > in which *anything* represents a "limitation" on "p".
>
>If you can't even get into the right ballpark when you paraphrase me
>how is it that you can logically justify your harsh criticism of what
>I am saying? What I am saying is that it is not reasonable to equate
>the term limitation with a task that is analytically impossible.
>
>The term Limitation generally refers to a limitation of one entity
>relative to another. If no entity can accomplish a task, then to
>say that another entity is limited by not being able to accomplish
>the task goes against the common usage of the term limitation.
>One could characterize this as an incorrect use of the term, thus
>an error. Or one could characterize this as an extension of the
>meaning of the term.
>

I believe you have stated that you only use the primary definitions of
words, so here goes. (From Dictionary.com)

Limitation: The act of limiting or the state of being limited.
Limit: The point, edge, or line beyond which something cannot or
may not proceed.

Notice that limits are not relative to other entities.

Martin