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On 5/14/2025 10:23 PM, Richard Damon wrote:No, as naive set theory still exists.On 5/14/25 11:26 AM, olcott wrote:ZFC replaced the erroneous naive set theory.On 5/14/2025 6:43 AM, Richard Damon wrote:>On 5/13/25 12:22 PM, olcott wrote:>On 5/13/2025 11:01 AM, olcott wrote:>On 5/13/2025 10:47 AM, Mike Terry wrote:>On 13/05/2025 12:54, Fred. Zwarts wrote:>Op 13.mei.2025 om 07:06 schreef olcott:>On 5/12/2025 11:41 PM, André G. Isaak wrote:>On 2025-05-12 21:23, Mike Terry wrote:>
>Mind you it does seem to have gone mad the last month or so. It seems there are only about 2 or 3 actual variations of what PO is saying and all the rest is several thousand repeats by both PO and responders...>
Those who insist on responding to Olcott (of which I admit I have occasionally been one despite my better intuitions) would be well advised to adopt something like the rule of ko (in the game go) which prohibits one from returning to the exact same position. Simply repeating the same objection after olcott has ignored it is pointless. If he didn't get the objection the fiftieth time he's not going to get it the fifty-first time either.
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If people adopted this policy most of the threads on this forum would be considerably shorter.
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André
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If people would actually address rather than
dishonestly dodge the key points that I making
they would see that I am correct.
If olcott would only stop ignoring everything that disturbs his dreams, he would see that his key points have been addresses and refuted many times already.
We might call that a disturbing ko.
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Mike.
The actual reasoning why HHH is supposed to report
on the behavior of the direct execution of DD()
instead of the actual behavior that the finite
string of DD specifies:
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*DD emulated by HHH according to*
*the rules of the x86 language*
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has never been explained. The closest thing to
reasoning that was provided on this point is
"that is what textbooks say".
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ZFC reformulated set theory correcting its error
and the original set theory is now called naive
set theory.
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When we understand that a termination analyzer
must compute the mapping from its input to the
behavior that this input actually specifies
then all of the conventional halting problem
proof fail.
But since that behavior is *DEFINED* to be the behavior of the program represented when run, it is your PROOF that fails, because it uses a strawman.
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In other words ZFC is completely wrong because it did
not address the Russell's Paradox *that was defined in*
naive set theory.
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No, it dealt with Russell's Paradox by creating a brand new Set Theory that wasn't suseptable to it.
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ZFC didn't "fix" Naive Set Theory, as you can't do that, and still be in it. They created an alternative, that did what people needed, so they used it.
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WHich your HHH doesn't do, for several reasons.You are welcome to try and create your POOPS that isn't susseptable to the "problem" of non-computable Functions, but you need to actually define you system, and it doesn't change the fact that in Classical Comoputation Theory, there are non-computable functions (like Halting).The spec sufficiently defines it.
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Of course, it is certain that your computation system will be a lot less powerful, as that is what is needed to be done to get around the "problem".
<MIT Professor Sipser agreed to ONLY these verbatim words 10/13/2022>
If simulating halt decider H correctly simulates its
input D until H correctly determines that its simulated D
would never stop running unless aborted then
H can abort its simulation of D and correctly report that D
specifies a non-halting sequence of configurations.
</MIT Professor Sipser agreed to ONLY these verbatim words 10/13/2022>
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