Newsportal USENET - Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC

Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC

Sujet : Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC
De : richard (at) *nospam* damon-family.org (Richard Damon)
Groupes : comp.theory sci.logic
Date : 11. Mar 2024, 04:58:52

Autres entêtes

Organisation : i2pn2 (i2pn.org)
Message-ID : <usls1d$1enef$19@i2pn2.org>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
User-Agent : Mozilla Thunderbird

On 3/10/24 7:38 PM, olcott wrote:

On 3/10/2024 9:04 PM, Richard Damon wrote:
On 3/10/24 6:24 PM, olcott wrote:
On 3/10/2024 7:40 PM, immibis wrote:
On 10/03/24 20:16, olcott wrote:
On 3/10/2024 2:09 PM, immibis wrote:
On 10/03/24 19:32, olcott wrote:
On 3/10/2024 1:08 PM, immibis wrote:
On 10/03/24 18:17, olcott wrote:
ZFC simply tossed out the Russell's Paradox question as unsound.
>
So you are saying that some Turing machines are not sound?
>
Both H ⟨Ĥ⟩ ⟨Ĥ⟩ and Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ correctly decide that:
(a) Their input halts H.qy
(b) Their input fails to halt or has a pathological
relationship to itself H.qn.
>
But the "Pathological Relationship" is ALLOWED.
>
ZFC simply tossed out the Russell's Paradox question as unsound
expressly disallowing the "Pathological Relationship".
>
So you are saying that some Turing machines are not real Turing machines?
>
I am only claiming that both H and Ĥ.H correctly say YES
when their input halts and correctly say NOT YES otherwise.
>
well the halting problem requires them to correctly say NO, so you haven't solved it
>
All decision problem instances of program/input such that both
yes and no are the wrong answer toss out the input as invalid.
>
>
all decision problems are defined so that all instances are valid or else they are not defined properly
>
>
Not in the case of Russell's Paradox.
>
And now we are back to: Every Turing machine and input pair defines an execution sequence. Every sequence is either finite or infinite. Therefore it is well-defined and there is no paradox.
>
Can you show me a Turing machine that specifies a sequence of configurations that is not finite or infinite?
>
When we construe every yes/no question that cannot possibly
have a correct yes/no answer as an incorrect question
>
then we must correspondingly construe every decider/input
pair that has no correct yes/no answer as invalid input.
>
>
And when you remember that when we posse that ACTUAL question, the input is a FIXED machine, (not a template that changes by the decide that it trying to decide it) then there are a LOT of machines that get the right answer. The key is we know that there is ONE that doesn't, the one that particular decider was built to foil. Thus, the problem isn't an invalid question.
In computability theory and computational complexity theory,
an undecidable problem is a decision problem for which it is
proved to be impossible to construct an algorithm that always
leads to a correct yes-or-no answer.
https://en.wikipedia.org/wiki/Undecidable_problem

Right.

If the only reason that a machine does not get a correct yes/no answer
for this machine/input pair is that both yes and no are the wrong answer
for this machine/input pair then this machine/input pair is a yes/no
question that has no correct yes/no answer for this machine/input pair.
The exact same word-for-word question:
Are you a little girl?
Has a different meaning depending on who is asked.

Right, but "Does this input describd a computation that Halts when Run?" ALWAYS has a correct answer, when that input IS a computation, a SPECIFIC algorithm applied to a SPECIFIC input.
Nothing in that question refers to who it is being ask of.
Note, Converting the input to a template that looks at the decider deciding on it, that IS an invalid input, and can't actually be build with a Turing Machine description as an input.
Part of your problem is you have changed the problem because you don't understand it.
H^ uses a SPECIFIC DEFINED H, the ONE machine this H^ is designed to foil. It doesn't change when you change the H looking at it.
There ALWAYS is a correct answer for that H^ (H^), it is just a fact the particular H it was built for will get it wrong.
When you combine that with the fact that you can make a similar input for ANY machine that wants to try to claim to be a Halt Decider, and we end up not being able to have Halt Deciders.

The exact same word-for-word question:
Does your input halt on its input?
Has a different meaning depending on who is asked.

NOPE.
Because H^ (H^) Will always do the same thing no matter who you ask about it, because a given H^ (which is what the question is about) will ALWAYS use its one specific H and always do the same thing.

Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqy ∞ // Ĥ applied to ⟨Ĥ⟩ halts
Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.Hq0 ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.Hqn // Ĥ applied to ⟨Ĥ⟩ does not halt
When every Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ is asked this question:
Does your input halt on its input?
It is an incorrect question.

What do you mean by "Every"?
For any specific question, there is just one specific H^ with a specific operation and that H^ will always end up in qy or qn depending on exactly what the specific H it was built on does.
You have the wrong question.
The question is NOT about the TEMPLATE, but a specific instance of that template built on a specific decider, that makes that one decider wrong.
You just seem too dumb to understand that.
H^ is NOT a "Template", ^ is a template that has been applied to a SPECIFIC machine H (not a set of them, but just a specific one).
You have just been lying to yourself too long, and have forgottent the actual problem.

Les messages affichés proviennent d'usenet.

Date	Sujet	#	Auteur
9 Mar 24	Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	156	olcott
9 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	145	Richard Damon
9 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	9	olcott
9 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	7	immibis
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	6	olcott
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	2	Richard Damon
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	1	olcott
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	3	Mikko
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	2	olcott
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	1	Mikko
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	1	Richard Damon
9 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	124	olcott
9 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	122	immibis
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	121	olcott
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	118	immibis
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	117	olcott
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	116	immibis
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	115	olcott
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	114	immibis
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	113	olcott
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	112	immibis
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	111	olcott
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	107	immibis
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	106	olcott
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	105	immibis
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	104	olcott
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	100	olcott
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	99	olcott
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	98	olcott
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC	97	olcott
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior YES/NO	1	olcott
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC	89	Richard Damon
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC	88	olcott
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC	29	immibis
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC	28	olcott
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC	12	immibis
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC	11	olcott
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC	1	Richard Damon
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC	9	immibis
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC	8	olcott
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC	6	olcott
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC	2	Richard Damon
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC	1	olcott
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC	3	immibis
11 Mar 24	H ⟨Ĥ⟩ ⟨Ĥ⟩ is correct when reports on the actual behavior that it sees	2	olcott
12 Mar 24	Re: H ⟨Ĥ⟩ ⟨Ĥ⟩ is correct when reports on the actual behavior that it sees	1	Richard Damon
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC	1	immibis
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC	14	immibis
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior --RASP Machines--	13	olcott
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior --RASP Machines--	4	immibis
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior --RASP Machines--	3	olcott
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior --RASP Machines--	1	Richard Damon
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior --RASP Machines--	1	immibis
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior --RASP Machines--	8	olcott
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior --RASP Machines--	7	olcott
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior --RASP Machines--	6	olcott
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior --Foundations--	5	olcott
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior --Foundations--	1	olcott
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior --Foundations--	3	immibis
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior --Foundations--	2	olcott
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior --Foundations--	1	immibis
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC	1	Richard Damon
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC	58	olcott
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --attribution--	57	olcott
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --attribution--	56	olcott
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	53	olcott
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	47	olcott
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	44	olcott
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	43	olcott
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	40	Richard Damon
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	39	olcott
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	10	Richard Damon
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --willful ignorance--	9	olcott
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --willful ignorance--	7	Richard Damon
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --willful ignorance--	6	olcott
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --Olcott willful ignorance--	5	Richard Damon
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --Olcott willful ignorance--	4	olcott
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --Olcott willful ignorance--	2	immibis
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --Olcott willful ignorance--	1	olcott
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --Olcott willful ignorance--	1	olcott
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --willful ignorance--	1	immibis
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	28	immibis
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	27	olcott
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	26	immibis
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	25	olcott
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	23	immibis
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	22	olcott
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	19	Richard Damon
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	18	olcott
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	15	Richard Damon
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	3	olcott
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	2	Richard Damon
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	1	olcott
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	4	olcott
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	1	Richard Damon
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	2	immibis
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	1	olcott
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	7	olcott
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	6	Richard Damon
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	5	olcott
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	2	Richard Damon
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	2	immibis
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	2	immibis
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	2	immibis
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	1	Richard Damon
12 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	2	immibis
12 Mar 24	Re: ZFC solution to incorrect questions: reject them	2	olcott
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --new focus--	5	immibis
11 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC --attribution--	2	immibis
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior ZFC	6	immibis
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	3	immibis
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	3	Mikko
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	2	Richard Damon
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	1	Richard Damon
9 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	11	olcott
9 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	5	immibis
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	2	olcott
10 Mar 24	Re: Verified fact that Ĥ.H ⟨Ĥ⟩ ⟨Ĥ⟩ and H ⟨Ĥ⟩ ⟨Ĥ⟩ have different behavior	3	Mikko