Path: news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail
From: olcott <polcott333@gmail.com>
Newsgroups: comp.theory
Subject: Re: Formal systems that cannot possibly be incomplete except for
 unknowns and unknowable
Date: Wed, 7 May 2025 15:03:04 -0500
Organization: A noiseless patient Spider
Lines: 83
Message-ID: <vvge9o$15e69$11@dont-email.me>
References: <vv97ft$3fg66$1@dont-email.me>
 <b47c9e70d415c1e5e469aaab846f0bd05e4bcc51@i2pn2.org>
 <vvall0$o6v5$1@dont-email.me> <vvc33h$25atc$1@dont-email.me>
 <vvcgja$1voc$1@news.muc.de> <vvd6pf$34l9k$1@dont-email.me>
 <vvdads$13pc$1@news.muc.de> <vvdcld$3arjo$1@dont-email.me>
 <vvg6r9$15e69$1@dont-email.me> <vvg86b$15i5e$8@dont-email.me>
 <vvg963$15e69$5@dont-email.me> <vvg9aq$15i5e$11@dont-email.me>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 8bit
Injection-Date: Wed, 07 May 2025 22:03:05 +0200 (CEST)
Injection-Info: dont-email.me; posting-host="ee5137430f56269cd3e6381ddf24cf46";
	logging-data="1226953"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX1/H4sNI9qm1u95GfDdW6PAZ"
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:H5AA7+IKfcYC4vrrXU/4HvMl7bw=
X-Antivirus: Norton (VPS 250507-4, 5/7/2025), Outbound message
Content-Language: en-US
X-Antivirus-Status: Clean
In-Reply-To: <vvg9aq$15i5e$11@dont-email.me>

On 5/7/2025 1:38 PM, dbush wrote:
> On 5/7/2025 2:35 PM, olcott wrote:
>> On 5/7/2025 1:18 PM, dbush wrote:
>>> On 5/7/2025 1:55 PM, olcott wrote:
>>>> On 5/6/2025 11:16 AM, Richard Heathfield wrote:
>>>>> On 06/05/2025 16:38, Alan Mackenzie wrote:
>>>>>> These aren't particularly difficult things to comprehend.  As I keep
>>>>>> saying, you ought to show a lot more respect for people who are
>>>>>> mathematically educated.
>>>>>
>>>>> I concur.
>>>>>
>>>>> As someone who is not particularly mathematically educated (I have 
>>>>> an A- level in the subject, but that's all), I tend to steer well 
>>>>> clear of mathematical debates, although I have occasionally dipped 
>>>>> a toe.
>>>>>
>>>>> I have *enormous* respect for those who know their tensors from 
>>>>> their manifolds and their conjectures from their eigenvalues, even 
>>>>> though it's all Greek to me.
>>>>>
>>>>> But to understand the Turing proof requires little if any 
>>>>> mathematical knowledge. It requires only the capacity for clear 
>>>>> thinking.
>>>>>
>>>>> Having been on the receiving end of lengthy Usenet diatribes by 
>>>>> cranks in my own field, I don't hold out much hope for our current 
>>>>> culprits developing either the capacity for clear thought or any 
>>>>> measure of respect for expertise any time soon.
>>>>>
>>>>> Nor do I believe they are capable of understanding proof by 
>>>>> contradiction, which is just about the easiest kind of proof there 
>>>>> is. In fact, the most surprising aspect of this whole affair is that 
>>>>
>>>>
>>>>> (according to Mike) Mr Olcott seems to have (correctly) spotted a 
>>>>> minor flaw in the proof published by Dr Linz. How can he get that 
>>>>> and not get contradiction? Proof by contradiction is /much/ easier.
>>>>>
>>>>
>>>> When THERE IS NO CONTRADICTION then proof by contradiction fails.
>>>
>>> False.  The contradiction is that HHH is found to not map the below 
>>> function after it is assumed that the below function is computable 
>>> and that HHH computes it:
>>>
>>>
>>> Given any algorithm (i.e. a fixed immutable sequence of instructions) 
>>> X described as <X> with input Y:
>>>
>>> A solution to the halting problem is an algorithm H that computes the 
>>> following mapping:
>>>
>>> (<X>,Y) maps to 1 if and only if X(Y) halts when executed directly
>>> (<X>,Y) maps to 0 if and only if X(Y) does not halt when executed 
>>> directly
>>>
>>>
>>
>> In other words you absolutely refuse to begin
>> to understand to notion of computing the mapping
>> from an input.
>>
> 
> 
> I'll let you respond to yourself:
> 
> On 10/12/2024 8:35 PM, olcott wrote:
>  > That your rebuttals are pure bluster utterly bereft of any
>  > supporting reasoning is clear to all having sufficient
>  > technical understanding.
> 

In other words you absolutely refuse to understand
that functions computed by models of computation
are only allowed to derive outputs by applying
the steps of an algorithm to their actual inputs.

You probably don't understand any of those words.

-- 
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer