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Topic: The Invalidity of Godel's Incompleteness Work.
Replies: 87   Last Post: Oct 25, 2013 2:44 PM

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Peter Percival

Posts: 1,306
Registered: 10/25/10
Re: The Invalidity of Godel's Incompleteness Work.
Posted: Oct 19, 2013 5:07 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Nam Nguyen wrote:
> On 19/10/2013 2:58 PM, Peter Percival wrote:
>> Nam Nguyen wrote:
>>> On 19/10/2013 2:44 PM, Peter Percival wrote:
>>>> Nam Nguyen wrote:
>>>>

>>>>> [...], I'll have to work with you on your understanding
>>>>> first, and we'll see if you'd still have the same protest.

>>>>
>>>> Surely that would be a "cruel and unusual punishment"?

>>>
>>> I don't know what you're talking about.

>>
>> It's a quotation from some amendment to the US constitution. Don't ask
>> me, I know nothing.
>>

>>> Surely other posters (e.g., fom, Alan, ...) and I on the occasions
>>> _when needed_ did clarify technical matters. Why can't you?

>>
>> Is this clear enough?

>
> No: it's not clear enough that you do - or do not - understand the
> definition.

>>
>> From your definition:
>>

>> > _A meta truth_ is said to be impossible to know if it's not in the
>> > collection of meta truths, resulting from all available definitions,
>> > permissible reasoning methods, within the underlying logic framework
>> > [FOL(=) in this case].

>
> Right. That's my definition of the phrase here.

>>
>> this follows:

>
> No. _It does NOT follow from my definition_ .


Why not? Where does the following (quite brilliant, in my opinion)
reasoning fail?

>>
>> We don't yet know if PA|-cGC or PA|-~cGC, so we don't know if "PA|-cGC"
>> or "PA|-~cGC" is in the collection of meta truths. So we don't know if
>> it's impossible to know cGC (or ~cGC). Why, then, do you claim that
>> it's impossible to know cGC (or ~cGC)?
>>
>> Do you know that both cGC and ~cGC are not in the collection of meta
>> truths? If so you must know that neither PA|-cGC nor PA|-~cGC. You
>> should publish your proof. And stop claiming that Gödel's
>> incompleteness theorem is invalid, because if neither PA|-cGC nor
>> PA|-~cGC, then that is an example of incompleteness.
>>
>> Also if you know that neither PA|-cGC nor PA|-~cGC, then you've proved
>> PA consistent. So you should stop claiming that its consistency is
>> unprovable.
>>

>
>



--
The world will little note, nor long remember what we say here
Lincoln at Gettysburg


Date Subject Author
10/4/13
Read The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/5/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/6/13
Read Re: The Invalidity of Godel's Incompleteness Work.
LudovicoVan
10/6/13
Read Re: The Invalidity of Godel's Incompleteness Work.
LudovicoVan
10/9/13
Read Re: The Invalidity of Godel's Incompleteness Work. (Halmos quote)
fom
10/18/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/18/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/19/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/24/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/24/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/24/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/24/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/24/13
Read Re: The Invalidity of Godel's Incompleteness Work.
namducnguyen
10/24/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Peter Percival
10/24/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/24/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/20/13
Read Re: The Invalidity of Godel's Incompleteness Work.
fom
10/25/13
Read Re: The Invalidity of Godel's Incompleteness Work.
Rock Brentwood

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