[MD] Loops - Question for Tuukka
Ian Glendinning
ian.glendinning at gmail.com
Fri Jan 6 04:08:44 PST 2012
Hi Tuukka,
After GEB also read
"Minds I" and "I am a Strange Loop" are his popular works
BUT most importantly ...
"Fluid Concepts and Creative Analogies - Computer Models of the
Fundamental Mechanisms of Thought."
(Amazingly geeky content as well as title, but it blew my mind. I
suspect its recursive patterns will appeal to you too.)
Ian
On Fri, Jan 6, 2012 at 11:56 AM, Tuukka Virtaperko
<mail at tuukkavirtaperko.net> wrote:
> Ian,
> yeah, so since Gödel realized you can have numbers standing for statements
> by assigning a Gödel number to any statement, you can have a statement refer
> to itself. Hmm... you know, I've always wanted to understand the
> incompleteness theorems in an exact or even formal level, and this is
> something I do understand.
>
> So Gödel proved there is statement S (Gödel number), according to which
> there is no statement of sequence of statements P (Another Gödel number)
> that prove S?
>
> By the way, what does it mean when people say such a statement S is "true,
> but unprovable"? Why is it true? That doesn't make any sense.
>
> So if that's a strange loop, well... cool. If you want to see a strange loop
> in my theory, I guess you want to look at +11, because it includes the act
> of thinking about the theory. There may be other strange loops as well. But
> this strange loop could be impossible to formalize, because you can't refer
> to +11 directly, only via D+11 and D-00.
>
> -Tuukka
>
>
>
> 6.1.2012 13:17, Tuukka Virtaperko kirjoitti:
>
>> Ian,
>>>
>>> Ian said:
>>>
>>> Don't know much of your background before MoQ.fi - so just a question ...
>>>
>>> Your recursive loops - you are aware of Doug Hofstadter and "Strange
>>> Loops" - level-shifting recursive loops ? (This is part of the reason
>>> I liked where you are going ...) - the ability of recursion to create
>>> value from nothing (much).
>>>
>>
>> Tuukka:
>> No, I'm not aware of that. Better check out.
>>
>> I haven't been active in any community, at least in any significant
>> extent, before 2011. Short of the mini-community between me and my
>> mathematician friend. I guess I read ZMM in 2003? The first time, that is.
>>
>> -Tuukka
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