"Fixed point" here is a term in the subject of provability logic (PL):


How this relates to a Brouwer fixed point  - * how does provability logic 
relate to topology*  - is a subject that is interesting but is outside what 
I know about.

Fixed points, monads, monoids, all arise in PL and PLT. So what do they 
have to do with qualia of experience?  TBD.

- pt

On Saturday, March 2, 2019 at 7:19:01 AM UTC-6, Lawrence Crowell wrote:
> I guess I am not sure what a Gödel-Löb fixed point is. Is this somehow 
> analogous to a Brouwer fixed points in maps or diffeomorphisms of spaces?
> I read Rucker's *Infinity and the Mind* last spring, after having read it 
> many years ago. I could tell he had a penchant for various mystical ideas. 
> This tends blog entry of his suggests he has ideas similar to what Gödel 
> thought, and which I think were a part of leading  him into paranoid 
> delusions. When I clicked on this for some reason I thought this was about 
> monoids, and was a bit disappointed to see it is more philosophical. 
> However, I think the Kant noumena is not really directly knowable, and I 
> think from quantum mechanics we can't know this as either purely epistemic 
> or ontic. I am not sure how ideas of mind fit into this.
> LC
> On Saturday, March 2, 2019 at 3:26:18 AM UTC-6, Philip Thrift wrote:
>> *A Program to Compute Gödel-Löb Fixpoints*
>> Melvin Fitting [ http://melvinfitting.org/ ]
>> https://www.researchgate.net/publication/285841645_A_program_to_compute_Godel-Lob_fixpoints
>> <https://www.google.com/url?q=https%3A%2F%2Fwww.researchgate.net%2Fpublication%2F285841645_A_program_to_compute_Godel-Lob_fixpoints&sa=D&sntz=1&usg=AFQjCNFQ4ORDwOhT81xzkzLgV9unsTybRg>
>> *A loose motivation for much of Melvin Fitting's work can be formulated 
>> succinctly as follows. There are many logics. Our principles of reasoning 
>> vary with context and subject matter. Multiplicity is one of the glories of 
>> modern formal logic. The common thread tying logics together is a concern 
>> for what can be said (syntax), what that means (semantics), and 
>> relationships between the two. A philosophical position that can be 
>> embodied in a formal logic has been shown to be coherent, not correct. 
>> Logic is a tool, not a master, but it is an enjoyable tool to use.*
>> [ https://en.wikipedia.org/wiki/Melvin_Fitting ]
>> also (a bit offbeat):
>> “Simply Gödel,” Phenomenology, and Monads
>> Rudy Rucker
>> http://www.rudyrucker.com/blog/2017/03/17/godel-phenomonology-and-monads/
>> - pt

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