Oh it seems all of the results in what I wrote are already known, which I 
actually sort of hoped for.

http://bookzz.org/book/717308/5c7a03/?_ir=1

Especially 1.2 and chapter 6...

Now what about the aggregate of all grammatical systems being a candidate 
for the level 4 multiverse?

On Sunday, May 10, 2015 at 10:42:20 PM UTC-7, Brian Tenneson wrote:
>
> Hi Everyone,
>
> In the final section of the document I linked to earlier, I am trying to 
> prove a principle that, if correct, would be a way to prove something is 
> true for all sets in ZFC; the methods could possibly be adapted to other 
> set theories.  I still have a lot of work to do but it feels promising...
>
>
> https://docs.google.com/document/d/1amDb4Yti4egpKfcO2oLcnGAH8UpC8_tKb7ivuH3AT7A/edit?usp=sharing
>
> The juicy parts start on page 10-11.
>
> I'd like to be proven wrong before I go much further!
>
> Cheers
> Brian
>
> On Thursday, May 7, 2015 at 9:30:50 AM UTC-7, Brian Tenneson wrote:
>>
>> Hi Bruno,
>>
>> Thank you!
>>
>> Cheers
>> Brian
>>
>> On Thursday, May 7, 2015 at 6:18:35 AM UTC-7, Bruno Marchal wrote:
>>>
>>> Hi Brian, 
>>>
>>>
>>> On 06 May 2015, at 18:48, Brian Tenneson wrote: 
>>>
>>> > Good morning Everything List, 
>>> > 
>>> > Bruno Marchal's (sorry if I misspelled your name, Bruno!) feedback   
>>> > on my work has been instrumental in helping me realize when certain   
>>> > ideas need revision.  I have been trying to figure out which   
>>> > mathematical entity is our external reality.  Tegmark and others   
>>> > have suggested that the universe is an ensemble of mathematical   
>>> > objects, such as the ensemble of all computable structures defined   
>>> > in Model theory. 
>>> > 
>>> > Thanks to Bruno, I have had to go back to the drawing board several   
>>> > times, needing to completely scrap my ideas and start anew.  And I   
>>> > mean that sincerely. 
>>> > 
>>> > I have been working on something I call grammatical systems.  There   
>>> > already is a nice, neatly-formatted description of what I've got   
>>> > over at physicsforums.com.  I would appreciate your expert opinions   
>>> > on what I have done so far.  Now is a good time to have to scrap it   
>>> > and return to the drawing board as I have not yet gotten very far. 
>>> > 
>>> > Thanks in advance for any and all feedback.  Here is the link: 
>>> https://www.physicsforums.com/threads/a-generalization-of-formal-systems-grammatical-systems.812241/
>>>  
>>>
>>> I will take a look, and plausibly make some comments, perhaps out-of- 
>>> line. 
>>>
>>> Best, 
>>>
>>> Bruno 
>>>
>>>
>>>
>>>
>>> http://iridia.ulb.ac.be/~marchal/ 
>>>
>>>
>>>
>>>

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