> On 23 May 2019, at 11:14, Quentin Anciaux <[email protected]> wrote:
> 
> Are you able to discuss without insulting people every email you're writing ? 
> What do you expect to gain being rude ?

Yes, it is bit distracting. It is not even clear to whom the insult are 
addressed.

Cosmin, ask question, it is simpler that way. You can read the papers also.

Bruno


> 
> Le jeu. 23 mai 2019 à 10:28, 'Cosmin Visan' via Everything List 
> <[email protected] <mailto:[email protected]>> 
> a écrit :
> I don't understand anything from what you are saying. Probably you are just 
> too smart that few people can understand you. I hope that is the case, and 
> not the second option in which you just randomly say fancy words just to 
> impress people.
> 
> On Friday, 17 May 2019 21:36:50 UTC+3, [email protected] 
> <mailto:[email protected]> wrote:
> Complexity challenges us all, and the few are able to successfully rise to 
> the challenge. For me, the mathematically gifted are indeed a successor 
> species!
> 
> 
> -----Original Message-----
> From: Bruno Marchal <[email protected] <>>
> To: everything-list <[email protected] <>>
> Sent: Fri, May 17, 2019 8:34 am
> Subject: Re: My book "I Am" published on amazon
> 
> 
>> On 15 May 2019, at 17:41, spudboy100 via Everything List 
>> <[email protected] <>> wrote:
>> 
>> Some years ago, some astronomer or cosmologist introduced the idea of One 
>> Gigantic Universe, but many, many, "domains," which, for me, is the same 
>> thing as Everett's-Deutsch's-Tegmark's multiverses. I am not sure if all 
>> domains followed the identical laws, or varied, or..?
> 
> With mechanism, what exists are the numbers. The (halting) computations are 
> enough for the ontology, and their existence are assured by RA (the weaker 
> Turing universal theory with finitely many axioms).
> 
> To compare with physical brother mathematical notion of multiverse remains to 
> be done by the future generations. It is  complex subject. 
> 
> Bruno
> 
> 
> 
> 
>> 
>> 
>> -----Original Message-----
>> From: Bruno Marchal <[email protected] <>>
>> To: everything-list <[email protected] <>>
>> Sent: Wed, May 15, 2019 11:31 am
>> Subject: Re: My book "I Am" published on amazon
>> 
>> 
>>> On 13 May 2019, at 08:55, Philip Thrift <[email protected] <>> wrote:
>>> 
>>> 
>>> 
>>> On Sunday, May 12, 2019 at 9:40:12 PM UTC-5, Jason wrote:
>>> 
>>> 
>>> 
>>> Incompleteness disproves nominalism.  Arithmetical truth was proven not 
>>> only to be not human defined, but to be not human definable.
>>> 
>>> 
>>> 
>>> (This is something I posted a few days ago in another forum.)
>>> 
>>> From Joel David Hamkins @JDHamkins - http://jdh.hamkins.org/ 
>>> <http://jdh.hamkins.org/>
>>> 
>>> "Truths" in the set-theoretic multiverse (slides from a talk last week):
>>> 
>>> http://jdh.hamkins.org/wp- content/uploads/Is-there-more- 
>>> than-one-mathematical- universe.pdf 
>>> <http://jdh.hamkins.org/wp-content/uploads/Is-there-more-than-one-mathematical-universe.pdf>
>>> 
>>> 
>>> The final slides:
>>> 
>>> ----
>>> 
>>> The Continuum Hypothesis is settled
>>> 
>>> On the multiverse perspective, the CH question is settled.
>>> It is incorrect to describe it as an open question.
>>> 
>>> The answer consists of our detailed understanding of how the
>>> CH both holds and fails throughout the multiverse, of how these
>>> models are connected and how one may reach them from each
>>> other while preserving or omitting certain features.
>>> 
>>> Fascinating open questions about CH remain, of course, but the
>>> most important essential facts are known.
>>> 
>>> Ultimately, the question becomes: do we have just one
>>> mathematical world or many
>>> 
>>> ----
>>> 
>>> Mathematics is a language - with multiple dialects.
>>> 
>>>          Each dialect of mathematics has its own syntax (to some extent) 
>>> and semantics!
>> 
>> If it has a semantic, it is not just a language, there is a 
>> reality/model/semantic, and we have to distinguish languages and possible 
>> theories on that reality.
>> 
>> It is obvious (for a mathematical logician) that there are many mathematical 
>> worlds, but like in physics, this does not interfere with realism, on the 
>> contrary. Now, I use only arithmetical realism, on which everybody agree. 
>> The standard arithmetical truth is definable with a bit of set theory, on 
>> which most people agree (as it is the intersection of all models of the 
>> theories RA or PA). That is as acceptable as any theorem in analysis. With 
>> Mechanism, Analysis, and physics, remains full of sense, but have became 
>> phenomenological. 
>> 
>> 
>>> 
>>> 
>>> 
>>> There is no settled "truth" in mathematics.
>>> 
>>> For example (as Hamkins shows) the CH is true in one dialect (of set 
>>> theory) and false in another.
>> 
>> That was shown by Cohen and Gödel.
>> 
>> Interestingly, ZFC and ZF + CH does not prove more arithmetical propositions 
>> than ZF alone. The arithmetical truth is totally independent of the axiom of 
>> choice or the continuum hypotheses.
>> 
>> Now, ZF proves much more theorems in arithmetic than PA, which proves much 
>> more than RA. 
>> 
>> Bruno
>> 
>> 
>> 
>>> 
>>> @philipthrift
>>> 
>>> 
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