> On 10 Dec 2018, at 20:30, Philip Thrift <[email protected]> wrote:
> 
> 
> 
> On Monday, December 10, 2018 at 11:00:17 AM UTC-6, Bruno Marchal wrote:
> 
>> On 9 Dec 2018, at 21:02, Philip Thrift <[email protected] <javascript:>> 
>> wrote:
>> 
>> 
>> 
>> On Sunday, December 9, 2018 at 9:36:39 AM UTC-6, Jason wrote:
>> 
>> 
>> On Sun, Dec 9, 2018 at 2:53 AM Philip Thrift <[email protected] <>> wrote:
>> 
>> 
>> On Saturday, December 8, 2018 at 2:27:45 PM UTC-6, Jason wrote:
>> 
>> I think truth is primitive.
>> 
>> Jason
>> 
>> 
>> As a matter of linguistics (and philosophy),  truth and matter are linked:
>> 
>> "As a matter of fact, ..."
>> "The truth of the matter is ..."
>> "It matters that ..."
>> ...
>> [ https://www.etymonline.com/word/matter 
>> <https://www.etymonline.com/word/matter> ]
>> 
>> I agree they are linked.  Though matter may be a few steps removed from 
>> truth.  Perhaps one way to interpret the link more directly is thusly:
>> 
>> There is an equation whose every solution (where the equation happens to be 
>> true, e.g. is satisfied when it has certain values assigned to its 
>> variables) maps its variables to states of the time evolution of the wave 
>> function of our universe.  You might say that we (literally not 
>> figuratively) live within such an equation.  That its truth reifies what we 
>> call matter.
>> 
>> But I think truth plays an even more fundamental roll than this.  e.g. 
>> because the following statement is true "two has a successor" then there 
>> exists a successor to 2 distinct from any previous number.  Similarly, the 
>> truth of "9 is not prime" implies the existence of a factor of 9 besides 1 
>> and 9.
>> 
>> Jason
>> 
>> 
>>  
>> 
>> Schopenhauer 's view: "A judgment has material truth if its concepts are 
>> based on intuitive perceptions that are generated from sensations. If a 
>> judgment has its reason (ground) in another judgment, its truth is called 
>> logical or formal. If a judgment, of, for example, pure mathematics or pure 
>> science, is based on the forms (space, time, causality) of intuitive, 
>> empirical knowledge, then the judgment has transcendental truth."
>> [ https://en.wikipedia.org/wiki/Truth <https://en.wikipedia.org/wiki/Truth> ]
>> 
>> 
>> I guess I am referring to transcend truth here. Truth concerning the 
>> integers is sufficient to yield the universe, matter, and all that we see 
>> around us.
>> 
>> Jason
>> 
>> 
>> 
>> In my view there is basically just material (from matter) truth and 
>> linguistic (from language) truth.
> 
> Linguistic is concerned with grammar. To have a notion of truth, you need a 
> notion of reality, or semantic, or model (in the logician’s sense). 
> 
> 
> 
>> 
>> [ https://codicalist.wordpress.com/2018/06/18/to-tell-the-truth/ 
>> <https://codicalist.wordpress.com/2018/06/18/to-tell-the-truth/> ] 
>> 
>> Relations and functions are linguistic: relational type theory (RTT) , 
>> functional type theory (FTT) languages.
>> 
>> Numbers are also linguistic beings, the (fictional) semantic objects of 
>> Peano arithmetic (PA).
> 
> “Fictional” is a bad adjective as it enforces the choice of the ontology. I 
> understand that you believe in matter as a base. I can only wait for your 
> solution of the mind-body problem, but usually non-mechanist theories have a 
> tradition of being unclear (to say the least).
> 
> 
> 
> 
>> 
>> Numbers can be "materialized" via nominalization (cf. Hartry Field, refs. in 
>> [ https://en.wikipedia.org/wiki/Hartry_Field 
>> <https://en.wikipedia.org/wiki/Hartry_Field> ]).
> 
> 
> Please do it. That could be a good subject of Phd thesis in philosophy, but I 
> am not sure you have understand the main things about universal machine, 
> which is that we don’t understand them at all, we are just discovering them. 
> It put some mess in the arithmetical Platonia.
> 
> Bruno
> 
> 
> 
> 
> 
> 
> Language theory (both natural and programming) includes syntax, semantics, 
> pragmatics. 
> 
> The nominalization of scientific theories expressed in mathematical language 
> began with Field.
> 
> "Science Without Numbers" 
> https://books.google.com/books/about/Science_Without_Numbers.html?id=Exc1DQAAQBAJ
> 
> "Progress in Field’s Nominalistic Program"
> http://philsci-archive.pitt.edu/13083/1/Chen_Intrinsic_Nom_QM.pdf
> 
> In this paper, I introduce an intrinsic account of the quantum state.


So we are already put of the computationalist hypothesis.

Bruno



> This account contains three desirable features that the standard platonistic 
> account lacks: (1) it does not refer to any abstract mathematical objects 
> such as complex numbers, (2) it is independent of the usual arbitrary 
> conventions in the wave function representation, and (3) it explains why the 
> quantum state has its amplitude and phase degrees of freedom.
> 
> 
> Consequently, this account extends Hartry Field’s program outlined in Science 
> Without Numbers (1980), responds to David Malament’s long-standing 
> impossibility conjecture (1982), and establishes an important first step 
> towards a genuinely intrinsic and nominalistic account of quantum mechanics.
> 
> 
> One way to nominalize (mathematical) theories expressed in first-order 
> languages is via the finitization of Jan Mycielski.
> 
> - pt
> 
> 
> 
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