> On 4 Dec 2018, at 02:46, Brent Meeker <[email protected]> wrote:
> 
> 
> 
> On 12/3/2018 9:59 AM, Philip Thrift wrote:
>> But that is close to the solipsist move. The fact that we cannot define 
>> truth does not entail that some notion of truth does not make sense. In 
>> particular, Peano arithmetic can already define an infinity of approximation 
>> of truth, namely sigma_i and pi_i truth (the truth of the sentences will a 
>> finite and fixed number of quantifier, as opposed to finite sentences with 
>> an arbitrary finite number of quantifier).
>> 
>> We can invoke truth, but we can develop meta-discourse relating truth to 
>> theories, like we cannot invoke our own consciousness does not prevent us to 
>> try theories about it. 
>> It is a bit like “I cannot study my own brain”, but I can still infer some 
>> theories of my brain by looking at the brain of others and then assuming 
>> that I am not different.
> 
> So are do these theories produce true or false propositions?

You quote me (Bruno), here.

You are the judge. In our (mechanist) case, this follows from elementary 
arithmetic.





> 
>> 
>> Bruno
>> 
>> 
>> 
>>  
>> A different perspective (!) of "truth" comes from - vs. PA (Peano 
>> arithmetic) - PLT (programming language theory - the legacy to a large 
>> extent of John C. Reynolds [ https://en.wikipedia.org/wiki/John_C._Reynolds 
>> <https://en.wikipedia.org/wiki/John_C._Reynolds> - who was originally a 
>> theoretical physicist ], and sort of in parallel the whole type-theory 
>> gang). Rather than an external "god-like" notion of truth, truth is in the 
>> programming.
>> 
>> - pt
>> 
>> 
> Can you give an example of "truth in the programming" and how it differs from 
> the mathematical idea of true and the correspondence theory of truth?


I let Philip Thrift answer this one. I use always Tarski’s theory 
(correspondence with respect to some model/reality assumed).

Bruno 



> 
> Brent
> 
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