> On 5 Nov 2018, at 18:05, Philip Thrift <cloudver...@gmail.com> wrote:
> 
> 
> 
> On Friday, November 2, 2018 at 3:47:58 AM UTC-5, Bruno Marchal wrote:
> 
>> On 1 Nov 2018, at 19:59, Philip Thrift <cloud...@gmail.com <javascript:>> 
>> wrote:
>> 
>> 
>> 
>> On Thursday, November 1, 2018 at 1:44:19 PM UTC-5, John Clark wrote:
>> 
>> On Thu, Nov 1, 2018 at 2:27 PM Philip Thrift <cloud...@gmail.com <>> wrote:
>> 
>> > infinite time Turing machines are more powerful than ordinary Turing 
>> > machines
>> 
>> That is true, it is also true that if dragons existed they would be 
>> dangerous and if I had some cream I could have strawberries and cream, if I 
>> had some strawberries.   
>> 
>> > How  "real" you think this is depends on whether you are a Platonist or a 
>> > fictionalist.
>> 
>> No, it depends on if you think logical contradictions can exist, if they can 
>> then there is no point in reading any mathematical proof and logic is no 
>> longer a useful tool for anything.
>> 
>> John K Clark
>> 
>> 
>> 
>> Of course logics are fiction too. (They're just languages after all.)
> 
> 
> There is a logical language, but that is different from a logical theory. It 
> is important to distinguish the languages from the theories, and the theories 
> from the models/interpretations.
> 
> Bruno
> 
> 
> 
>  
> Logics correspond to type-theoretic programming languages.

?

That would restrict the meaning of logic to the logic obtained by the 
Curry-Howard morphism. There is no compelling reason to do that.

Bruno




> 
> - pt
> 
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