On Tuesday, December 4, 2018 at 10:40:36 PM UTC-6, Philip Thrift wrote:
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>
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> On Tuesday, December 4, 2018 at 4:50:22 PM UTC-6, Brent wrote:
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>>
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>> On 12/4/2018 11:50 AM, Philip Thrift wrote:
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>> On Tuesday, December 4, 2018 at 1:46:44 PM UTC-6, Brent wrote: 
>>>
>>>
>>>
>>> On 12/4/2018 12:06 AM, Philip Thrift wrote:
>>>
>>> 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?
>>>>
>>>> Brent
>>>>
>>>
>>>
>>>
>>> Truth in programming follows the Brouwerian concept of truth:
>>> [ https://plato.stanford.edu/entries/brouwer/ ]
>>>
>>>  
>>>
>>> *There is no determinant of mathematical truth outside the activity of 
>>> thinking; a proposition only becomes true when the subject has experienced 
>>> its truth (by having carried out an appropriate mental construction); 
>>> similarly, a proposition only becomes false when the subject has 
>>> experienced its falsehood (by realizing that an appropriate mental 
>>> construction is not possible).*
>>>
>>> *There is no determinant of mathematical truth outside the activity of 
>>> computing;* a proposition only becomes true when the program has 
>>> produced  its truth (by having carried out an appropriate computational 
>>> construction); similarly, a proposition only becomes false when the program 
>>> has produced its falsehood (by computing that an appropriate computational 
>>> construction is not possible). 
>>>
>>>
>>> I didn't ask for examples of circular definitions.
>>>
>>> Brent
>>>
>>
>>
>>
>> In what sense is type theory circular logic? 
>>
>>
>> First, I didn't ask for a logic, I asked for examples to the different 
>> ideas of truth.  Instead you provided some assertions about "where truth is 
>> determined" and about becoming true...which were circular.
>>
>> "a proposition only becomes* true* when the subject has experienced its 
>> *truth*"
>>
>> " a proposition only becomes *true* when the program has produced  its 
>> *truth*" 
>>
>> Third, neither your post nor the article on Brouwer said anything about 
>> type theory.
>> https://plato.stanford.edu/entries/type-theory-intuitionistic/
>>
>> Brent
>>
>
>
> The simple way to put it:
>
>      Write a *Lisp* program *p*.
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>      If *p* returns nil, pi is false.
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         If *p* returns nil, *p* is false. 
          

>
>      If *p *returns anything else, *p* is true.
>
> That's all you need to know about truth.
>
> - pt
>

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