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From: olcott <polcott333@gmail.com>
Newsgroups: sci.logic
Subject: Re: Minimal Logics in the 2020's: A Meteoric Rise
Date: Sat, 6 Jul 2024 21:51:08 -0500
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On 7/6/2024 9:16 PM, Richard Damon wrote:
> On 7/6/24 9:56 PM, olcott wrote:
>> On 7/6/2024 8:32 PM, Richard Damon wrote:
>>> On 7/6/24 9:06 PM, olcott wrote:
>>>> On 7/6/2024 6:28 PM, Richard Damon wrote:
>>>>> On 7/6/24 6:41 PM, olcott wrote:
>>>>>> On 7/6/2024 5:22 PM, Richard Damon wrote:
>>>>>>> On 7/6/24 6:08 PM, olcott wrote:
>>>>>>>> On 7/6/2024 4:02 PM, Richard Damon wrote:
>>>>>>>>> The problem here is you logic doesn't actually allow for the 
>>>>>>>>> necessaery references in it.
>>>>>>>>>
>>>>>>>> Not at all. My logic is simply smart enough to reject
>>>>>>>> non-truth-bearers AKA expressions that are not valid
>>>>>>>> propositions. It does not stupidly falsely assume that
>>>>>>>> every expression is a valid proposition.\
>>>>>>>
>>>>>>> Logic isn't "Smart", it follows its rules.
>>>>>>>
>>>>>>> Your rules are just inconsistent.
>>>>>>>
>>>>>>
>>>>>> When-so-ever true means provable and false means not provable
>>>>>> the meaning of these words proves that such a system cannot
>>>>>> get stuck in pathological expressions.
>>>>>
>>>>> And such a definition requires the system to be keep simple or it 
>>>>> becomes inconsistant.
>>>>>
>>>>>>
>>>>>> LP := ~True(LP) has a cycle in the directed
>>>>>> graph of the elements of the expression related
>>>>>> to each other that Prolog and MTT detects.
>>>>>>
>>>>>
>>>>> So, what value does True(LP) return?
>>>>>
>>>>
>>>> True(L,x)  means x is true.
>>>> ~True(L,x) means x is untrue which includes false and not a 
>>>> proposition.
>>>>
>>>> True(L,~x) means x is false.
>>>> ~True(L,~x) means x is unfalse which includes true and not a 
>>>> proposition.
>>>>
>>>> True(L,LP) is false and True(L,~LP) is false which means LP
>>>> is not a proposition.
>>>
>>> And if x is defined in L as ~True(L,x) means that True(L, x) is 
>>> false, then x being the negation of that result is a true statement.
>>>
>> *That is not the way it works in my system or Prolog*
>> ~True(L, x)  means x is either false or not a proposition
>> ~True(L, ~x) means x is either true or not a proposition
>>
>> Try reading those two lines 150 more times and maybe it will
>> break through your ADD. Alternatively you are simply a liar.
>>
>> It is something like trivalent logic {true, false, incorrect}
>> ~true is false or incorrect.
>> ~false is true or incorrect.
>>
> 
> So if x is defined in L as ~True(L, x)
> 
> what value does True(L, x) have?
> 

then True(L,x) evaluates to false ultimately meaning
that x is incorrect.

We can't know for sure that x is incorrect until
we see that True(L,~x) also evaluates to false.

-- 
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer