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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: olcott <polcott333@gmail.com>
Newsgroups: sci.logic
Subject: Re: True on the basis of meaning --- Good job Richard ! ---Socratic
 method (agreement)
Date: Wed, 22 May 2024 10:55:39 -0500
Organization: A noiseless patient Spider
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On 5/22/2024 2:57 AM, Mikko wrote:
> On 2024-05-21 14:36:29 +0000, olcott said:
> 
>> On 5/21/2024 3:05 AM, Mikko wrote:
>>> On 2024-05-20 17:48:40 +0000, olcott said:
>>>
>>>> On 5/20/2024 2:55 AM, Mikko wrote:
>>>>> On 2024-05-19 14:15:51 +0000, olcott said:
>>>>>
>>>>>> On 5/19/2024 9:03 AM, Mikko wrote:
>>>>>>> On 2024-05-19 13:41:56 +0000, olcott said:
>>>>>>>
>>>>>>>> On 5/19/2024 6:55 AM, Richard Damon wrote:
>>>>>>>>> On 5/18/24 11:47 PM, olcott wrote:
>>>>>>>>>> On 5/18/2024 6:04 PM, Richard Damon wrote:
>>>>>>>>>>> On 5/18/24 6:47 PM, olcott wrote:
>>>>>>>>>>>> On 5/18/2024 5:22 PM, Richard Damon wrote:
>>>>>>>>>>>>> On 5/18/24 4:00 PM, olcott wrote:
>>>>>>>>>>>>>> On 5/18/2024 2:57 PM, Richard Damon wrote:
>>>>>>>>>>>>>>> On 5/18/24 3:46 PM, olcott wrote:
>>>>>>>>>>>>>>>> On 5/18/2024 12:38 PM, Richard Damon wrote:
>>>>>>>>>>>>>>>>> On 5/18/24 1:26 PM, olcott wrote:
>>>>>>>>>>>>>>>>>> On 5/18/2024 11:56 AM, Richard Damon wrote:
>>>>>>>>>>>>>>>>>>> On 5/18/24 12:48 PM, olcott wrote:
>>>>>>>>>>>>>>>>>>>> On 5/18/2024 9:32 AM, Richard Damon wrote:
>>>>>>>>>>>>>>>>>>>>> On 5/18/24 10:15 AM, olcott wrote:
>>>>>>>>>>>>>>>>>>>>>> On 5/18/2024 7:43 AM, Richard Damon wrote:
>>>>>>>>>>>>>>>>>>>>>>> No, your system contradicts itself.
>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>> You have never shown this.
>>>>>>>>>>>>>>>>>>>>>> The most you have shown is a lack of understanding 
>>>>>>>>>>>>>>>>>>>>>> of the
>>>>>>>>>>>>>>>>>>>>>> Truth Teller Paradox.
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>> No, I have, but you don't understand the proof, it 
>>>>>>>>>>>>>>>>>>>>> seems because you don't know what a "Truth 
>>>>>>>>>>>>>>>>>>>>> Predicate" has been defined to be.
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>> My True(L,x) predicate is defined to return true or 
>>>>>>>>>>>>>>>>>>>> false for every
>>>>>>>>>>>>>>>>>>>> finite string x on the basis of the existence of a 
>>>>>>>>>>>>>>>>>>>> sequence of truth
>>>>>>>>>>>>>>>>>>>> preserving operations that derive x from
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>> And thus, When True(L, p) established a sequence of 
>>>>>>>>>>>>>>>>>>> truth preserving operations eminationg from ~True(L, 
>>>>>>>>>>>>>>>>>>> p) by returning false, it contradicts itself. The 
>>>>>>>>>>>>>>>>>>> problem is that True, in making an answer of false, 
>>>>>>>>>>>>>>>>>>> has asserted that such a sequence exists.
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>> On 5/13/2024 9:31 PM, Richard Damon wrote:
>>>>>>>>>>>>>>>>>>  > On 5/13/24 10:03 PM, olcott wrote:
>>>>>>>>>>>>>>>>>>  >> On 5/13/2024 7:29 PM, Richard Damon wrote:
>>>>>>>>>>>>>>>>>>  >>>
>>>>>>>>>>>>>>>>>>  >>> Remember, p defined as ~True(L, p) ...
>>>>>>>>>>>>>>>>>>  >>
>>>>>>>>>>>>>>>>>>  >> Can a sequence of true preserving operations applied
>>>>>>>>>>>>>>>>>>  >> to expressions that are stipulated to be true 
>>>>>>>>>>>>>>>>>> derive p?
>>>>>>>>>>>>>>>>>>  > No, so True(L, p) is false
>>>>>>>>>>>>>>>>>>  >>
>>>>>>>>>>>>>>>>>>  >> Can a sequence of true preserving operations applied
>>>>>>>>>>>>>>>>>>  >> to expressions that are stipulated to be true 
>>>>>>>>>>>>>>>>>> derive ~p?
>>>>>>>>>>>>>>>>>>  >
>>>>>>>>>>>>>>>>>>  > No, so False(L, p) is false,
>>>>>>>>>>>>>>>>>>  >
>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>> *To help you concentrate I repeated this*
>>>>>>>>>>>>>>>>>> The Liar Paradox and your formalized Liar Paradox both
>>>>>>>>>>>>>>>>>> contradict themselves that is why they must be screened
>>>>>>>>>>>>>>>>>> out as type mismatch error non-truth-bearers *BEFORE 
>>>>>>>>>>>>>>>>>> THAT OCCURS*
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>> And the Truth Predicate isn't allowed to "filter" out 
>>>>>>>>>>>>>>>>> expressions.
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> YOU ALREADY KNOW THAT IT DOESN'T
>>>>>>>>>>>>>>>> WE HAVE BEEN OVER THIS AGAIN AND AGAIN
>>>>>>>>>>>>>>>> THE FORMAL SYSTEM USES THE TRUE AND FALSE PREDICATE
>>>>>>>>>>>>>>>> TO FILTER OUT TYPE MISMATCH ERROR
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> The first thing that the formal system does with any
>>>>>>>>>>>>>>>> arbitrary finite string input is see if it is a 
>>>>>>>>>>>>>>>> Truth-bearer:
>>>>>>>>>>>>>>>> Truthbearer(L,x) ≡ (True(L,x) ∨ True(L,~x))
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> No, we can ask True(L, x) for any expression x and get an 
>>>>>>>>>>>>>>> answer.
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> The system is designed so you can ask this, yet 
>>>>>>>>>>>>>> non-truth-bearers
>>>>>>>>>>>>>> are rejected before True(L, x) is allowed to be called.
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>> Not allowed.
>>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>> My True(L,x) predicate is defined to return true or false 
>>>>>>>>>>>> for every
>>>>>>>>>>>> finite string x on the basis of the existence of a sequence 
>>>>>>>>>>>> of truth
>>>>>>>>>>>> preserving operations that derive x from
>>>>>>>>>>>>
>>>>>>>>>>>> A set of finite string semantic meanings that form an accurate
>>>>>>>>>>>> verbal model of the general knowledge of the actual world that
>>>>>>>>>>>> form a finite set of finite strings that are stipulated to have
>>>>>>>>>>>> the semantic value of Boolean true.
>>>>>>>>>>>>
>>>>>>>>>>>> *This is computable* Truthbearer(L,x) ≡ (True(L,x) ∨ 
>>>>>>>>>>>> True(L,~x))
>>>>>>>>>>>> *This is computable* Truthbearer(L,x) ≡ (True(L,x) ∨ 
>>>>>>>>>>>> True(L,~x))
>>>>>>>>>>>> *This is computable* Truthbearer(L,x) ≡ (True(L,x) ∨ 
>>>>>>>>>>>> True(L,~x))
>>>>>>>>>>>> *This is computable* Truthbearer(L,x) ≡ (True(L,x) ∨ 
>>>>>>>>>>>> True(L,~x))
>>>>>>>>>>>> *This is computable* Truthbearer(L,x) ≡ (True(L,x) ∨ 
>>>>>>>>>>>> True(L,~x))
>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>> So, for a statement x to be false, it says that there must be 
>>>>>>>>>>> a sequence of truth perserving operations that derive ~x 
>>>>>>>>>>> from, right?
>>>>>>>>>>>
>>>>>>>>>> Yes we must build from mutual agreement, good.
>>>>>>>>>>
>>>>>>>>>>> So do you still say that for p defined in L as ~True(L, p) 
>>>>>>>>>>> that your definition will say that True(L, p) will return false?
>>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> It is the perfectly isomorphic to this:
>>>>>>>>>> True(English, "This sentence is not true")
>>>>>>>>>>
>>>>>>>>>
>>>>>>>>>
>>>>>>>>> Nope, Because "This sentece is not true" can be a 
>>>>>>>>> non-truth-bearer, but by its definition, True(L, x) can not.
>>>>>>>>>
>>>>>>>>
>>>>>>>> True(L,x) is always a truth bearer.
>>>>>>>> when x is defined as True(L,x) then x is not a truth bearer.
>>>>>>>
>>>>>>> When x is defined as True(L,x) then x is what True(L,x) is,
>>>>>>> in this case a truth bearer.
>>>>>
>>>>>> This is known as the Truth Teller Paradox
>>>>>
>>>>> Doesn't matter. But ir you say that "x is not a truth bearer" then,
>>>>> by a truth preserving transformation, you imply that True(L,x) is
>>>>
>>>> True(English, "a cat is an animal) is true
>>>> LP := ~True(L, LP) expands to ~True(~True(~True(~True(...))))
>>>
>>> No, it doesn't. It is a syntax error to have the same symbol on
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