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Groups > comp.theory > #106889
| From | olcott <polcott333@gmail.com> |
|---|---|
| Newsgroups | comp.theory, sci.logic |
| Subject | Re: Truthmaker Maximalism and undecidable decision problems |
| Date | 2024-06-10 09:52 -0500 |
| Organization | A noiseless patient Spider |
| Message-ID | <v47402$ggn5$4@dont-email.me> (permalink) |
| References | (6 earlier) <v44toi$3egp9$13@i2pn2.org> <v44ujh$3m841$6@dont-email.me> <v4508h$3egpa$11@i2pn2.org> <v45pfb$3ph0$1@dont-email.me> <v469de$8n5s$1@dont-email.me> |
Cross-posted to 2 groups.
On 6/10/2024 2:19 AM, Mikko wrote:
> On 2024-06-10 02:47:07 +0000, olcott said:
>
>> On 6/9/2024 2:36 PM, Richard Damon wrote:
>>> On 6/9/24 3:08 PM, olcott wrote:
>>>> On 6/9/2024 1:54 PM, Richard Damon wrote:
>>>>> On 6/9/24 2:40 PM, olcott wrote:
>>>>>> On 6/9/2024 1:29 PM, Richard Damon wrote:
>>>>>>> On 6/9/24 2:13 PM, olcott wrote:
>>>>>>>> On 6/9/2024 1:08 PM, Richard Damon wrote:
>>>>>>>>> On 6/9/24 1:18 PM, olcott wrote:
>>>>>>>>>> On 6/9/2024 10:36 AM, olcott wrote:
>>>>>>>>>>> *This has direct application to undecidable decision problems*
>>>>>>>>>>>
>>>>>>>>>>> When we ask the question: What is a truthmaker? The generic
>>>>>>>>>>> answer is
>>>>>>>>>>> whatever makes an expression of language true <is> its
>>>>>>>>>>> truthmaker. This
>>>>>>>>>>> entails that if there is nothing in the universe that makes
>>>>>>>>>>> expression X
>>>>>>>>>>> true then X lacks a truthmaker and is untrue.
>>>>>>>>>>>
>>>>>>>>>>> X may be untrue because X is false. In that case ~X has a
>>>>>>>>>>> truthmaker.
>>>>>>>>>>> Now we have the means to unequivocally define truth-bearer. X
>>>>>>>>>>> is a
>>>>>>>>>>> truth-bearer iff (if and only if) X or ~X has a truthmaker.
>>>>>>>>>>>
>>>>>>>>>>> I have been working in this same area as a non-academician
>>>>>>>>>>> for a few
>>>>>>>>>>> years. I have only focused on expressions of language that
>>>>>>>>>>> are {true on
>>>>>>>>>>> the basis of their meaning}.
>>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> Now that truthmaker and truthbearer are fully anchored it is
>>>>>>>>>> easy to see
>>>>>>>>>> that self-contradictory expressions are simply not truthbearers.
>>>>>>>>>>
>>>>>>>>>> “This sentence is not true” can't be true because that would
>>>>>>>>>> make it
>>>>>>>>>> untrue and it can't be false because that would make it true.
>>>>>>>>>>
>>>>>>>>>> Within the the definition of truthmaker specified above: “this
>>>>>>>>>> sentence
>>>>>>>>>> has no truthmaker” is simply not a truthbearer. It can't be
>>>>>>>>>> true within
>>>>>>>>>> the above specified definition of truthmaker because this
>>>>>>>>>> would make it
>>>>>>>>>> false. It can't be false because that makes
>>>>>>>>>> it true.
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>
>>>>>>>>> Unless the system is inconsistent, in which case they can be.
>>>>>>>>>
>>>>>>>>> Note,
>>>>>>>>
>>>>>>>> When I specify the ultimate foundation of all truth then this
>>>>>>>> does apply to truth in logic, truth in math and truth in science.
>>>>>>>
>>>>>>> Nope. Not for Formal system, which have a specific definition of
>>>>>>> its truth-makers, unless you let your definition become trivial
>>>>>>> for Formal logic where a "truth-makers" is what has been defined
>>>>>>> to be the "truth-makers" for the system.
>>>>>>>
>>>>>>
>>>>>> Formal systems are free to define their own truthmakers.
>>>>>> When these definitions result in inconsistency they are
>>>>>> proved to be incorrect.
>>>>>
>>>>> So, you admit that your definition is just inconsistant, as it says
>>>>> FOR ALL and then you admit it isn't FOR ALL
>>>>>
>>>>> And a formal system proven inconsistant isn't necessarily
>>>>> incorrect, just inconsistent.
>>>>>
>>>>
>>>> To the extent that they define inconsistency they
>>>> are not truth-makers.
>>>
>>>
>>> YOU hae a TYPE ERROR in your statement.
>>>
>>> That just proves that YOUR logic is incorrect.
>>>
>>> How can a SYSTEM be a propsition?
>>>
>>
>> *Stopping at your first big mistake*
>>
>> When we ask the question: What is a truthmaker? The generic answer is
>> whatever makes an expression of language true <is> its truthmaker.
>>
>> A cat in your living room is not a proposition yet makes the
>> sentence: "there is a cat in my living room" true, thus <is> its
>> truthmaker.
>
> With that interpretation an inconsistent system is a truthmaker as it
> makes the sentence "the system is inconsistent" true. And so is everything
> else that one can mention so the word "truthmaker" does not really mean
> anything.
>
"the system is inconsistent" TWO ISOMORPHIC EXAMPLES ARE PROVIDED
When we ask the question: What is a truthmaker? The generic answer is
whatever makes an expression of language true <is> its truthmaker.
This entails that if there is nothing in the universe that makes
expression X true then X lacks a truthmaker and is untrue.
“This sentence is not true” can't be true because that would make it
untrue and it can't be false because that would make it true.
Within the definition of truthmaker specified above: “this sentence has
no truthmaker” is simply not a truthbearer. It can't be true within the
above specified definition of truthmaker because this would make it
false. It can't be false because that makes it true.
"the system is inconsistent" is too vague, what system?
Truthmakers simultaneously refer the entire universe of
all true statements. I already handled the key most important
counter-example in all of the literature on Truthmaker Maximalism:
“this sentence has no truthmaker”
--
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer
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Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-09 10:36 -0500
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-09 12:18 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-09 14:08 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-09 13:13 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-09 14:29 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-09 13:40 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-09 14:54 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-09 14:08 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-09 15:36 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-09 21:47 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-09 22:56 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-09 22:12 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-10 07:16 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-10 11:09 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-10 23:32 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-11 12:30 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-11 19:22 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-11 20:43 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-11 22:34 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-11 21:58 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-11 23:01 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-11 22:20 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-12 07:33 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-12 10:40 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-12 19:49 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-12 19:44 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-12 20:57 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-12 20:37 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-12 21:53 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-12 21:01 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-12 22:21 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-12 21:32 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-12 22:42 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-12 21:53 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-12 23:15 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-12 22:17 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-12 23:51 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-12 23:01 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-13 07:30 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-13 08:32 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-13 22:45 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-13 22:50 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-14 07:39 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-14 08:58 -0500
Re: Truthmaker Maximalism and undecidable decision problems Mikko <mikko.levanto@iki.fi> - 2024-06-10 10:19 +0300
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-10 09:52 -0500
Re: Truthmaker Maximalism and undecidable decision problems Mikko <mikko.levanto@iki.fi> - 2024-06-11 10:57 +0300
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-09 23:00 -0400
Re: Truthmaker Maximalism and undecidable decision problems Mikko <mikko.levanto@iki.fi> - 2024-06-10 10:13 +0300
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-10 09:43 -0500
Re: Truthmaker Maximalism and undecidable decision problems Mikko <mikko.levanto@iki.fi> - 2024-06-11 10:45 +0300
Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works olcott <polcott333@gmail.com> - 2024-06-11 11:06 -0500
Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works Richard Damon <richard@damon-family.org> - 2024-06-11 21:44 -0400
Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works olcott <polcott333@gmail.com> - 2024-06-11 20:57 -0500
Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works Richard Damon <richard@damon-family.org> - 2024-06-11 22:37 -0400
Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works olcott <polcott333@gmail.com> - 2024-06-11 22:17 -0500
Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works Richard Damon <richard@damon-family.org> - 2024-06-12 07:33 -0400
Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works olcott <polcott333@gmail.com> - 2024-06-12 08:05 -0500
Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works Richard Damon <richard@damon-family.org> - 2024-06-12 19:55 -0400
Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works olcott <polcott333@gmail.com> - 2024-06-12 20:16 -0500
Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works Richard Damon <richard@damon-family.org> - 2024-06-12 21:48 -0400
Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works Mikko <mikko.levanto@iki.fi> - 2024-06-12 10:13 +0300
Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works olcott <polcott333@gmail.com> - 2024-06-12 07:44 -0500
Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works Mikko <mikko.levanto@iki.fi> - 2024-06-12 16:41 +0300
Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works olcott <polcott333@gmail.com> - 2024-06-12 09:08 -0500
Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works Mikko <mikko.levanto@iki.fi> - 2024-06-12 19:45 +0300
Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works olcott <polcott333@gmail.com> - 2024-06-12 12:00 -0500
Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works Mikko <mikko.levanto@iki.fi> - 2024-06-13 09:17 +0300
Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works olcott <polcott333@gmail.com> - 2024-06-13 07:21 -0500
Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works Mikko <mikko.levanto@iki.fi> - 2024-06-13 18:40 +0300
Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works olcott <polcott333@gmail.com> - 2024-06-13 11:17 -0500
Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works Richard Damon <richard@damon-family.org> - 2024-06-13 22:48 -0400
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-11 21:44 -0400
Re: Truthmaker Maximalism and undecidable decision problems joes <noreply@example.com> - 2024-06-09 17:40 +0000
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-09 12:52 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-09 14:08 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-09 13:10 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-09 14:31 -0400
Re: Truthmaker Maximalism and undecidable decision problems olcott <polcott333@gmail.com> - 2024-06-09 13:48 -0500
Re: Truthmaker Maximalism and undecidable decision problems Richard Damon <richard@damon-family.org> - 2024-06-09 14:57 -0400
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