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Groups > comp.theory > #106984
| From | Mikko <mikko.levanto@iki.fi> |
|---|---|
| Newsgroups | comp.theory |
| Subject | Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works |
| Date | 2024-06-12 16:41 +0300 |
| Organization | - |
| Message-ID | <v4c8hm$1m8ib$1@dont-email.me> (permalink) |
| References | (7 earlier) <v473en$ggn5$3@dont-email.me> <v48vbe$us2b$1@dont-email.me> <v49sla$14ek5$1@dont-email.me> <v4bhqr$1hqq1$1@dont-email.me> <v4c587$1lec5$1@dont-email.me> |
On 2024-06-12 12:44:55 +0000, olcott said:
> On 6/12/2024 2:13 AM, Mikko wrote:
>> On 2024-06-11 16:06:02 +0000, olcott said:
>>
>>> On 6/11/2024 2:45 AM, Mikko wrote:
>>>> On 2024-06-10 14:43:34 +0000, olcott said:
>>>>
>>>>> On 6/10/2024 2:13 AM, Mikko wrote:
>>>>>> On 2024-06-09 18:40:16 +0000, olcott said:
>>>>>>
>>>>>>> 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.
>>>>>>
>>>>>> A formal system can be inconsistent without being incorrect.
>>>>>
>>>>> *Three laws of logic apply to all propositions*
>>>>> ¬(p ∧ ¬p) Law of non-contradiction
>>>>> (p ∨ ¬p) Law of excluded middle
>>>>> p = p Law of identity
>>>>> *No it cannot*
>>>>
>>>> Those laws do not constrain formal systems. Each formal system specifies
>>>> its own laws, which include all or some or none of those. Besides, a the
>>>> word "proposition" need not be and often is not used in the specification
>>>> of a formal system.
>>>>
>>>
>>> *This is the way that truth actually works*
>>
>> As far as is empirially known. But a formal system is not limited by
>> the limitations of our empirical knowledge.
>
> If there really is nothing anywhere that makes expression
> of language X true then X is untrue.
That does not restrict what a formal system can say.
--
Mikko
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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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