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Path: ...!news.misty.com!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: Richard Damon <richard@damon-family.org> Newsgroups: comp.theory Subject: Re: Truthmaker Maximalism and undecidable decision problems --- the way truth really works Date: Thu, 13 Jun 2024 22:48:44 -0400 Organization: i2pn2 (i2pn.org) Message-ID: <v4gb2c$3tn6r$5@i2pn2.org> References: <v44i60$3jnc8$1@dont-email.me> <v44o5t$3l9t2$1@dont-email.me> <v44r29$3egpa$5@i2pn2.org> <v44rd0$3m841$2@dont-email.me> <v44sa5$3egpa$10@i2pn2.org> <v44suh$3m841$4@dont-email.me> <v4693h$8jv1$1@dont-email.me> <v473en$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> <v4c8hm$1m8ib$1@dont-email.me> <v4ca5c$1mi5i$1@dont-email.me> <v4cjau$1ob9b$1@dont-email.me> <v4ck7s$1o4b4$3@dont-email.me> <v4e2u8$24lla$1@dont-email.me> <v4eo87$28g4v$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Fri, 14 Jun 2024 02:48:45 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="4119771"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird X-Spam-Checker-Version: SpamAssassin 4.0.0 In-Reply-To: <v4eo87$28g4v$1@dont-email.me> Content-Language: en-US Bytes: 7735 Lines: 146 On 6/13/24 8:21 AM, olcott wrote: > On 6/13/2024 1:17 AM, Mikko wrote: >> On 2024-06-12 17:00:44 +0000, olcott said: >> >>> On 6/12/2024 11:45 AM, Mikko wrote: >>>> On 2024-06-12 14:08:43 +0000, olcott said: >>>> >>>>> On 6/12/2024 8:41 AM, Mikko wrote: >>>>>> 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. >>>>> >>>>> If a formal system says: >>>>> "cats <are> fifteen story office buildings" >>>>> this formal system is wrong. >>>> >>>> No, it is not. If you inteprete a sentence of that language >>> >>> *Correct interpretation is hardwired into the formal language* >>> {cats} and {office buildings} are specified by 128-bit GUIDs. >> >> Both of those claims are false about typical formal systems. >> > > When we define formal systems this way all ambiguity and vagueness is > eliminated. This is best exemplified in formalized English. > > When I say I am going to drive my {cat}. this could mean > Transport(pet, veterinarian) operate(earth_moving_equipment). > When each sense meaning of every term has its own GUID then we > don't have to "interpret" what is mean this is fully specified. > Yes, English (or Natural Langage in general) is a very bad basis to Formaliz a system on, as the word shave too many ambiquities in meaning. Which is why they tend to develop a very FORMAL (i.e. not Natural) Language to express themselves in. Your problem is you never learned the formal meaning, so you keep on misinterpreting the words.