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Path: ...!weretis.net!feeder9.news.weretis.net!news.nk.ca!rocksolid2!i2pn2.org!.POSTED!not-for-mail From: Richard Damon <richard@damon-family.org> Newsgroups: sci.logic Subject: Re: How a True(X) predicate can be defined for the set of analytic knowledge Date: Fri, 21 Mar 2025 20:50:25 -0400 Organization: i2pn2 (i2pn.org) Message-ID: <cc75e1bdfa918eedc80a9230b0484acda284dc56@i2pn2.org> References: <vrfvbd$256og$2@dont-email.me> <3cf0a34d9382774fd8275a118d1af8b0841c8eb1@i2pn2.org> <vrhacd$3fbja$1@dont-email.me> <vrj8nr$16c78$1@dont-email.me> <vrjmtr$1ilbe$1@dont-email.me> <7d0164a6001fc519a244b7ed4930d757b9bd7ac1@i2pn2.org> <vrl0tr$2na3e$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sat, 22 Mar 2025 00:50:26 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="1205216"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird Content-Language: en-US X-Spam-Checker-Version: SpamAssassin 4.0.0 In-Reply-To: <vrl0tr$2na3e$1@dont-email.me> Bytes: 3843 Lines: 65 On 3/21/25 8:40 PM, olcott wrote: > On 3/21/2025 6:49 PM, Richard Damon wrote: >> On 3/21/25 8:43 AM, olcott wrote: >>> On 3/21/2025 3:41 AM, Mikko wrote: >>>> On 2025-03-20 14:57:16 +0000, olcott said: >>>> >>>>> On 3/20/2025 6:00 AM, Richard Damon wrote: >>>>>> On 3/19/25 10:42 PM, olcott wrote: >>>>>>> It is stipulated that analytic knowledge is limited to the >>>>>>> set of knowledge that can be expressed using language or >>>>>>> derived by applying truth preserving operations to elements >>>>>>> of this set. >>>>>> >>>>>> Which just means that you have stipulated yourself out of all >>>>>> classical logic, since Truth is different than Knowledge. In a >>>>>> good logic system, Knowledge will be a subset of Truth, but you >>>>>> have defined that in your system, Truth is a subset of Knowledge, >>>>>> so you have it backwards. >>>>>> >>>>> >>>>> True(X) always returns TRUE for every element in the set >>>>> of general knowledge that can be expressed using language. >>>>> It never gets confused by paradoxes. >>>> >>>> Not useful unless it returns TRUE for no X that contradicts anything >>>> that can be inferred from the set of general knowledge. >>>> >>> >>> I can't parse that. >>> > (a) Not useful unless >>> > (b) it returns TRUE for >>> > (c) no X that contradicts anything >>> > (d) that can be inferred from the set of general knowledge. >>> > >>> Because my system begins with basic facts and actual facts >>> can't contradict each other and no contradiction can be >>> formed by applying only truth preserving operations to these >>> basic facts there are no contradictions in the system. >>> >>> >> >> No, you system doesn't because you don't actually understand what you >> are trying to define. >> >> "Human Knowledge" is full of contradictions and incorrect statements. >> >> Adittedly, most of them can be resolved by properly putting the >> statements into context, but the problem is that for some statement, >> the context isn't precisely known or the statement is known to be an >> approximation of unknown accuracy, so doesn't actually specify a "fact". > > It is self evidence that for every element of the set of human > knowledge that can be expressed using language that undecidability > cannot possibly exist. > > SO, you admit you don't know what it means to prove something. It is clearly not "self-evidently true", since I just listed a problem that it couldn't decide on. Your problem is your system doesn't have a valid definition of "Truth" in the first place. Sorry, you are just proving your stupidity.