Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: olcott Newsgroups: sci.logic Subject: Re: The key undecidable instance that I know about Date: Sat, 15 Mar 2025 12:19:47 -0500 Organization: A noiseless patient Spider Lines: 35 Message-ID: References: MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sat, 15 Mar 2025 18:19:48 +0100 (CET) Injection-Info: dont-email.me; posting-host="442a9ec1ae8b0ed609e933f76503e6e9"; logging-data="4135589"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18YKQzj6Nvtvm+rpz4Q7hNh" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:4kbfbLOU8w8BZeWz9JiOfvLKbhQ= In-Reply-To: X-Antivirus-Status: Clean X-Antivirus: Norton (VPS 250315-4, 3/15/2025), Outbound message Content-Language: en-US Bytes: 2375 On 3/11/2025 6:15 AM, Mikko wrote: > On 2025-03-10 15:36:28 +0000, olcott said: > >> On 3/10/2025 4:48 AM, Mikko wrote: >>> On 2025-03-09 17:15:13 +0000, olcott said: >>> >>>> Is the Liar Paradox True or False? >>>> >>>> LP := ~True(LP) >>> >>> In typical languages of formal logic that is not a syntactically valid >>> expression. >>> >> >> I created Minimal Type Theory such that self-reference >> can be expressed concisely and correctly. > > Have you pbulished that "Minimal Type Theory" or put it to a web page? > Without a pointer to it there is no point to mention it. Of course one > can create a language that can express a self reference but why would > one? > >> Apparently this cannot be expressed concisely and correctly in >> any formal logic system. > > A self reference cannot be expressed in an uninterpreted formal language. Bullshit on that LP := ~True(LP) only requires knowing what the operators mean this is never referred to as semantics. -- Copyright 2025 Olcott "Talent hits a target no one else can hit; Geniusu hits a target no one else can see." Arthur Schopenhauer