Path: ...!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: Richard Damon Newsgroups: sci.logic Subject: Re: Mathematical incompleteness has always been a misconception --- Ultimate Foundation of Truth Date: Tue, 25 Feb 2025 23:21:25 -0500 Organization: i2pn2 (i2pn.org) Message-ID: <4ed350b2437ce93f651dbe9e13f7866a2e34d19b@i2pn2.org> References: <7e532aaf77653daac5ca2b70bf26d0a3bc515abf@i2pn2.org> <0f7cd503773838ad12f124f23106d53552e277b8@i2pn2.org> <7e3e9d35d880cfcad12f505dfb39c5650cdd249e@i2pn2.org> <3cf165ef9793e844dc9d5db82aecbc47f9545367@i2pn2.org> <080bf2b1c322247548c6ec61c9f054359062ccd4@i2pn2.org> <6fc61a762b56308f9919993f29ba3e77f7ba84c7@i2pn2.org> <41ca355a1f535e767e17d3f4df3d404eb1e61cef@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 26 Feb 2025 04:21:25 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="1816923"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird X-Spam-Checker-Version: SpamAssassin 4.0.0 Content-Language: en-US In-Reply-To: Bytes: 4397 Lines: 60 On 2/25/25 8:33 PM, olcott wrote: > On 2/25/2025 5:58 PM, Richard Damon wrote: >> On 2/25/25 1:40 PM, olcott wrote: >>> On 2/25/2025 12:15 PM, joes wrote: >>>> Am Mon, 24 Feb 2025 20:02:49 -0600 schrieb olcott: >>>>> On 2/24/2025 6:12 PM, Richard Damon wrote: >>>>>> On 2/24/25 6:11 PM, olcott wrote: >>>>>>> On 2/24/2025 6:27 AM, Richard Damon wrote: >>>>>>>> On 2/23/25 11:39 PM, olcott wrote: >>>>>>>>> On 2/23/2025 8:50 PM, Richard Damon wrote: >>>>>>>>>> On 2/23/25 1:08 PM, olcott wrote: >>>>>>>>>>> On 2/22/2025 9:56 PM, Richard Damon wrote: >>>>>>>>>>>> On 2/22/25 1:42 PM, olcott wrote: >>>>>>>>>>>>> On 2/22/2025 3:25 AM, Mikko wrote: >>>>>>>>>>>>>> On 2025-02-22 04:44:35 +0000, olcott said: >>>>>>>>>>>>>>> On 2/21/2025 7:05 PM, Richard Damon wrote: >>>>>>>>>>>>>>>> On 2/21/25 6:19 PM, olcott wrote: >>>>>>>>>>>>>>>>> On 2/20/2025 2:54 AM, Mikko wrote: >>>>>>>>>>>>>>>>>> On 2025-02-18 03:59:08 +0000, olcott said: >>>> >>>>>>>> Sure I do. >>>>>>>> A Systems is semantically sound if every statement that can be >>>>>>>> proven >>>>>>>> is actually true by the systems semantics, >>>>>>> That is very good. >>>>>>> >>>>>>>> in other words, the system doesn't allow the proving of a false >>>>>>>> statement. >>>>>>> That is not too bad yet ignores that some expressions might not have >>>>>>> any truth value. >>>>>> Which has nothing to do with "soundness". >>>>> When any system assumes that every expression is true or false and is >>>>> capable of encoding expressions that are neither IT IS STUPIDLY WRONG. >>> >>>> In honour of Gödel this is usually called "incomplete". >>>> >>> Where "incomplete" has always been an idiom for stupid wrong. >>> >> >> No, only in your faulty logic. >> >> Incomplete means that there are some truths that can't be proven in >> the system. >> > > That comes from stupidly failing to require {true in the system} > to require {proven in the system}. Fix this one stupid mistake > and all of incompleteness goes away. > No, it is stupid to require that true in the system means proven. Such a system can be proven to have a very limited domain of applicability. Of course, since your logical understanding is infantile, you don't understand that. You are just showing your stupidity, and that you desire that everyone be as stupid as you so you can think of yourself as being smart. Sorry, you are just too stupid to count.