Path: csiph.com!eternal-september.org!feeder.eternal-september.org!reader01.eternal-september.org!.POSTED!not-for-mail From: Ben Bacarisse Newsgroups: comp.theory Subject: Re: Simply defining =?iso-8859-1?Q?G=F6del?= Incompleteness and Tarski Undefinability away V33 (Mendelson Satisfiability) Date: Thu, 30 Jul 2020 02:38:45 +0100 Organization: A noiseless patient Spider Lines: 19 Message-ID: <87sgd97pei.fsf@bsb.me.uk> References: <87wo2ocrss.fsf@bsb.me.uk> <87r1swcr6l.fsf@bsb.me.uk> <87lfj3d2fn.fsf@bsb.me.uk> <87ft9bd1nz.fsf@bsb.me.uk> <87a6zjcu95.fsf@bsb.me.uk> <874kprcno2.fsf@bsb.me.uk> <87h7trb36f.fsf@bsb.me.uk> <87v9i69vzj.fsf@bsb.me.uk> <8a78b1af-b6af-45d4-83eb-95682fa579c4o@googlegroups.com> <87r1su803b.fsf@bsb.me.uk> Mime-Version: 1.0 Content-Type: text/plain; charset=utf-8 Content-Transfer-Encoding: 8bit Injection-Info: reader02.eternal-september.org; posting-host="877412a411aebc0b51c676483b2d6603"; logging-data="10596"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/cPLokdN3h6lg7Q1e3+4jJOwjG3fmYZWk=" Cancel-Lock: sha1:ltpRQ7TelQ0Y5SHRXGXOhyRLu9I= sha1:ye2mQ8H9Y3MSwvyIZgHwiqUgryo= X-BSB-Auth: 1.7b07ff88454bb1576f7c.20200730023845BST.87sgd97pei.fsf@bsb.me.uk Xref: csiph.com comp.theory:22031 olcott writes: > On 7/29/2020 4:47 PM, Ben Bacarisse wrote: >> Better would be to stick to the usual definition of a binary relation on >> H which is simply a subset of HxH. > > Where D is the set of humans: > ∈ Father_of(x, y) is Boolean. More and different junk. Now we have no !s (did you ditch that notation?) but I am sure that, despite appearances, a26 is not a constant because you've said it so often. Shame you won't write it differently. But now a pair can be a member of something that looks like a formula with two free variables? No, I think it's another hint. This is suggestive maths. -- Ben.