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Path: ...!weretis.net!feeder9.news.weretis.net!feeder8.news.weretis.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Ben Bacarisse <ben@bsb.me.uk> Newsgroups: comp.theory Subject: Re: Yet another contribution to the P-NP question Date: Mon, 30 Sep 2024 00:27:36 +0100 Organization: A noiseless patient Spider Lines: 25 Message-ID: <878qvaf3br.fsf@bsb.me.uk> References: <85955d539da522cf777ab489101c0e2a@www.rocksolidbbs.com> <4b415dd5a91ac648bee8224fc3c28aa19706e06f.camel@gmail.com> <a4cacd3261a32cb9a769fbfe6ed1cd15@www.rocksolidbbs.com> <87cykqgfax.fsf@bsb.me.uk> <MWqdnZDONIeEjWv7nZ2dnZfqnPudnZ2d@brightview.co.uk> <877cawhg6g.fsf@bsb.me.uk> <AqidnfQXj44K-Gr7nZ2dnZfqnPidnZ2d@brightview.co.uk> <87plonfgj9.fsf@bsb.me.uk> <b3c272b418222bc082b7cbf3ce1b0852@www.rocksolidbbs.com> MIME-Version: 1.0 Content-Type: text/plain Injection-Date: Mon, 30 Sep 2024 01:27:37 +0200 (CEST) Injection-Info: dont-email.me; posting-host="92afe1feb265ab9858c0d7f89210c9a2"; logging-data="2027652"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/rjQEXiLuhWFpZVA5Vt2b1XJZRb3w2wiE=" User-Agent: Gnus/5.13 (Gnus v5.13) Cancel-Lock: sha1:tm+a9V+F9+lXqkMv8HioxHp+3wY= sha1:NT7b64/sanEhHw+/4xzGaYHB1/w= X-BSB-Auth: 1.6295ff9d55bb1e0791da.20240930002736BST.878qvaf3br.fsf@bsb.me.uk Bytes: 2441 nnymous109@gmail.com (nnymous109) writes: >> I tried to make one major suggestion to the author: explain (in English) >> in what way the core of the argument differs from the usual "it must >> examine all the cases" non-proofs that keep cropping up. > > And there's what I most unsure of. I've heard of these "examine all > cases" non-proofs, but I don't know what exactly makes them fail (is it > just that they don't give any reason why we must examine all the cases > or is it something deeper?) Yes, just that. Nothing deep at all (though it's obviously very hard to give a sound reason or the P/NP question would have been settled long ago). I hope you will forgive me, but I have limited time and this discussion is already spread across two sub-threads so I plan to reply (from no on) only in the main sub-thread where I've commented on your argument in some detail. If I've missed something here that you think it crucial, please repeat it in that sub-thread. -- Ben.