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X-Received: by 2002:a05:622a:1827:b0:403:dfde:6c32 with SMTP id t39-20020a05622a182700b00403dfde6c32mr1388qtc.13.1689898437784; Thu, 20 Jul 2023 17:13:57 -0700 (PDT) X-Received: by 2002:a05:6830:1416:b0:6b9:99ab:7f25 with SMTP id v22-20020a056830141600b006b999ab7f25mr594369otp.6.1689898437491; Thu, 20 Jul 2023 17:13:57 -0700 (PDT) Path: ...!news.misty.com!1.us.feeder.erje.net!feeder.erje.net!usenet.blueworldhosting.com!diablo1.usenet.blueworldhosting.com!peer03.iad!feed-me.highwinds-media.com!news.highwinds-media.com!news-out.google.com!nntp.google.com!postnews.google.com!google-groups.googlegroups.com!not-for-mail Newsgroups: sci.logic Date: Thu, 20 Jul 2023 17:13:57 -0700 (PDT) In-Reply-To: <u9cd5n$2tbrr$1@dont-email.me> Injection-Info: google-groups.googlegroups.com; posting-host=163.182.226.42; posting-account=OWfgwwgAAADQpH2XgMDMe2wuQ7OFPXlE NNTP-Posting-Host: 163.182.226.42 References: <u9cd5n$2tbrr$1@dont-email.me> User-Agent: G2/1.0 MIME-Version: 1.0 Message-ID: <13d5feea-2af4-4c26-ace0-ce7c2f6edeb2n@googlegroups.com> Subject: Re: Material implication sustains the non-sequitur fallacy From: Dan Christensen <Dan_Christensen@sympatico.ca> Injection-Date: Fri, 21 Jul 2023 00:13:57 +0000 Content-Type: text/plain; charset="UTF-8" Content-Transfer-Encoding: quoted-printable X-Received-Bytes: 1956 Bytes: 2204 Lines: 21 On Thursday, July 20, 2023 at 6:41:02=E2=80=AFPM UTC-4, olcott wrote: > *Material implication sustains the non-sequitur fallacy*=20 Not a fallacy. It is called the Principle of Vacuous Truth--a legitimate me= thod of proof. It is seldom used in daily discourse since we don't usually = consider that implications of something that is false. > "The Moon is made from Green Cheese =E2=87=92 Donald Trump is God"=20 > is a true sentence is FOPL.=20 "The Moon is made from Green Cheese =3D> Donald Trump is NOT God" is also a true sentence in FOPL. No contradictions arise from these two implications since the antecedent in= both is false.=20 I hope this helps. Dan Download my DC Proof 2.0 freeware at http://www.dcproof.com Visit my Math Blog at http://www.dcproof.wordpress.com