From mboxrd@z Thu Jan 1 00:00:00 1970 X-Spam-Checker-Version: SpamAssassin 3.4.4 (2020-01-24) on polar.synack.me X-Spam-Level: X-Spam-Status: No, score=-0.2 required=5.0 tests=BAYES_00,FORGED_GMAIL_RCVD, FREEMAIL_FROM,FROM_STARTS_WITH_NUMS autolearn=no autolearn_force=no version=3.4.4 X-Received: by 2002:a6b:2552:: with SMTP id l79-v6mr58284iol.22.1527205848411; Thu, 24 May 2018 16:50:48 -0700 (PDT) X-Received: by 2002:a9d:604f:: with SMTP id v15-v6mr253496otj.11.1527205848094; Thu, 24 May 2018 16:50:48 -0700 (PDT) Path: eternal-september.org!reader01.eternal-september.org!reader02.eternal-september.org!feeder.eternal-september.org!feeder.erje.net!2.eu.feeder.erje.net!newsreader5.netcologne.de!news.netcologne.de!peer03.ams1!peer.ams1.xlned.com!news.xlned.com!peer03.am4!peer.am4.highwinds-media.com!peer03.iad!feed-me.highwinds-media.com!news.highwinds-media.com!u74-v6no1531244itb.0!news-out.google.com!f20-v6ni1262itd.0!nntp.google.com!u74-v6no1531242itb.0!postnews.google.com!glegroupsg2000goo.googlegroups.com!not-for-mail Newsgroups: comp.lang.ada Date: Thu, 24 May 2018 16:50:47 -0700 (PDT) In-Reply-To: <87603c4vz6.fsf@nightsong.com> Complaints-To: groups-abuse@google.com Injection-Info: glegroupsg2000goo.googlegroups.com; posting-host=85.243.126.25; posting-account=rhqvKAoAAABpikMmPHJSZh4400BboHwT NNTP-Posting-Host: 85.243.126.25 References: <0cef0914-30b1-4139-a341-40e8f32f85d9@googlegroups.com> <931dc342-50af-4282-baf2-1257d4048da4@googlegroups.com> <87603c4vz6.fsf@nightsong.com> User-Agent: G2/1.0 MIME-Version: 1.0 Message-ID: Subject: Re: grassroots level SPARK Initiation From: Mehdi Saada <00120260a@gmail.com> Injection-Date: Thu, 24 May 2018 23:50:48 +0000 Content-Type: text/plain; charset="UTF-8" Content-Transfer-Encoding: quoted-printable X-Received-Bytes: 2340 X-Received-Body-CRC: 3510579660 Xref: reader02.eternal-september.org comp.lang.ada:52656 Date: 2018-05-24T16:50:47-07:00 List-Id: > Most math is fundamentally about reasoning about infinite sets.=20 Except men have been doing math way before last century's mania with set th= eory. The computer is *never* counting up to the infinite, of course... It'= s not *reasoning* about infinite stuff either, it's always applying a logic= al, step-by-step recipe, however complex. Many things *can* be cast in diff= erent formalism, be it better or not. The same happen within math... some p= roblem are more naturally, whatever the term means, cast in some language t= han other. Or some properties/structures made more apparent. For more on al= l of that, see NJ.Wildberger, math teacher on YT ... Just be sure this stan= ce isn't coming from nowhere, nor is devoid of reason. > https://www.fecundity.com/codex/forallx.pdf I'll look at it. Do you know "HOW TO PROVE IT, A Structured Approach", from= Daniel J. Velleman ? It's lengthier, among other things. But like you said= , many good books here.