From mboxrd@z Thu Jan 1 00:00:00 1970 Path: news.gmane.io!.POSTED.blaine.gmane.org!not-for-mail From: Christopher Dimech Newsgroups: gmane.emacs.help Subject: Quote by Knuth Date: Sun, 18 Jul 2021 15:54:03 +0200 Message-ID: References: <87o8bgg6br.fsf@zoho.eu> <20210705154121.GB6395@tuxteam.de> <878s2j2onn.fsf@zoho.eu> <87r1gbdr6d.fsf@zoho.eu> <87o8b4eiyr.fsf@mbork.pl> <87y2a8ecck.fsf@zoho.eu> <87k0lsdsaw.fsf@mbork.pl> <87eebweq7y.fsf@mbork.pl> Mime-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: quoted-printable Injection-Info: ciao.gmane.io; posting-host="blaine.gmane.org:116.202.254.214"; logging-data="36736"; mail-complaints-to="usenet@ciao.gmane.io" Cc: help-gnu-emacs@gnu.org, Emanuel Berg To: Marcin Borkowski Original-X-From: help-gnu-emacs-bounces+geh-help-gnu-emacs=m.gmane-mx.org@gnu.org Sun Jul 18 15:55:16 2021 Return-path: Envelope-to: geh-help-gnu-emacs@m.gmane-mx.org Original-Received: from lists.gnu.org ([209.51.188.17]) by ciao.gmane.io with esmtps (TLS1.2:ECDHE_RSA_AES_256_GCM_SHA384:256) (Exim 4.92) (envelope-from ) id 1m57GG-0009Qc-6p for geh-help-gnu-emacs@m.gmane-mx.org; 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envelope-from=dimech@gmx.com; helo=mout.gmx.net X-Spam_score_int: -18 X-Spam_score: -1.9 X-Spam_bar: - X-Spam_report: (-1.9 / 5.0 requ) BAYES_00=-1.9, DKIM_SIGNED=0.1, DKIM_VALID=-0.1, FREEMAIL_FROM=0.001, SPF_HELO_NONE=0.001, SPF_PASS=-0.001 autolearn=ham autolearn_force=no X-Spam_action: no action X-BeenThere: help-gnu-emacs@gnu.org X-Mailman-Version: 2.1.23 Precedence: list List-Id: Users list for the GNU Emacs text editor List-Unsubscribe: , List-Archive: List-Post: List-Help: List-Subscribe: , Errors-To: help-gnu-emacs-bounces+geh-help-gnu-emacs=m.gmane-mx.org@gnu.org Original-Sender: "help-gnu-emacs" Xref: news.gmane.io gmane.emacs.help:131828 Archived-At: > Sent: Sunday, July 18, 2021 at 6:43 AM > From: "Marcin Borkowski" > To: "Christopher Dimech" > Cc: "Emanuel Berg" , help-gnu-emacs@gnu.org > Subject: Re: Quote by Knuth > > > On 2021-07-15, at 08:21, Christopher Dimech wrote: > > >> Sent: Thursday, July 15, 2021 at 6:06 PM > >> From: "Marcin Borkowski" > >> To: "Emanuel Berg" > >> Cc: help-gnu-emacs@gnu.org > >> Subject: Re: Quote by Knuth > >> > >> > >> On 2021-07-15, at 00:53, Emanuel Berg via Users list for the GNU Emac= s text editor wrote: > >> > >> > But without the symbolic notation it isn't really math, is it, > >> > because the natural language, no matter how careful one is, > >> > can still be misinterpreted, interpreted in several ways, it > >> > can be translated, made fun of ... > >> > >> Interesting, but false. What Greeks did was most certainly mathemati= cs > >> even if they had little to none symbolism. > > > > We don't do greek mathematics anymore. It was mainly geometric, which= became > > an ingrained technique that stall development until Liebniz introduced= some useful > > notation. Magneto-Hydro-Dynamics needs compact notation. Inverse Est= imation > > is another example. > > Well, don't we do the very same mathematics as ancient Greeks did, only > expressing it in a different language? (And of course, we now know > more, since our knowledge grows. OTOH, many things in contemporary > mathematics are not very trustworthy due to the complexity and high > probability of errors.) We don't do the same mathematics as ancient Greeks did. Greeks mathematic= s can be understood by many people. Then came Differential and Integral Calculus (and fractional calculus, tensor calculus), mostly covered in undergraduate mathematics, considered difficult by non-mathematicians, but within grasp of 20 year olds. With Special Relativity and beyond, very fe= w understand the mathematics of 100 years ago. With current published mathe= matics, much of it goes beyond graduate level, some so specialised that only if yo= u work directly in that specific field would you understand the notation. Go to a lecture by Simon Donaldson at Imperial, and tell me how much you w= ould understand his particular solution to the equations of Yang-Mills Gauge Th= eory. Or about how the Hermitian-Einstein Metric is well-defined in a holomorphi= c vector bundle. His most recent work centers on complex differential geometry and the exis= tence of Kahler metrics.