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From: peasthope@shaw.ca
To: categories@mta.ca
Cc: peasthope@shaw.ca
Subject: Re: Explanations
Date: Thu, 21 Apr 2011 11:09:36 -0800	[thread overview]
Message-ID: <E1QDFyF-0000tl-Ue@mlist.mta.ca> (raw)
In-Reply-To: <E1QCtcp-0005GX-7K@mlist.mta.ca>

Fred & all,

> My goodness! I'd turn that question around: is there any proof (apart 
> from an "indirect" proof, or "proof by contradiction") that one would 
> *not* "consider as being explanatory in this sense?"

Speaking as a novice: yes, certainly.  Isn't it a question of degree?  Some 
proofs explain beautifully while others are clear as mud; most are  
between.  Ideally a proof shouldn't depend upon natural language but 
most do.  Striking sometimes how changing a few words of a sentence 
can make a concept obvious rather than nebulous.

For example, I've proven some of the power laws for map objects.  There 
should be a way to reduce the definition of a map object and the power 
laws to analogues in arithmetic.  Still eludes me.  My proofs have yet to 
help.  So my understanding is incomplete and my power law proofs are 
poor.

Best regards,                      ... Peter E.

-- 
Telephone 1 360 450 2132.  bcc: peasthope at shaw.ca
Shop pages http://carnot.yi.org/ accessible as long as the old drives survive.
Personal pages http://members.shaw.ca/peasthope/ .



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  reply	other threads:[~2011-04-21 19:09 UTC|newest]

Thread overview: 25+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2011-04-20 17:22 Explanations Fred E.J. Linton
2011-04-21 19:09 ` peasthope [this message]
     [not found] <654PeBPnq2496S01.1304350816@web01.cms.usa.net>
2011-05-02 18:22 ` Explanations peasthope
  -- strict thread matches above, loose matches on Subject: below --
2011-05-01 21:27 Explanations peasthope
     [not found] <609PDdViw1024S04.1304197762@web04.cms.usa.net>
2011-05-01 21:00 ` Explanations peasthope
2011-04-30 21:09 Explanations Fred E.J. Linton
     [not found] <BANLkTi=XhOM=FKajXUA6pyOq575fm_N=PQ@mail.gmail.com>
2011-04-29 19:56 ` Explanations peasthope
2011-04-30 19:58   ` Explanations Charles Wells
2011-05-02 17:01     ` Explanations Clemson Steve
2011-05-01 12:50   ` Explanations F. William Lawvere
2011-04-28 13:12 Explanations Ellis D. Cooper
2011-04-27  8:16 Explanations Mattias Wikström
2011-04-22 13:55 Explanations Graham White
2011-04-23 20:27 ` Explanations David Yetter
2011-04-23 21:29 ` Explanations Ronnie Brown
2011-04-25 13:51   ` Explanations Joyal, André
2011-04-26  0:52     ` Explanations jim stasheff
2011-04-26 13:45     ` Explanations William Messing
     [not found]     ` <4DB6CC7D.40407@math.umn.edu>
2011-04-26 22:05       ` Explanations Ronnie Brown
2011-04-23 21:52 ` Explanations Dusko Pavlovic
2011-04-25 13:17   ` Explanations ClemsonSteve
2011-04-26  5:55     ` Explanations Timothy Porter
2011-04-27  7:53       ` Explanations Uli Fahrenberg
     [not found] ` <17617_1303861705_4DB759C9_17617_39_1_E1QEryD-0006dq-7k@mlist.mta.ca>
2011-04-27 13:20   ` Explanations Marta Bunge
2011-04-19 23:37 Explanations Jean-Pierre Marquis

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