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From: "Fred E.J. Linton" <fejlinton@usa.net>
To: Todd Trimble <trimble1@optonline.net>,
	Vaughan Pratt <pratt@cs.stanford.edu>
Cc: Categories list <categories@mta.ca>
Subject: Re:  Communes paper, schismatic objects
Date: Sun, 07 Nov 2010 15:05:23 -0500	[thread overview]
Message-ID: <E1PFU5G-0004ny-0N@mlist.mta.ca> (raw)

Todd Trimble writes, inter alia,

> ... The natural "home" of 2 from
> this point of view is in Bool(CH) = CH(Bool). 

I quite agree that Bool(CH) and CH(Bool) are quite equivalent.
But they are far from *equal*. Each serves as a 'natural "home"'
for 2, and the object 2 in its one home has a radically different
personality -- and interacts with radically different colleagues
-- than in its other. 

Moreover, as shown in Stone Spaces, 2 has rather more natural
homes -- and personalities -- than merely these two :-) , whence
my inclination to speak of its *multiple* personalities (pace Tom L.).

Cheers, -- Fred



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             reply	other threads:[~2010-11-07 20:05 UTC|newest]

Thread overview: 7+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2010-11-07 20:05 Fred E.J. Linton [this message]
  -- strict thread matches above, loose matches on Subject: below --
2010-11-01 23:52 Todd Trimble
2010-11-03 22:35 ` Vaughan Pratt
2010-11-05  6:42   ` Todd Trimble
     [not found]   ` <3827E0D667BC4DDB9CA346B29AF2DD9B@PC162032150465>
2010-11-05 20:00     ` Vaughan Pratt
2010-11-06 14:12   ` Todd Trimble
2010-11-01 17:44 Vaughan Pratt

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