7 Nov
2010
7 Nov
'10
8:05 p.m.
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 [For admin and other information see: http://www.mta.ca/~cat-dist/ ]