AtDTdA: (9) 248 Wednesday's kick-ass question

[Richard Fiero]

Jasper wrote:
>I'm trying to get an accounting of this mirroring / doubling / 
>duality theme.  We seem to have these aspects (facets?):
>
>Reality as a representation of itself ala (insert dead French philosopher)
>Copies of copies (the dustjacket)
>Geography as a map of itself
>Reality once or twice removed
>Reality vs. fiction (vs. history?)
>Aerial Surveillance, the all-seeing eye
>AtD itself a doubling of the world
>AtD itself a mirror to Pynchon's previous work
>Portals to other dimensions
>Scrying -- use of mirrors to gather information or receive 
>information from another realm
>Use of mirrors to see the future
>Use of mirrors to see what has been intentionally hidden
>The present vs. the future
>The kitchen sink . . .

This author is mathematically hip so one might expect that a 
mirroring is a one-to-one mapping from one space to another.  A 
second point which is kind of close to a first that is mapped should 
wind up sort of close to the transformed first is about all that's 
required.  I'm of course trying to limit the weirdness which is 
invited by notions of transformations.