Re: Keen's request

["Alan G. Isaac" <AISAAC@xxxxxxxxxxxx>]

It's probably been 20+ years since I've heard any details
about non-Euclidian geometries, but my vague recollection
is that the two major non-Euclidian geometries replaced
(rather than simply discarding) the axiom of parallels.
--Alan G. Isaac

On Tue, 14 Feb 1995 11:53:03 -0700 Paul Davidson said:
>"The classical theorists resemble Euclidean geometers in a non-Euclidean
>world who, discovering that in experience straight lines apparently parrallel
>often meet, rebuke the lines fo not keeping straight -- as the only remedy for
>the unfortunate collisions which are occuring. Yet, in truth , THERE IS NO REME
>DY ECEPT TO THROW OVER THE AXIOM of parallels and TO WORK OUT A NON-EUCLIDEAN G
>GEOMETRY.  SOMETHING SIMILAR IS REQUIRED IN ECONOMICS TODAY". (Gosh, Steve
>isn't that sufficient to suggest that Keynes wanted to develop a "noneuclidean
>economics -- keeping some of the axioms but throwing over some rewstrictive
>ones -- such as the axiom of parallels.