XPost: rec.arts.sf.written   
   From: g@crcomp.net   
      
   Michael wrote:   
   > Joel Polowin wrote:   
   >> Ted wrote:   
   >>> That's not the way the Liaden old universe worked.  For instance, the   
   >>> value of Pi was not the same, setting aside a completely different set   
   >>> of stars & planets.   
   >>   
   >> Given that pi can be calculated in multiple ways as the sum of mathematical   
   >> converging infinite series, it's hard to see how that could be... Archie   
   >> Plutonium's "theories" notwithstanding.  Of course, that's the mathematical   
   >> constant, which can differ from the _physical_ value (e.g. the ratio between   
   >> the circumference and diameter of a circle) depending on the curvature of   
   >> space.   
   >   
   > Of course, in anything other than flat, Euclidean space, the ratio   
   > of the circumference of a circle to its diameter is not constant, but   
   > depends on its diameter (at least) and position (in a negatively   
   > curved space, I think).   
      
   Allow me to use the groups as an adhoc classroom. Let me know if my pi   
   pertinent philosophy shown below doesn't make sense.   
       The ratio of a circle's circumference to its diameter is an   
   observable fact. And accordingly associated with Aristotlean thought.   
       OTOH, notions of non-Euclidean space are Platonic. And non-   
   Euclidean space Platonically pulls pi apart to the breaking point?   
      
   Danke,   
      
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