mct9.memo

 
 
 
 
 
 
                               THE PROOF
 
                                MCT - 9
                            29 December 1993
 
                 Copyright (C) 1985 Homer Wilson Smith
       Redistribution rights granted for non commercial purposes.
 
     The following was taped up in the grad student lounge in the
Department of Mathematics for 8 years.  I never got one commment.  I
guess it must be wrong.
 
 
                                 Since,
 
 
                       Learning Across a Distance
 
                                Implies
 
                    Learning by Being an Effect, and
 
 
                                 Since,
 
 
                      Learning by Being an Effect
 
                                Implies
 
                      Not Learning with Certainty,
 
 
                         One can conclude that,
 
 
                        Learning with Certainty
 
                                Implies
 
                 Learning, but not by Being an Effect,
 
                 and therefore, not across a Distance.
 
 
 
                                                     1985
 
                                               Homer Wilson Smith

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Learning implies Learning with Certainty or Learning without Certainty.
Learning across a Distance implies Learning by Being an Effect.
Learning by Being an Effect implies Learning without Certainty.
Therefore, Learning with Certainty implies Learning, but 
not by Being an Effect, and not across a Distance.