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Text File  |  1994-06-13  |  512b  |  11 lines
  1. "A Study of the Diagonalization Technique and
  2.        Infinitely Morphing Objects"
  3. This paper contains proofs that the real numbers
  4. are countable, that the Diagonalization Theorem
  5. is false, that the Power Set Theorem is false,
  6. etc.  Many new mappings, concepts, theorems,
  7. algorithms, definitions, etc. on Transfinite
  8. Set Theory.  It contains mappings from 2
  9. countable sets to all of R(0,1).  Also, a mapping
  10. from 2 countable sets to the Power Set of the
  11. Counting/Natural Numbers.  Mathematically based.