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  1. 1845-1918. German mathematician, who followed
  2. his work on number theory and trigonometry by
  3. considering the foundations of mathematics.
  4. He defined real numbers and produced a
  5. treatment of irrational numbers using a
  6. series of transfinite numbers. Cantor's set
  7. theory has been used in the development of
  8. topology and real function theory.
  9.