A Lattice of Chapters of Mathematics (Interpretations between Theorems) (Memoirs of the American Mathematical Society)

by Jan Mycielski, Pavel Pudlak, and Alan S. Stern

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What are mathematical theories? What mathematical objects should correspond to this informal concept? The classical and most important answer to these questions is: Theories formalized in first order logic. But this answer has also some undesirable features. One of theme is the dependence of such theories upon the language or the choice of primitive concepts, whereas a slightly deeper view would identify theories interpretable in each other.

The purpose of the present memoir is to investigate further, to survey the former work and to point out a number of open problems about local interpretability.
  • ISBN13 9780821824887
  • Publish Date 30 July 1990
  • Publish Status Active
  • Publish Country US
  • Imprint American Mathematical Society
  • Format Paperback
  • Pages 70
  • Language English