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A Framework for Metamathematics

In: Gödel's Theorems and Zermelo's Axioms

Author

Listed:
  • Lorenz Halbeisen

    (ETH Zurich, Department of Mathematics)

  • Regula Krapf

    (Universität Bonn, Mathematics Institute)

Abstract

In the late 19th and early 20th century, several unsuccessful attempts were made to develop the natural numbers from logic. The most promising approaches were the ones due to Frege and Russell, but also their approaches failed at the end. Even though it seems impossible to develop the natural numbers just from logic, it is still necessary to formalise them.

Suggested Citation

  • Lorenz Halbeisen & Regula Krapf, 2025. "A Framework for Metamathematics," Springer Books, in: Gödel's Theorems and Zermelo's Axioms, edition 0, chapter 0, pages 1-5, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-85106-3_1
    DOI: 10.1007/978-3-031-85106-3_1
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