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Morley Categoricity Theorem

In: A Course on Basic Model Theory

Author

Listed:
  • Haimanti Sarbadhikari

    (Indian Statistical Institute, Stat-Math Unit)

  • Shashi Mohan Srivastava

    (Indian Statistical Institute, Stat-Math Unit)

Abstract

In this chapter, we present the proof of Baldwin and Lachlan of the Morley categoricity theorem. The proof uses among other things indiscernibles and Vaughtian pair of models. Morley’s theorem is a very important milestone in model theory. It heralded the modern era of model theory. The concept of indiscernibles was introduced by Ehrenfeucht and Mostowski [11].

Suggested Citation

  • Haimanti Sarbadhikari & Shashi Mohan Srivastava, 2017. "Morley Categoricity Theorem," Springer Books, in: A Course on Basic Model Theory, chapter 0, pages 151-166, Springer.
    • Handle: RePEc:spr:sprchp:978-981-10-5098-5_5
    DOI: 10.1007/978-981-10-5098-5_5
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