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By Gödel’s Completeness Theorem 5.5 we know that every consistent theory T has a model. Later we will see that if T has an infinite model, then it also has arbitrarily large models.

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Countable Models of Peano Arithmetic

  • 章节

  • 发表日期：

    2025年

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  • Lorenz Halbeisen,
  • Regula Krapf

摘要

By Gödel’s Completeness Theorem 5.5 we know that every consistent theory T has a model. Later we will see that if T has an infinite model, then it also has arbitrarily large models.