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Joel David Hamkins
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David Roberts
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Hi all, I am interested in proofs without using Gedel'sGoedel's completeness theorem.

  • Does anyone have a reference to a proof of this theorem that uses Skolem Functions?
  • How come Enderton's (Introduction to Logic) has a half a page proof (which looks OK to me) and Boolos (Computability And Logic) has a full chapter of it?

Thanks.

Hi all, I am interested in proofs without using Gedel's completeness theorem.

  • Does anyone have a reference to a proof of this theorem that uses Skolem Functions?
  • How come Enderton's (Introduction to Logic) has a half a page proof (which looks OK to me) and Boolos (Computability And Logic) has a full chapter of it?

Thanks.

Hi all, I am interested in proofs without using Goedel's completeness theorem.

  • Does anyone have a reference to a proof of this theorem that uses Skolem Functions?
  • How come Enderton's (Introduction to Logic) has a half a page proof (which looks OK to me) and Boolos (Computability And Logic) has a full chapter of it?

Thanks.

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Eran
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Compactness Theorem for First Order Logic

Hi all, I am interested in proofs without using Gedel's completeness theorem.

  • Does anyone have a reference to a proof of this theorem that uses Skolem Functions?
  • How come Enderton's (Introduction to Logic) has a half a page proof (which looks OK to me) and Boolos (Computability And Logic) has a full chapter of it?

Thanks.