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Answer by Emil Jeřábek for Compactness and completeness in Gödel logic

You didn’t specify the semantics you are interested in.Gödel–Dummett logic in languages of arbitrary cardinality is complete with respect to safe models over linearly order Gödel algebras, and with...

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Compactness and completeness in Gödel logic

The standard proof of the completeness theorem in first-order Gödel logic is based on a first-order countable language. I want to know that is there any proof of the completeness theorem in first-order...

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