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Titlebook: Mathematical Logic; H.-D. Ebbinghaus,J. Flum,W. Thomas Textbook 19942nd edition Springer Science+Business Media New York 1994 Arithmetic.E

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Syntax of First-Order LanguagesIn this chapter we introduce the first-order languages. They obey simple, clear formation rules. In later chapters we shall discuss whether, and to what extent, all mathematical propositions can be formalized in such languages.
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Lindström’s TheoremsIn this final chapter we present some results, due to Lindström [25], which we have already mentioned several times. They show that first-order logic occupies a unique place among logical systems. Indeed, we shall prove:
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https://doi.org/10.1007/978-1-4757-2355-7Arithmetic; Equivalence; Logic; Mathematische Logik; compactness theorem; mathematical logic; model theory
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