Titlebook: Mathematical Logic; Exercises and Soluti Laszlo Csirmaz,Zalán Gyenis Textbook 2022 The Editor(s) (if applicable) and The Author(s), under e

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Elementary Equivalence,The .-type structures . and . are ., written as . ?if . and . have the same theory ., that is, for each ., . iff ..

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Arithmetic,The . is the structure . of type . with the natural interpretation.

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Solutions, is dense in ., hence for all . there is an increasing sequence . converging to .. Clearly two sequences with different limits can have at most finitely many common members.

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Textbook 2022o understand its concepts and methods, can greatly benefit from this work. The style andtopics have been specially chosen so that readers interested in the mathematical content and methodology could follow the problems and prove the main theorems themselves, including G?del’s famous completeness and

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