Titlebook: Mathematical Logic; On Numbers, Sets, St Roman Kossak Textbook 20181st edition Springer International Publishing AG part of Springer Nature

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Suggestions for Further ReadingNeedles to say, there is a vast literature on model theory of first-order logic and its applications. Some references have already been given throughout the text. I will repeat some of them and will add other recommendations.

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Roman KossakPresents an introduction to formal mathematical logic and set theory.Presents simple yet nontrivial results in modern model theory.Provides introductory remarks to all results, including a historical

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https://doi.org/10.1007/978-3-319-97298-5first-order logic introduction; Abstract symmetries; Number system development; Set theory mathematics;

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Mathematical Logic978-3-319-97298-5Series ISSN 2627-6046 Series E-ISSN 2627-6054

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First-Order Logic is revealed later after one has a chance to see their utility. We will try to follow a different route. Before all formalities are introduced, in this chapter, we will take a detour to see examples of mathematical statements and some elements of the language that is used to express them.

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Seeing the Number Structureserms of first-order logic. The reconstruction is technical and rather tedious, but it serves as a good example of how some mathematical structures can bee seen with the eyes of logic inside other structures. This chapter can be skipped on the first reading, but it should not be forgotten.

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