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LOGIC: Lecture Notes for Philosophy, Mathematics, and Computer Science Second Edition 2026 [Kõva köide]

  • Formaat: Hardback, 230 pages, kõrgus x laius: 235x155 mm, XX, 230 p.
  • Sari: Springer Undergraduate Texts in Philosophy
  • Ilmumisaeg: 27-Jun-2026
  • Kirjastus: Springer Nature Switzerland AG
  • ISBN-10: 3032256690
  • ISBN-13: 9783032256690
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  • Formaat: Hardback, 230 pages, kõrgus x laius: 235x155 mm, XX, 230 p.
  • Sari: Springer Undergraduate Texts in Philosophy
  • Ilmumisaeg: 27-Jun-2026
  • Kirjastus: Springer Nature Switzerland AG
  • ISBN-10: 3032256690
  • ISBN-13: 9783032256690
This second edition improves upon the first by offering a more detailed treatment of key topics and by expanding the set of problems and exercises. In particular, four new features deserve mention. First, the book now includes a more thorough exposition of natural deduction, explaining how derivations can be represented as trees of formulas. Second, it provides a detailed explanation of the main proof methods, illustrated with examples. Third, it offers a separate exposition of the logic of identity. Fourth, it presents a fuller treatment of modal logic, including results on consistency, soundness, and completeness. Additional changes include new examples drawn from elementary mathematics, a refined notation, and a more functional subdivision of the material, which simplifies some proofs and enhances clarity and readability. Overall, the text preserves the style of the first edition, aiming to present core ideas clearly, concisely, and with minimal distractions.
Preface.
Chapter
1. Elementary set-theoretical notions.
Chapter
2.
What logic is about.
Chapter
3. Validity.
Chapter
4. Formality.
Chapter
5.
The symbols of propositional logic.
Chapter
6. The language L: syntax.-
Chapter
7. The language L: semantics.
Chapter
8. The system G.
Chapter
9.
Derivability in G.
Chapter
10. The system S.
Chapter
11. Consistency,
soundness, completeness.
Chapter
12. Computability.
Chapter
13. The symbols
of predicate logic.
Chapter
14. The language Lq: syntax.
Chapter
15. The
language Lq: semantics.
Chapter
16. The system Sq.
Chapter
17. Consistency,
soundness, completeness.
Chapter
18. Identity.
Chapter
19. First-order
theories.
Chapter
20. Theories and models.
Chapter
21. Gödels
incompleteness theorems.
Chapter
22. Undecidability and related results.-
Chapter
23. Modal propositional logic.
Chapter
24. Quantified modal logic.-
Index.
Andrea Iacona is Professor of Logic at the University of Turin. His main research interests are in logic, epistemology, and philosophy of language. His publications include the books Propositions (Name 2002), Logical Form (Springer 2018), and numerous articles on topics including truth, vagueness, conditionals, and future contingents.