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LOGIC: Lecture Notes for Philosophy, Mathematics, and Computer Science

  • Textbook
  • © 2021

Overview

Authors:
  1. Andrea Iacona

    1. Department of Philosophy and Education, Center for Logic, Language and Cognition University of Turin, Torino, Italy

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  • Suitable for undergraduate introductions to logic and early graduate courses on logic
  • Presents both detailed technical aspects and philosophical aspects of logic
  • Lays out the matter by following a paced increase in complexity

Part of the book series: Springer Undergraduate Texts in Philosophy (SUTP)

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Basic Notions

    • Andrea Iacona
    Pages 1-10

  3. Validity

    • Andrea Iacona
    Pages 11-23

  4. Formality

    • Andrea Iacona
    Pages 25-34

  5. The Symbols of Propositional Logic

    • Andrea Iacona
    Pages 35-43

  6. The Language L

    • Andrea Iacona
    Pages 45-51

  7. Logical Consequence in L

    • Andrea Iacona
    Pages 53-59

  8. The System G

    • Andrea Iacona
    Pages 61-70

  9. Derivability in G

    • Andrea Iacona
    Pages 71-78

  10. The System L

    • Andrea Iacona
    Pages 79-90

  11. Consistency, Soundness, Completeness

    • Andrea Iacona
    Pages 91-97

  12. Quantification

    • Andrea Iacona
    Pages 99-108

  13. The Symbols of Predicate Logic

    • Andrea Iacona
    Pages 109-117

  14. The Language L q

    • Andrea Iacona
    Pages 119-130

  15. The System Q

    • Andrea Iacona
    Pages 131-138

  16. Consistency, Soundness, Completeness

    • Andrea Iacona
    Pages 139-145

  17. Undecidability and Related Results

    • Andrea Iacona
    Pages 147-152

  18. First-Order Logic

    • Andrea Iacona
    Pages 153-160

  19. Theories and Models

    • Andrea Iacona
    Pages 161-170

  20. Gödel’s Incompleteness Theorems

    • Andrea Iacona
    Pages 171-179
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Keywords

About this book

This textbook is a logic manual which includes an elementary course and an advanced course. It covers more than most introductory logic textbooks, while maintaining a comfortable pace that students can follow. The technical exposition is clear, precise and follows a paced increase in complexity, allowing the reader to get comfortable with previous definitions and procedures before facing more difficult material. The book also presents an interesting overall balance between formal and philosophical discussion, making it suitable for both philosophy and more formal/science oriented students.  
This textbook is of great use to undergraduate philosophy students, graduate philosophy students, logic teachers,  undergraduates and graduates in mathematics, computer science or related fields in which logic is required. 





Authors and Affiliations

  • Department of Philosophy and Education, Center for Logic, Language and Cognition University of Turin, Torino, Italy

    Andrea Iacona

About the author

​Andrea Iacona is Professor of Logic at the University of Turin. His main research interests are in logic and philosophy of language. His publications include Propositions (Name 2002), and Logical Form (Springer 2018). 

Bibliographic Information

  • Book Title: LOGIC: Lecture Notes for Philosophy, Mathematics, and Computer Science

  • Authors: Andrea Iacona

  • Series Title: Springer Undergraduate Texts in Philosophy

  • DOI: https://doi.org/10.1007/978-3-030-64811-4

  • Publisher: Springer Cham

  • eBook Packages: Religion and Philosophy, Philosophy and Religion (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-64810-7Published: 11 May 2021

  • Softcover ISBN: 978-3-030-64813-8Published: 11 May 2022

  • eBook ISBN: 978-3-030-64811-4Published: 10 May 2021

  • Series ISSN: 2569-8737

  • Series E-ISSN: 2569-8753

  • Edition Number: 1

  • Number of Pages: X, 227

  • Number of Illustrations: 677 b/w illustrations

  • Topics: Philosophy, general, Philosophy of Language

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