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Symbolic Logic

Palgrave Macmillan

Authors:

  • Emphasizes the philosophical foundations of logicA learning-focused approach - the mode of presentation, and the numerous examples and exercises have all been developed with the key aim of assisting learningAstute use of recapitulation - reiteration is deployed deliberately with varying themes and accounts with the purpose of facilitating understanding and learning
  • Broad coverage - topics included that other texts often omit (for example, intuitionistic logic and set theory)

Part of the book series: Palgrave Philosophy Today (PPT)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-v
  2. What Logic Studies

    • Odysseus Makridis
    Pages 1-56
  3. Concepts of Deductive Reasoning

    • Odysseus Makridis
    Pages 57-80
  4. Sentential Logic Languages ∑

    • Odysseus Makridis
    Pages 115-287
  5. Semantic Models for ∏: ∏⧉

    • Odysseus Makridis
    Pages 351-371
  6. Definite Descriptions: ∏πφ=⍳

    • Odysseus Makridis
    Pages 397-404
  7. Basics of Set Theory

    • Odysseus Makridis
    Pages 405-458
  8. Back Matter

    Pages 459-492

About this book

This book provides a comprehensive introduction to the essential elements of standard (classical) symbolic logic. Key topics covered include: 

·           The characteristic nature and scope of logic as a discipline

·           The construction of a series of distinctly named formal languages suitable for formal translation

·           Semantic models

·           The construction of decision procedures

·           The execution of proof-theoretic arrangements like natural deduction and proof-sequent systems

The book covers both the semantics and proof theory of the standard sentential (propositional) logic and predicate (first-order) logic. Other topics covered include: parsing trees,extraction of alternative notations (for instance, Polish notation), Fitch-style proof-theory, sequent and ‘tree’ proof systems, comparisons and contrasts with intuitionistic logic, and presentations of predicate logic models. An ancillary chapter on elements of set theory is conveniently placed at the end and includes insights into the Zermelo-Fraenkel systematization of set theory. The philosophy of logic is also explored.

Exercises in the text provide instruction on mathematical induction for the construction of formula, tests for the well-formedness of Polish notation, and functional completeness.

Symbolic Logic is essential reading for all philosophy students taking intermediate level formal logic courses and will also appeal to diligent first year students of logic. The text is replete with exercises on both the formal machinery and the philosophical aspects of logic.


Reviews

'Odysseus Makridis’s Symbolic Logic is an excellent choice for readers and instructors looking for a philosophically rigorous introduction to formal logic. Working through this textbook will not only provide students with the tools necessary for further reading in philosophy, but also an understanding of the philosophical foundations of those formal tools. Instructors will be pleased to find a wealth of exercises asking for philosophical reflection as well as technical skill.'

- Roger Clarke, Queen’s University Belfast, UK

Authors and Affiliations

  • Literature, Languages, and Philosophy, Fairleigh Dickinson University, Madison, USA

    Odysseus Makridis

About the author

Odysseus Makridis is a Professor of Philosophy at Fairleigh Dickinson University, USA. Previously, he taught at Brandeis University, USA, and was Teaching Fellow at the Harvard Kennedy School of Government, USA.

 

Bibliographic Information

  • Book Title: Symbolic Logic

  • Authors: Odysseus Makridis

  • Series Title: Palgrave Philosophy Today

  • DOI: https://doi.org/10.1007/978-3-030-67396-3

  • Publisher: Palgrave Macmillan 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 2022

  • Softcover ISBN: 978-3-030-67395-6Published: 22 February 2022

  • eBook ISBN: 978-3-030-67396-3Published: 21 February 2022

  • Series ISSN: 2947-9339

  • Series E-ISSN: 2947-9347

  • Edition Number: 1

  • Number of Pages: V, 492

  • Number of Illustrations: 2 b/w illustrations

  • Topics: Logic, Philosophy, general

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access