Skip to content
Register Sign in Wishlist
Look Inside Elements of Logical Reasoning

Elements of Logical Reasoning

$24.99 (P)

  • Date Published: March 2014
  • availability: In stock
  • format: Paperback
  • isbn: 9781107610774

$ 24.99 (P)
Paperback

Add to cart Add to wishlist

Other available formats:
Hardback


Looking for an examination copy?

This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Some of our earliest experiences of the conclusive force of an argument come from school mathematics: faced with a mathematical proof, we cannot deny the conclusion once the premises have been accepted. Behind such arguments lies a more general pattern of 'demonstrative arguments' that is studied in the science of logic. Logical reasoning is applied at all levels, from everyday life to advanced sciences, and a remarkable level of complexity is achieved in everyday logical reasoning, even if the principles behind it remain intuitive. Jan von Plato provides an accessible but rigorous introduction to an important aspect of contemporary logic: its deductive machinery. He shows that when the forms of logical reasoning are analysed, it turns out that a limited set of first principles can represent any logical argument. His book will be valuable for students of logic, mathematics and computer science.

    • Includes a unique historical survey of deductive systems from Aristotle to modern times
    • Provides an introduction to the deductive machinery of metalogic
    • Reveals a set of first principles for representing logical arguments
    Read more

    Reviews & endorsements

    "Elements of Logical Reasoning fills a gap by providing some much needed explanation and motivation to an otherwise dry literature."
    Henry Towsner, The Mathematical Intelligencer

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: March 2014
    • format: Paperback
    • isbn: 9781107610774
    • length: 271 pages
    • dimensions: 246 x 173 x 13 mm
    • weight: 0.56kg
    • availability: In stock
  • Table of Contents

    Part I. First Steps in Logical Reasoning:
    1. Starting points
    2. Rules of proof
    3. Natural deduction
    4. Proof search
    5. Classical natural deduction
    6. Proof search in classical logic
    7. The semantics of propositional logic
    Part II. Logical Reasoning with the Quantifiers:
    8. The quantifiers
    9. Derivations in predicate logic
    10. The semantics of predicate logic
    Part III. Beyond Pure Logic:
    11. Equality and axiomatic theories
    12. Elements of the proof theory of arithmetic
    Part IV. Complementary Topics:
    13. Normalization and cut elimination
    14. Deductive machinery from Aristotle to Heyting.

  • Author

    Jan von Plato, University of Helsinki
    Jan von Plato is Professor of Philosophy at the University of Helsinki. He is the author of Creating Modern Probability (Cambridge University Press, 1994) and, with Sara Negri, Structural Proof Theory (Cambridge University Press, 2001) and Proof Analysis (Cambridge University Press, 2011).

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×