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  • © 2014

Leśniewski's Systems of Logic and Foundations of Mathematics

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  • Accessible introduction to Lesniewski's foundations of mathematics
  • Critical analysis covers Lesniewski’s philosophical views as well as his contributions to mathematical logic
  • Exclusive focus on primary texts reveals the core principles of Lesniewski’s work ?
  • Includes supplementary material: sn.pub/extras

Part of the book series: Trends in Logic (TREN, volume 37)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xiii
  2. Introduction

    • Rafal Urbaniak
    Pages 1-14
  3. Leśniewski’s Early Philosophical Views

    • Rafal Urbaniak
    Pages 15-55
  4. Leśniewski’s Protothetic

    • Rafal Urbaniak
    Pages 57-88
  5. Leśniewski’s Ontology

    • Rafal Urbaniak
    Pages 89-110
  6. Leśniewski’s Mereology

    • Rafal Urbaniak
    Pages 111-138
  7. Leśniewski and Definitions

    • Rafal Urbaniak
    Pages 139-164
  8. Sets Revisited

    • Rafal Urbaniak
    Pages 165-188
  9. Nominalism and Higher-Order Quantification

    • Rafal Urbaniak
    Pages 189-225
  10. Back Matter

    Pages 227-229

About this book

This meticulous critical assessment of the ground-breaking work of philosopher Stanislaw  Leśniewski focuses exclusively on primary texts and explores the full range of output by one of the master logicians of the Lvov-Warsaw school. The author’s nuanced survey eschews secondary commentary, analyzing Leśniewski's core philosophical views and evaluating the formulations that were to have such a profound influence on the evolution of mathematical logic.  

One of the undisputed leaders of the cohort of brilliant logicians that congregated in Poland in the early twentieth century, Leśniewski was a guide and mentor to a generation of celebrated analytical philosophers (Alfred Tarski was his PhD student). His primary achievement was a system of foundational mathematical logic intended as an alternative to the Principia Mathematica of Alfred North Whitehead and Bertrand Russell. Its three strands—‘protothetic’, ‘ontology’, and ‘mereology’, are detailed in discrete sectionsof this volume, alongside a wealth other chapters grouped to provide the fullest possible coverage of Leśniewski’s academic output.

With material on his early philosophical views, his contributions to set theory and his work on nominalism and higher-order quantification, this book offers a uniquely expansive critical commentary on one of analytical philosophy’s great pioneers.​

Reviews

“This is only the second monograph in English devoted to the logical work of Stanisław Leśniewski … . It contains helpful signposts to and discussion of the secondary literature, is much more in touch with logical orthodoxy, and each chapter has its own abstract and bibliography; so it can be dipped into as well as read from front to back. … it is a good survey and a clear step forward in understanding his place in twentieth-century logic.” (Peter Simons, Philosophia Mathematica, Vol. 25, 2016)

Authors and Affiliations

  • Centre for Logic and Philosophy of Scien Ghent University, Ghent, Belgium

    Rafal Urbaniak

Bibliographic Information

  • Book Title: Leśniewski's Systems of Logic and Foundations of Mathematics

  • Authors: Rafal Urbaniak

  • Series Title: Trends in Logic

  • DOI: https://doi.org/10.1007/978-3-319-00482-2

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2014

  • Hardcover ISBN: 978-3-319-00481-5Published: 15 October 2013

  • Softcover ISBN: 978-3-319-34416-4Published: 23 August 2016

  • eBook ISBN: 978-3-319-00482-2Published: 24 September 2013

  • Series ISSN: 1572-6126

  • Series E-ISSN: 2212-7313

  • Edition Number: 1

  • Number of Pages: XIII, 229

  • Number of Illustrations: 3 b/w illustrations

  • Topics: Philosophy of Science, Mathematical Logic and Foundations, Logic

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
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access