Trends in Logic

Leśniewski's Systems of Logic and Foundations of Mathematics

Authors: Urbaniak, Rafal

  • Accessible introduction to Leśniewski's foundations of mathematics
  • Critical analysis covers Leśniewski’s philosophical views as well as his contributions to mathematical logic
  • Exclusive focus on primary texts reveals the core principles of Leśniewski’s work ​
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Hardcover $129.00
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Softcover $129.00
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  • ISBN 978-3-319-34416-4
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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 sections of 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)


Table of contents (8 chapters)

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-00482-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-00481-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-3-319-34416-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Leśniewski's Systems of Logic and Foundations of Mathematics
Authors
Series Title
Trends in Logic
Series Volume
37
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-00482-2
DOI
10.1007/978-3-319-00482-2
Hardcover ISBN
978-3-319-00481-5
Softcover ISBN
978-3-319-34416-4
Series ISSN
1572-6126
Edition Number
1
Number of Pages
XIII, 229
Number of Illustrations and Tables
3 b/w illustrations
Topics