Overview
- 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)
Keywords
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.
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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