Leśniewski's Systems of Logic and Foundations of Mathematics

  • Rafal Urbaniak
Part of the Trends in Logic book series (TREN, volume 37)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Rafal Urbaniak
    Pages 1-14
  3. Rafal Urbaniak
    Pages 15-55
  4. Rafal Urbaniak
    Pages 57-88
  5. Rafal Urbaniak
    Pages 89-110
  6. Rafal Urbaniak
    Pages 111-138
  7. Rafal Urbaniak
    Pages 139-164
  8. Rafal Urbaniak
    Pages 165-188
  9. Rafal Urbaniak
    Pages 189-225
  10. Back Matter
    Pages 227-229

About this book

Introduction

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.​

Keywords

Foundations of mathematics History of logic Lesniewski's Mereology Lesniewski's Ontology Lesniewski's Protothetic Lesniewski's life and philosophical development Nelson-Grelling paradox Semantic categories Semantic categories and the language of Protothetic Stanislaw Lesniewski

Authors and affiliations

  • Rafal Urbaniak
    • 1
  1. 1.Centre for Logic and Philosophy of Scien Ghent UniversityGhentBelgium

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-00482-2
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-00481-5
  • Online ISBN 978-3-319-00482-2
  • Series Print ISSN 1572-6126
  • Series Online ISSN 2212-7313
  • About this book