Leśniewski's Systems of Logic and Foundations of Mathematics

Author:   Rafal Urbaniak
Publisher:   Springer International Publishing AG
Edition:   2014 ed.
Volume:   37
ISBN:  

9783319004815


Pages:   229
Publication Date:   15 October 2013
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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Leśniewski's Systems of Logic and Foundations of Mathematics


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Overview

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.​

Full Product Details

Author:   Rafal Urbaniak
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   2014 ed.
Volume:   37
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   4.912kg
ISBN:  

9783319004815


ISBN 10:   3319004816
Pages:   229
Publication Date:   15 October 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Chapter 1: Introduction.- Chapter 2. Leśniewski's early philosophical views.- Chapter 3. Leśniewski's Protothetic.- Chapter 4. Leśniewski's Ontology.- Chapter 5. Leśniewski's Mereology.- Chapter 6. Leśniewski and definitions.- Chapter 7. Sets revisited.- Chapter 8. Nominalism and higher-order quantification. ​

Reviews

This is only the second monograph in English devoted to the logical work of Stanislaw Lesniewski ... . 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)


“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)


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