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Rafal Urbaniak

Lesniewski´s Systems of Logic and Foundations of Mathematics


Softcover reprint of the original 1st ed. 2014. 2016. xiii, 229 S. 3 SW-Abb. 235 mm
Verlag/Jahr: SPRINGER, BERLIN; SPRINGER INTERNATIONAL PUBLISHING 2016
ISBN: 3-319-34416-1 (3319344161)
Neue ISBN: 978-3-319-34416-4 (9783319344164)

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Offering an expansive critical commentary, this meticulous assessment of the ground-breaking work of the philosopher Stanislaw Lesniewski focuses exclusively on primary texts and explores the full range of work by a master logician of the Lvov-Warsaw school.
This meticulous critical assessment of the ground-breaking work of philosopher Stanislaw Lesniewski 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 Lesniewski´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, Lesniewski 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 Lesniewski´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.
Chapter 1: Introduction.- Chapter 2. Lesniewski´s early philosophical views.- Chapter 3. Lesniewski´s Protothetic.- Chapter 4. Lesniewski´s Ontology.- Chapter 5. Lesniewski´s Mereology.- Chapter 6. Lesniewski and definitions.- Chapter 7. Sets revisited.- Chapter 8. Nominalism and higher-order quantification.