Foundations of Set Theory: Lwów–Warsaw Logic

Foundations of Set Theory: Lwów–Warsaw Logic

★★★★☆ (87 reviews)

By Prof. Tomasz Kowalski

£48.50

In Stock

Explore the groundbreaking contributions of the Lwów–Warsaw School to set theory and mathematical logic. This comprehensive textbook examines the foundational work of Polish logicians who revolutionized modern mathematical philosophy.

Digital Supplements Included
Advanced/Graduate Level
Philosophical Discussions

About this Book

"Foundations of Set Theory: Lwów–Warsaw Logic" offers a comprehensive examination of the profound contributions made by the Lwów–Warsaw School to the foundations of mathematics and modern logic. This scholarly work by Prof. Tomasz Kowalski presents the revolutionary ideas of Polish logicians and mathematicians who, between the World Wars, developed groundbreaking theories that continue to influence mathematical logic today.

The book delves into the innovative work of luminaries such as Alfred Tarski, Stanisław Leśniewski, Jan Łukasiewicz, and Kazimierz Twardowski, exploring how their rigorous approach to logical foundations reshaped our understanding of set theory, semantics, and mathematical truth. The text provides both historical context and precise technical explanations of their most significant contributions.

Key Features:

  • Comprehensive analysis of the Lwów–Warsaw School's revolutionary approach to set theory
  • Detailed exploration of Tarski's semantic theory of truth
  • In-depth coverage of Leśniewski's foundational systems: Protothetic, Ontology, and Mereology
  • Historical context explaining the unique intellectual environment of interwar Poland
  • Applications to contemporary issues in mathematical logic and philosophy of mathematics
  • Over 300 exercises ranging from basic comprehension to advanced research problems
  • Digital companion with additional materials and historical documents

This book is ideal for advanced undergraduate students, graduate students, and researchers in mathematics, philosophy, and computer science. It assumes basic familiarity with first-order logic but provides all necessary background on the historical and technical context of the Lwów–Warsaw School's contributions.

Product Details

Title Foundations of Set Theory: Lwów–Warsaw Logic
Author Prof. Tomasz Kowalski
Publisher GeoMath Poland Publishing
Publication Date January 30, 2024
Language English
Pages 486
Dimensions 7.2 x 1.0 x 9.5 inches
ISBN-13 978-8394527921
Weight 2.0 pounds
Format Hardcover

Customer Reviews

4.2 ★★★★☆ Based on 87 reviews
5 Stars
48%
4 Stars
32%
3 Stars
15%
2 Stars
3%
1 Star
2%
Prof. Richard M. March 12, 2024 ★★★★★

As someone who has studied mathematical logic for decades, I found this book to be an exceptional contribution to the literature. Kowalski's treatment of the Lwów–Warsaw School is both historically accurate and mathematically precise. The sections on Tarski's semantic theory of truth are particularly illuminating. This will become a standard text for advanced courses in mathematical logic and philosophy of mathematics.

Maria L. February 25, 2024 ★★★★☆

This is an excellent resource for graduate students in mathematics and philosophy. The historical context provided adds significant value to understanding the development of these theories. I would have given five stars, but some sections, particularly on Leśniewski's systems, could benefit from more examples to illustrate the abstract concepts. Nevertheless, it's a valuable addition to any mathematical logician's library.

Daniel K. February 10, 2024 ★★★☆☆

The content is undoubtedly valuable and well-researched, but readers should be aware that this is an advanced text that requires significant background in logic. As a third-year mathematics student, I found some sections quite challenging to follow. The historical context and philosophical discussions are accessible and fascinating, but the technical material demands prior knowledge. Would recommend for graduate students rather than undergraduates.

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