Logic in Question: Talks from the Annual Sorbonne Logic Workshop (2011- 2019)

This contributed volume collects papers from the Logic in Question workshop, exploring historical, philosophical, and mathematical questions related to logic. It covers topics such as logic and analogy, Chinese logic, nineteenth-century British logic, logical diagrams, the role of logic in Louis Couturat's philosophy, the contributions of logical analysis to mathematics education, the exceptionality of logic, the logical expressive power of natural languages, and the unification of mathematics via topos theory. The book appeals to a wide range of researchers in the field.

Format: Hardback
Length: 750 pages
Publication date: 12 January 2023
Publisher: Springer Nature Switzerland AG

This contributed volume collects papers related to the Logic in Question workshop, which has taken place annually at Sorbonne University in Paris since 2011. Each year, the workshop brings together historians, philosophers, mathematicians, linguists, and computer scientists to explore questions related to the nature of logic and how it has developed over the years. As a result, chapter authors provide a thorough, interdisciplinary exploration of topics that have been studied in the workshop. Organized into three sections, the first part of the book focuses on historical questions related to logic, the second explores philosophical questions, and the third section is dedicated to mathematical discussions. Specific topics include:

Logic and analogy: This section examines the relationship between logic and analogy, exploring how they are used to understand and explain complex systems. It also discusses the challenges and limitations of using analogy in logic and how it can be improved.

Chinese logic: This section explores the development of logic in China, including the contributions of Chinese philosophers and logicians to the field. It also discusses the unique features of Chinese logic and how it differs from Western logic.

Nineteenth-century British logic (in particular Boole and Lewis Carroll): This section examines the development of logic in nineteenth-century Britain, including the contributions of Boole and Lewis Carroll to the field. It also discusses the influence of these logicians on later developments in logic and philosophy.

Logical diagrams: This section discusses the use of logical diagrams to represent and analyze logical systems. It explores the advantages and disadvantages of using diagrams and how they can be used to teach logic and improve understanding.

The place and value of logic in Louis Couturat's philosophical thinking: This section examines the place and value of logic in Louis Couturat's philosophical thinking, including his use of logic to develop a philosophical system that emphasizes the importance of intuition and imagination.

Contributions of logical analysis for mathematics education: This section discusses the contributions of logical analysis to mathematics education, including its use in teaching proof techniques, logical reasoning, and mathematical problem-solving.

The exceptionality of logic: This section explores the idea that logic is exceptional in its ability to explain and predict the behavior of natural and social systems. It discusses the challenges and limitations of this claim and how it can be tested and evaluated.

The logical expressive power of natural languages: This section examines the logical expressive power of natural languages, including their ability to represent complex ideas and relationships. It also discusses the challenges and limitations of using natural languages for logical reasoning and how they can be improved.

The unification of mathematics via topos theory: This section discusses the unification of mathematics via topos theory, including its use in developing a unified framework for understanding mathematical structures and concepts. It also discusses the advantages and limitations of topos theory and how it can be applied to other fields of study.

Logic in Question will appeal to pure logicians, historians of logic, philosophers, linguists, and other researchers interested in the history of logic, making this volume a unique and valuable contribution to the field.

Weight: 1304g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030944513
Edition number: 1st ed. 2022