Kant's Mathematical World: Mathematics, Cognition, and Experience

Kant's Mathematical World aims to transform our understanding of Kant's philosophy of mathematics and his account of the mathematical character of the world. Daniel Sutherland reconstructs Kant's project of explaining both mathematical cognition and our cognition of the world in terms of our most basic cognitive capacities, situating him in a long mathematical tradition with roots in Euclid's Elements. He shows that Kant thought of mathematics as a science of magnitudes and their measurement, and all objects of experience as extensive magnitudes whose real properties have intensive magnitudes, thus tying mathematics directly to the world.

Format: Hardback
Length: 300 pages
Publication date: 28 October 2021
Publisher: Cambridge University Press

Kant's Mathematical World is a groundbreaking work that seeks to revolutionize our understanding of Kant's philosophy of mathematics and his account of the mathematical character of the world. In this comprehensive reconstruction, Daniel Sutherland endeavors to elucidate Kant's project of explaining both mathematical cognition and our cognition of the world in terms of our most fundamental cognitive capacities. By situating Kant within a long mathematical tradition that traces its roots back to Euclid's Elements, Sutherland recovers the distinct way of thinking about mathematics that existed prior to its arithmetization in the nineteenth century. He demonstrates that Kant viewed mathematics as a science of magnitudes and their measurement, and all objects of experience as extensive magnitudes whose real properties have intensive magnitudes, thus establishing a direct connection between mathematics and the world.

This book is a must-read for anyone interested in Kant's critical philosophy, whether they are intrigued by his account of the world of experience, his philosophy of mathematics, or the interplay between the two. Kant's Mathematical World offers a fresh and insightful perspective on his thought, shedding light on the profound connections between mathematics and the broader philosophical framework he developed. Through his meticulous analysis and clear exposition, Sutherland provides a valuable contribution to the ongoing debate about the nature and significance of mathematics in the modern world.

Weight: 604g
Dimension: 236 x 159 x 24 (mm)
ISBN-13: 9781108429962