Reflections On The Philosophy of Mathematics By Dipak Chatterjee

Book Description

About the Authors

Dr. D. Chatterjee is a distinguished mathematician and educationist with a solid academic foundation from St. Xavier's College, Calcutta University, and the Indian Statistical Institute. He has contributed significantly to the field through textbooks on Mathematics and Statistics, along with nearly thirty published research papers in esteemed international journals. His experience includes visiting the International Centre for Pure and Applied Mathematics in France and serving as a Reader in Mathematics at the Technical University of Vienna. Dr. Chatterjee is actively engaged with various universities and scholarly organizations.

Mrs. S. Chatterjee, Dr. Chatterjee's wife, pursued her education in Philosophy at Calcutta University before advancing to research in the Philosophy of Science at Rabindra Bharati University. Her work, supported by notable scholars, has garnered appreciation both in India and internationally. She has published several research papers and is focused on exploring the scientific dimensions of Tantra Philosophy.

FOREWORD

The rapid advancement of scientific knowledge over the past two centuries prompts a critical examination of its necessity and relevance. The boundaries between disciplines have blurred, raising questions about survival and value amidst various overlapping theories. This monograph presents an insightful exploration of the philosophical aspects of mathematics, beginning with its nature in contemporary contexts and traversing philosophical schools, the concepts of space and time, intuition in mathematics, and future challenges facing the discipline.

Titled "Philosophy of Mathematics," the study aims to investigate the relevance of mathematics to human existence by analyzing its foundational concepts and essence. The authors emphasize that mathematics is a formal, abstract discipline, primarily symbolic and devoid of inherent meaning. Their comprehensive study spans from the mathematical works of ancient Greece and India to modern developments.

PREFACE

The quest for knowledge defines the essence of life, revealing unexpected beauty at every turn. This monograph reflects the authors' joy in exploring the Philosophy of Science, where countless ideas shine like stars. Their work centers on the core theme of the essence of mathematics, arranged to invite readers into a thoughtful journey through philosophical reflections, introspections, and conclusions.

While acknowledging potential disagreements, the authors believe that discourse enriches knowledge, even if it does not yield wisdom. They accept responsibility for any shortcomings in their work and welcome constructive feedback and criticism, viewing it as part of the ongoing pursuit of understanding.