Reuben Hersh

Reuben Hersh (1927-2020) was an American mathematician and academic who made significant contributions to both mathematics and the philosophy of mathematics. His work primarily focused on partial differential equations, random evolutions, and exploring the nature and social aspects of mathematical practice. During his career as Professor of Mathematics at the University of New Mexico, Hersh challenged conventional views about the foundations of mathematics. His most influential work, "The Mathematical Experience" (1981), co-authored with Philip J. Davis, won the National Book Award for Science and was translated into multiple languages. Hersh advocated for what he called a "humanist" philosophy of mathematics, arguing that mathematics is a human activity deeply rooted in social and cultural contexts. His other notable works include "What is Mathematics, Really?" (1997) and "18 Unconventional Essays on the Nature of Mathematics" (2006), which further developed these philosophical perspectives. Through his writings and lectures, Hersh consistently worked to bridge the gap between abstract mathematical concepts and their practical, human dimensions. His contributions helped reshape discussions about how mathematics is taught, understood, and integrated into broader intellectual discourse.

Readers appreciate Hersh's ability to make complex mathematical philosophy accessible. His book "The Mathematical Experience" receives praise for explaining mathematical concepts through historical and cultural contexts. Readers highlight: - Clear explanations of difficult mathematical ideas - Integration of social and philosophical perspectives - Engaging writing style that non-specialists can follow - Thought-provoking questions about mathematics' nature Common criticisms: - Some mathematical examples lack depth - Philosophical arguments can be repetitive - Writing occasionally strays from main points On Goodreads: "The Mathematical Experience" - 4.1/5 (300+ ratings) "What is Mathematics, Really?" - 3.8/5 (150+ ratings) On Amazon: "The Mathematical Experience" - 4.3/5 (50+ reviews) "What is Mathematics, Really?" - 4.0/5 (25+ reviews) One reader noted: "Hersh succeeds in showing how mathematics emerges from human activity rather than existing in some platonic realm." Another commented: "Makes you question everything you thought you knew about what math is."

What is Mathematics, Really? (1997) A philosophical examination of mathematics as a human activity shaped by social and cultural contexts rather than an abstract, eternal truth.

Loving and Hating Mathematics: Challenging the Myths of Mathematical Life (2010) An exploration of mathematicians' experiences, examining both positive and negative aspects of mathematical careers and culture.

The Mathematical Experience (1981, with Philip J. Davis) A discussion of mathematical thought, practice, and culture, covering historical developments and contemporary mathematical work.

Descartes' Dream: The World According to Mathematics (1986, with Philip J. Davis) An analysis of how mathematics has influenced modern society and technological development.

18 Unconventional Essays on the Nature of Mathematics (2005, as editor) A collection of essays by various authors examining mathematics from philosophical and sociological perspectives.

Mathematics: A Very Short Introduction (2002, with Philip J. Davis) A concise overview of mathematical concepts, history, and significance in human culture.

Philip Davis explores mathematics philosophy and the nature of mathematical thinking similar to Hersh's focus on the social aspects of mathematics. His work examines how mathematicians approach problems and develop understanding.

Keith Devlin writes about mathematical cognition and the foundations of mathematical thought from both philosophical and practical perspectives. His focus on how humans develop mathematical ideas aligns with Hersh's interest in the human elements of mathematics.

Mario Livio analyzes the relationship between mathematics and human culture through historical and philosophical lenses. His examination of mathematical discoveries and their cultural impact parallels Hersh's interest in mathematics as a human activity.

Roger Penrose investigates the connections between mathematics, physics, and consciousness with attention to foundational questions. His work addresses similar questions about the nature of mathematical truth that Hersh explores.

Ian Stewart focuses on mathematical concepts and their development through human history and scientific applications. His approach to explaining mathematical ideas through their human and historical context matches Hersh's perspective on mathematics as a social construct.