Reuben Hersh: mathematician and writer on the nature of mathematics

Life and career

Hersh was born in New York City and became active in both mathematical research and the interpretation of mathematics for general readers. Over his long career he published technical papers on subjects such as partial differential equations, probability, random evolutions and linear operator equations, while also contributing essays that reached a broader audience. He continued writing and teaching into his later years and died in Santa Fe, New Mexico.

Work and central ideas

Hersh is best known for arguing that mathematics should be understood as a social and cultural enterprise rather than as an isolated realm of eternal, Platonic objects. He emphasized the fallible, communal, historical and practical aspects of mathematical work: proofs are human constructions, theorems gain authority through social processes, and mathematical meaning depends on practice and communication.

Major publications and recognition

Hersh authored and co‑authored pieces aimed at both specialists and general readers. He collaborated with Philip J. Davis on the influential book The Mathematical Experience, which won a National Book Award and brought public attention to questions about what mathematics is and how it matters. Hersh also wrote the accessible book What Is Mathematics, Really? and contributed articles to venues such as Scientific American and the Mathematical Intelligencer.

Selected themes and writings

• Technical fields: contributions to partial differential equations, random evolutions and operator theory (PDEs, probability).
• Philosophy of mathematics: a humanistic, practice‑based account contrasting with strict Platonism.
• Public engagement: essays and expositions in journals and magazines bringing mathematical ideas to wider audiences (Scientific American, Mathematical Intelligencer).

Legacy and significance

Hersh's work remains cited by scholars and teachers who value an interpretive view of mathematics that highlights people, institutions and education. His combination of rigorous technical research and reflective, readable prose influenced discussions in philosophy, mathematics education and science communication. For readers seeking an introduction to his outlook, his collaborative and solo books provide accessible entry points into ongoing debates about the nature and social role of mathematics.

Further information and selected writings can be found through archival and journal resources; for an overview of his public writing and technical publications consult relevant academic and popular indices.

Reuben Hersh | Academic profile | Birthplace | Technical topics | Probability work | Popular essays | Awards | Obituary