# Reuben Hersh

#2,783

Most Influential Person Now

American mathematician

## Reuben Hersh's AcademicInfluence.com Rankings

Reuben Hershmathematics Degrees

Mathematics

#304

World Rank

#653

Historical Rank

#145

USA Rank

Measure Theory

#1319

World Rank

#1663

Historical Rank

#468

USA Rank

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Mathematics

## Why Is Reuben Hersh Influential?

(Suggest an Edit or Addition)According to Wikipedia, Reuben Hersh was an American mathematician and academic, best known for his writings on the nature, practice, and social impact of mathematics. Although he was generally known as Reuben Hersh, late in life he sometimes used the name Reuben Laznovsky in recognition of his father's ancestral family name. His work challenges and complements mainstream philosophy of mathematics.

## Reuben Hersh's Published Works

### Published Works

- The Number Sense: How the Mind Creates Mathematics. (1998) (2437)
- The Mathematical Experience (1982) (1273)
- What is Mathematics, Really? (1998) (351)
- Proving is convincing and explaining (1993) (281)
- Some proposals for reviving the philosophy of mathematics (1979) (227)
- Descartes' Dream: The World According to Mathematics (1986) (187)
- The “Origin” of Geometry (2002) (166)
- Random evolutions: A survey of results and problems (1974) (108)
- What is Mathematics (2000) (104)
- Theory of random evolutions with applications to partial differential equations (1971) (99)
- Random evolutions, markov chains, and systems of partial differential equations. (1969) (89)
- Mathematics has a front and a back (1991) (81)
- High-Accuracy Stable Difference Schemes for Well-Posed Initial-Value Problems (1979) (74)
- 18 Unconventional Essays on the Nature of Mathematics (2013) (64)
- How Humans Learn to Think Mathematically. Exploring the Three Worlds of Mathematics (2015) (63)
- Brownian Motion and Potential Theory (1969) (52)
- Non-Cantorian Set Theory (1967) (42)
- Boundary conditions for equations of evolution (1964) (41)
- Non-commuting random evolutions, and an operator-valued Feynman-Kac formula (1972) (35)
- Experiencing Mathematics: What Do We Do, When We Do Mathematics? (2014) (34)
- Random evolutions are asymptotically gaussian (1972) (33)
- Explicit solution of a class of higher-order abstract Cauchy problems (1970) (32)
- FRESH BREEZES IN THE PHILOSOPHY OF MATHEMATICS (1995) (30)
- Loving + Hating Mathematics: Challenging the Myths of Mathematical Life (2010) (27)
- A visit to Hungarian mathematics (1993) (24)
- Prove—Once More and Again (1997) (24)
- The method of transmutations (1975) (21)
- The Birth of Random Evolutions (2003) (20)
- The Mathematical Experience, Study Edition (2011) (20)
- Mathematics and Ethics (1990) (19)
- MATH LINGO VS. PLAIN ENGLISH : DOUBLE ENTENDRE (1997) (18)
- On surface waves with finite and infinite speed of propagation (1965) (13)
- Introducing imre lakatos (1978) (13)
- Hilbert's 10th Problem (1973) (12)
- A class of “central limit theorems” for convolution products of generalized functions (1969) (11)
- Mathematics, poetry and beauty (2015) (10)
- Why the Faulhaber Polynomials Are Sums of Even or Odd Powers of (n + 1/2) (2012) (10)
- The Companion Guide to the Mathematical Experience (1995) (7)
- Perturbation and approximation theory for higher-order abstract Cauchy problems (1972) (7)
- Direct solution of general one-dimensional linear parabolic equation via an abstract plancherel formula. (1969) (7)
- What I Would Like My Students to Already Know About Proof (2010) (7)
- Stochastic solutions of hyperbolic equations (1975) (7)
- What Kind of Thing is a Number?: A Talk With Reuben Hersh (1997) (6)
- How to Classify Differential Polynomials (1973) (6)
- On the invariance principle of scattering theory (1973) (6)
- Inner Vision, Outer Truth (2006) (6)
- On the Nature of Mathematical Entities (2017) (5)
- The Origin of Insight in Mathematics (2017) (5)
- Definition of mathematics (2013) (5)
- Under-represented Then Over-represented: A Memoir of Jews in American Mathematics (2010) (5)
- Opinion: Mathematics and ethics (1990) (5)
- Reply to Martin Gardner (2001) (5)
- Stochastic differentials and quasi-standard random variables (1975) (4)
- From Counting to Quaternions -- The Agonies and Ecstasies of the Student Repeat Those of D'Alembert and Hamilton (2011) (4)
- Alvin White, A Man of Courage (2011) (4)
- Mathematical Intuition (Poincaré, Polya, Dewey) (2011) (4)
- ETHICS FOR MATHEMATICIANS (2011) (4)
- Mathematical menopause, or, a young man’s game? (2001) (3)
- Mathematical discourse: the link from pre-mathematical to fully mathematical thinking (2006) (3)
- On vibration, diffusion, or equilibrium across a plane interface (1966) (3)
- On the Theory of Difference Schemes for Mixed Initial Boundary Value Problems (1968) (3)
- A Perturbation Series for Cauchy's Problem for Higher-Order Abstract Parabolic Equations. (1970) (3)
- The Companion Guide to the Mathematical Experience, Study Edition (2003) (3)
- Mathematics as an Empirical Phenomenon, Subject to Modeling (2017) (3)
- Pluralism as Modeling and as Confusion (2017) (3)
- Social Constructivism as a Philosophy of Mathematics.@@@What is Mathematics, Really? (1999) (3)
- Hyperbolic equations with coefficients in an enveloping algebra (1979) (3)
- To establish new mathematics, we use our mental models and build on established mathematics (2013) (3)
- Message Passing System for closely coupled multiprocessor system (1991) (2)
- Problems for Solutions: E1631-E1640 (1963) (2)
- On The Interdisciplinary Study of Mathematical Practice, with a Real Live Case Study (2007) (2)
- Review of How Humans Learn to Think Mathematically: Exploring the Three Worlds of Mathematics (2017) (2)
- Heron's Area Formula: What About a Tetrahedron? (2004) (2)
- Proof and other Dilemmas: Mathematical Practice as a Scientific Problem (2008) (1)
- On the General Theory of Mixed Problems (1970) (1)
- Open Peer Commentaries (2008) (1)
- Let's Teach Philosophy of Mathematics!. (1990) (1)
- “Now” Has an Infinitesimal Positive Duration (2017) (1)
- Narrative and Mathematics (2016) (1)
- Which Is to Be Master—V (2014) (1)
- A Young Man's Game? (2001) (1)
- Rhetoric and mathematics (with Philip J. Davis) (2013) (1)
- Varieties of Mathematical Experience (2012) (1)
- Challenging the Myths of Mathematical Life (2011) (1)
- Peter Lax, Mathematician: An Illustrated Memoir (2014) (1)
- Maxwell’s coefficients are conditional probabilities (1974) (1)
- Introduction to part 3 (2013) (1)
- The Number Sense: How the Mind Creates Mathematics. Stanislas Dehaene (1998) (1)
- Man Muss Immer Generalisieren. [one Must Always Generalize.] — Attributed to Balances and Pseudoflows F.. Unbalanced Flows (2017) (0)
- Family life: Son, husband, father, grandfather (2014) (0)
- Media Highlights (2006) (0)
- Review of Letters to a young mathematician by Ian Stewart (2013) (0)
- 7. Gender and Age in Mathematics (2010) (0)
- Review of How mathematicians think by William Byers (2013) (0)
- Problems and Solutions: 5001-5006 (1962) (0)
- The famous CDC 6600 bomb-scare adventure (2014) (0)
- Freud on math (1995) (0)
- 8. The Teaching of Mathematics: Fierce or Friendly? (2010) (0)
- Media Highlights (2010) (0)
- Mathematics and the Search for Knowledge. By Morris Kline (1987) (0)
- Media Highlights (2004) (0)
- 3. Mathematics as Solace (2010) (0)
- 5. Friendships and Partnerships (2010) (0)
- DIRECT SOLUTiON OF GENERAL ONE-DJM.AJENSIONA, L LINEAR PARABOLIC EQUATION VIA AN (2016) (0)
- How mathematicians convince each other or “The kingdom of math is within you” (2013) (0)
- Media Highlights (2003) (0)
- o ssocz ' atl ' on r ' omen matics (0)
- Death and Mathematics Poems (2013) (0)
- Media Highlights (2003) (0)
- Media Highlights (2003) (0)
- Media Highlights (2005) (0)
- Media Highlights (2009) (0)
- 9. Loving and Hating School Mathematics (2010) (0)
- Media Highlights (2002) (0)
- Media Highlights (2004) (0)
- Wings, not foundations! (2013) (0)
- From Certainty to Fallibility (2012) (0)
- Media Highlights (2008) (0)
- Ethnomathematics: A Multicultural View of Mathematical Ideas (Marcia Ascher) (1993) (0)
- Novelty Wins, “Straight Toward Objective” Loses! or Book Review: Why Greatness Cannot Be Planned: The Myth of the Objective, by Kenneth O. Stanley and Joel Lehman (2015) (0)
- Problems for Solution: E1671-E1680 (1964) (0)
- Media Highlights (2001) (0)
- Refuge from misery and suffering (2008) (0)
- Media Highlights (2006) (0)
- Rigor & Structure by John P. Burgess (2017) (0)
- Reviews (2015) (0)
- Media Highlights (2000) (0)
- Media Highlights (2007) (0)
- Media Highlights (2000) (0)
- Media Highlights (2001) (0)
- Media Highlights (2001) (0)
- Media Highlights (2009) (0)
- Which Is to Be Master—V (2013) (0)
- Introduction to part 1 (2013) (0)
- Introduction to John Lax (2014) (0)
- Entr’acte. Peter’s stories (2014) (0)
- Peter D. Lax curriculum vitae (2014) (0)
- Number and Numbers by Alain Badiou, translated by Robin Mackay (2009) (0)
- Proofs and refutations: Imre Lakatos, Edited by John Worral and Elie Zahar. Cambridge University Press, 1976, 174 pp. (1978) (0)
- Reviews (2009) (0)
- Media Highlights (2004) (0)
- Media Highlights (2007) (0)
- Media Highlights (2002) (0)
- Media Highlights (2010) (0)
- Review of Perfect rigor by Masha Gessen (2013) (0)
- A University Mathematician's View of What's Wrong With University Mathematics Education (1995) (0)
- Media Highlights (2005) (0)
- How to do and write math research (1997) (0)
- Paul Cohen and Forcing in 1963 (2011) (0)
- Media Highlights (2007) (0)
- Letters to a young mathematician (2007) (0)
- Mathematics as an Empirical Phenomenon, Subject to Modeling (2017) (0)
- The Classroom Encounter (1999) (0)
- Problems for Solution: E1621-E1630 (1963) (0)
- A Note to Instructors (1995) (0)
- Introduction to part 2 (2013) (0)
- Media Highlights (2003) (0)
- Media Highlights (2006) (0)
- Enigmas of chance: Mark Kac, Harper & Row, 1985, 163 pp. (1986) (0)
- Knowledge in Numbers (1984) (0)
- Death and Mathematics Poems (2013) (0)
- Rigor & Structure by John P. Burgess (2017) (0)
- Filtering WebPages forQuality Indicators: AnEmpirical Approach to Finding HighQuality Consumer Health Information on theWorldWideWeb (1999) (0)
- Media Highlights (2001) (0)
- Media Highlights (2010) (0)
- Problems for Solution: E1591-E1600 (1963) (0)
- Media Highlights (2005) (0)
- Creative Transformations of Ethical Challenges (2014) (0)
- 4. Mathematics as an Addiction: Following Logic to the End (2010) (0)
- Independent Thinking (2003) (0)
- Media Highlights (2008) (0)
- Media Highlights (2009) (0)
- Media Highlights (2003) (0)
- The three-dimensional wave equation in a characteristic quarter-space (1967) (0)
- Book Review: Selected papers of Peter Lax (2006) (0)
- Media Highlights (2000) (0)
- 1. Mathematical Beginnings (2010) (0)
- Review of The mathematician’s brain by David Ruelle (2013) (0)
- The Mathematical Landscape (2012) (0)
- From A Liberal Education, by Abbott Gleason, pages 314–317, on John Lax (2014) (0)
- Selected Topics in Mathematics (2012) (0)
- Media Highlights (2000) (0)
- Sample Group Activities (1995) (0)
- Media Highlights (2005) (0)
- Media Highlights (2007) (0)
- Media Highlights (2002) (0)
- A prodigy and his family have a narrow escape (2014) (0)
- The Social Life of Numbers: A Quechua Ontology of Numbers and Philosophy of Arithmetic. Gary Urton (1999) (0)
- True facts about imaginary objects (2013) (0)
- 6. Mathematical Communities (2010) (0)
- John Lax article on Chicago jazz musicians (2014) (0)
- Manhattan, NY, and Manhattan Project. An army private among the “Martians” (2014) (0)
- Lecture : Supplies, Demands, and Pseudoflows [sp'''] .. Reduction to Maximum Flow (2016) (0)
- An amusing elementary example (2013) (0)
- Media Highlights (2008) (0)
- Book reviews (1993) (0)
- list of Chauvenet Prize winners (2013) (0)
- Media Highlights (2009) (0)
- Media Highlights (2002) (0)
- Media Highlights (2000) (0)
- The Best Undergraduate Math Program You've Never Heard Of (2010) (0)
- Media Highlights (2006) (0)
- Media Highlights (2009) (0)
- Book Reviews (2009) (0)
- Media Highlights (2002) (0)
- Review of Not exactly ... in praise of vagueness by Kees van Deemter (2013) (0)
- Problems for Solution: 5141-5150 (1963) (0)
- Media Highlights (2004) (0)
- Reviews (1970) (0)
- Media Highlights (2005) (0)
- Media Highlights (2007) (0)
- Applied Mathematics (2019) (0)
- Media Highlights (2008) (0)
- Media Highlights (2010) (0)
- 2. Mathematical Culture (2010) (0)
- Topics for Expository Research Papers (1995) (0)
- In Memoriam: Nicholas D. Kazarinoff (1992) (0)
- Media Highlights (2006) (0)
- The queen of Norway (2014) (0)
- Poincaré's Prize (2009) (0)
- Media Highlights (2001) (0)
- Review of Number and numbers by Alain Badiou (2013) (0)
- The closed graph theorem (2014) (0)
- Difference schemes. Shocks. Solitons. Scattering. Lax-Milgram. Polya’s curve. Etc. (2014) (0)
- Intuition vs. Monsters (1998) (0)
- The wedding (2006) (0)
- List of Peter Lax’s doctoral students (from the Mathematics Genealogy Project) (2014) (0)
- The Mathematical Experience and Mathematics Tomorrow (1983) (0)
- Pure AND applied, not VERSUS applied (2014) (0)
- LUCIANO FLORID I MATHEMATICAL SKEPTICISM: A SKETCH WITH HISTORIAN IN FOREGROUND (2021) (0)
- The Disciplinarity of Mathematical Practice 1 (2015) (0)
- Perfect Rigor by Masha Gessen (2010) (0)
- The ideal mathematician (with Philip J. Davis) (2013) (0)
- Media Highlights (2008) (0)

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## Other Resources About Reuben Hersh

## What Schools Are Affiliated With Reuben Hersh?

Reuben Hersh is affiliated with the following schools:

## What Are Reuben Hersh's Academic Contributions?

Reuben Hersh is most known for their academic work in the field of mathematics. They are also known for their academic work in the fields of

Reuben Hersh has made the following academic contributions: