# Stewart Shapiro

#9,860

Most Influential Person Now

American philosopher

## Stewart Shapiro's AcademicInfluence.com Rankings

Stewart Shapirophilosophy Degrees

Philosophy

#554

World Rank

#1113

Historical Rank

#261

USA Rank

Logic

#192

World Rank

#427

Historical Rank

#89

USA Rank

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Philosophy

## Stewart Shapiro's Degrees

- PhD Philosophy University of California, Berkeley
- Bachelors Philosophy University of California, Berkeley

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## Why Is Stewart Shapiro Influential?

(Suggest an Edit or Addition)According to Wikipedia, Stewart Shapiro is O'Donnell Professor of Philosophy at the Ohio State University and distinguished visiting professor at the University of Connecticut. He is a leading figure in the philosophy of mathematics where he defends the abstract variety of structuralism.

## Stewart Shapiro's Published Works

### Published Works

- Mathematics without Numbers (1993) (1039)
- Philosophy of mathematics : structure and ontology (2004) (571)
- The Oxford Handbook of Philosophy of Mathematics and Logic (2005) (318)
- Vagueness in Context (2006) (315)
- Foundations Without Foundationalism: A Case for Second-Order Logic. (1994) (290)
- Varieties of Logic (2014) (174)
- Foundations without Foundationalism: A Case for Second-Order Logic (1994) (150)
- Thinking about Mathematics: The Philosophy of Mathematics (2000) (146)
- The Indispensability of Mathematics (2003) (131)
- Second-order languages and mathematical practice (1985) (120)
- Foundations Without Foundationalism (1991) (118)
- Identity, Indiscernibility, and ante rem Structuralism: The Tale of i and −i† (2007) (110)
- Proof and Truth: Through Thick and Thin (1998) (100)
- Epistemic and Intuitionistic Arithmetic (1985) (95)
- Categories, Structures, and the Frege-Hilbert Controversy: The Status of Meta-mathematics (2005) (78)
- New V, ZF, and Abstraction (1999) (64)
- Conservativeness and Incompleteness (1983) (63)
- Mathematics and Reality (1983) (53)
- All Things Indefinitely Extensible (2006) (52)
- Incompleteness, Mechanism, and Optimism (1998) (51)
- The Status of Logic (2000) (49)
- Modality and Ontology (1993) (47)
- WE HOLD THESE TRUTHS TO BE SELF-EVIDENT: BUT WHAT DO WE MEAN BY THAT? (2009) (47)
- Prolegomenon To Any Future Neo‐Logicist Set Theory: Abstraction And Indefinite Extensibility (2003) (44)
- “Neo-Logicist” Logic is not Epistemically Innocent (2000) (39)
- Mechanism, Mentalism, and Metamathematics. An Essay on Finitism. (1980) (35)
- Incompleteness and Inconsistency (2002) (34)
- Logical Consequence, Proof Theory, and Model Theory (2007) (33)
- Structure and Ontology (1989) (32)
- Do Not Claim Too Much: Second-order Logic and First-order Logic (1999) (31)
- Principles of reflection and second-order logic (1987) (31)
- Actual and Potential Infinity (2019) (31)
- Mechanism, Truth, and Penrose's New Argument (2003) (30)
- Foundations of Mathematics: Metaphysics, Epistemology, Structure (2004) (28)
- Simple Truth, Contradiction, and Consistency (2004) (26)
- Space, Number and Structure: A Tale of Two Debatest (1996) (25)
- AN “i” FOR AN i: SINGULAR TERMS, UNIQUENESS, AND REFERENCE (2012) (25)
- Philosophy of mathematics (1997) (24)
- Understanding Church's thesis (1981) (24)
- Computability, Proof, and Open-Texture (2006) (23)
- Higher-Order Logic or Set Theory: A False Dilemma (2012) (22)
- Where in the (World Wide) Web of Belief is the Law of Non‐contradiction?* (2007) (22)
- THE CLASSICAL CONTINUUM WITHOUT POINTS (2013) (21)
- Classical logic (2020) (20)
- All sets great and small: and I do mean ALL (2003) (20)
- Induction and indefinite extensibility: the Gödel sentence is true, but did someone change the subject? (1998) (18)
- Varieties of Pluralism and Relativism for Logic (2011) (18)
- Mathematical Structuralism (2018) (17)
- Survey of Basic Instructional Value in Humanistic Education. (1986) (16)
- Actuality and Essence (1986) (15)
- Varieties of Continua: From Regions to Points and Back (2018) (15)
- Institutionism, pluralism, and cognitive command (1996) (14)
- Structures and Logics: A Case for (a) Relativism (2014) (13)
- Life on the Ship of Neurath: Mathematics in the Philosophy of Mathematics (2012) (12)
- Logical pluralism and normativity (2017) (12)
- Second-order Logic, Foundations, and Rules (1990) (12)
- EPISTEMOLOGY OF MATHEMATICS: WHAT ARE THE QUESTIONS? WHAT COUNT AS ANSWERS? (2011) (12)
- The Instructional Values of Humanistic Educators: An Expanded, Empirical Analysis (1987) (11)
- Rationality and the Ethics of Logic (2006) (10)
- Systems between First-Order and Second-Order Logics (2001) (10)
- Necessity, Meaning, and Rationality: The Notion of Logical Consequence (2007) (10)
- The Limits of Logic : Higher-Order Logic and the Löwenheim-Skolem Theorem (1996) (10)
- The good, the bad and the ugly (2009) (10)
- The Guru, the Logician, and the Deflationist: Truth and Logical Consequence (2003) (10)
- Deflation and Conservation (2003) (9)
- Reasoning with Slippery Predicates (2008) (9)
- The Place of Confluent Education in the Human Potential Movement: A Historical Perspective (1998) (9)
- Computing with Numbers and Other Non-syntactic Things: De re Knowledge of Abstract Objects (2017) (9)
- Mathematics and Philosophy of Mathematics (1994) (9)
- Modeling and normativity: How much revisionism can we tolerate? (2001) (8)
- Towards a Point-free Account of the Continuous (2012) (8)
- I—Stewart Shapiro: Context, Conversation, and So‐Called ‘Higher‐order Vagueness’ (2005) (8)
- On the notion of effectiveness (1980) (8)
- Set Theory, Type Theory, and Absolute Generality (2014) (7)
- Remarks on the development of computability (1983) (7)
- Review: Stephen C. Kleene, Origins of Recursive Function Theory; Martin Davis, Why Godel Didn't have Church's Thesis; Stephen C. Kleene, Reflections on Church's Thesis (1990) (7)
- Truth, function and paradox (2011) (7)
- The Objectivity of Mathematics (2007) (7)
- Frege Meets Aristotle: Points as Abstracts (2015) (7)
- Philosophy of Mathematics and Its Logic: Introduction (2007) (7)
- Logic and science: science and logic (2021) (6)
- The Company Kept by Cut Abstraction (and its Relatives) (2011) (6)
- Vagueness and Logic (2011) (6)
- Logic, ontology, mathematical practice (1989) (6)
- Idealization, Mechanism, and Knowability (2016) (5)
- Regions-based two dimensional continua: The Euclidean case (2018) (5)
- Externalism, Anti-Realism, and the KK-Thesis (2006) (5)
- We Mean What We Say (2014) (5)
- Philosophy and Foundations of Mathematics: Epistemological and Ontological Aspects (2009) (5)
- Cardinals, Ordinals, and the Prospects for a Fregean Foundation (2018) (5)
- Theology and the Actual Infinite: Burley and Cantor (2011) (4)
- Higher-Order Vagueness (2005) (4)
- Neologicism, Frege's Constraint, and the Frege‐Heck Condition (2020) (4)
- Friedrich Waismann: The Open Texture of Analytic Philosophy (2019) (4)
- Why Anti-Realists and Classical Mathematicians Cannot Get Along (2001) (4)
- Higher-order Logic (2007) (4)
- Reasoning, Logic and Computation (1995) (3)
- Ontology via semantics? Introduction to the special issue on the semantics of cardinals (2017) (3)
- Introduction-Intensional Mathematics and Constructive Mathematics (1985) (3)
- The Nature and Limits of Abstraction (2004) (3)
- Foundationalism and Foundations of Mathematics (2000) (3)
- Open Texture and Analyticity (2019) (3)
- Vagueness, Open-Texture, and Retrievability (2013) (3)
- Sets and Abstracts – Discussion (2005) (3)
- Review: Set Theory and its Philosophy: A Critical Introduction (2005) (3)
- Inconsistency and Incompleteness, Revisited (2019) (3)
- The Work of John Corcoran: An Appreciation (1999) (3)
- Modality in mathematics (2020) (3)
- Classical Logic II: Higher‐Order Logic (2017) (3)
- Proving Things About the Informal (2015) (3)
- Vagueness, Metaphysics, and Objectivity (2010) (3)
- Possibilities, models, and intuitionistic logic: Ian Rumfitt’s The boundary stones of thought (2018) (3)
- FREGE MEETS ZERMELO: A PERSPECTIVE ON INEFFABILITY AND REFLECTION (2008) (3)
- The Metaphysics of Logic: Pluralism, relativism, and objectivity (2014) (2)
- Objectivity, Explanation, and Cognitive Shortfall (2012) (2)
- Mathematics in philosophy, Selected essays, by Charles Parsons, Cornell University Press, Ithaca, N.Y., 1983, 365 pp. (1988) (2)
- So truth is safe from paradox: now what? (2010) (2)
- The Meaning of Logical Terms (2015) (2)
- The “Triumph” of First-Order Languages (2001) (2)
- What is mathematical logic? (1978) (2)
- Philosophy of Mathematics and Its Logic (2005) (2)
- Frege on the Real Numbers (2019) (2)
- FREGE MEETS BROUWER (OR HEYTING OR DUMMETT) (2015) (2)
- Reviews-Philosophy of Mathematics: Structure and Ontology (1998) (1)
- Arithmetic Sinn and Effectiveness (1984) (1)
- Unwarranted philosophical assumptions in research on ANS (2021) (1)
- Changing the Subject: Quine, Putnam and Waismann on Meaning-Change, Logic, and Analyticity (2018) (1)
- What Numbers Could Be; What Objects Could Be (2016) (1)
- The Measure of Scottish Neo-Logicism (2009) (1)
- Kit Fine Precis. Discussion (2005) (1)
- Properties and Predicates, Objects and Names (2018) (1)
- Vagueness and Context (2016) (1)
- Computability, Notation, and de re Knowledge of Numbers (2022) (1)
- Does logical pluralism imply, or suggest, truth pluralism, or vice versa? (2019) (1)
- Mereological Singularism and Paradox (2021) (1)
- Resolving Frege’s Other Puzzle (2022) (1)
- Foundations: Structures, Sets, and Categories (2011) (1)
- Mathematics and Its Philosophy (2000) (1)
- A Scientific Enterprise?: Penelope Maddy's Second Philosophy (2009) (1)
- Set-Theoretic Foundations (2000) (1)
- Tarski’s Theorem and the Extensionality of Truth (2013) (1)
- Review of P. Maddy, Realism in Mathematics (1993) (1)
- Group nouns and pseudo‐singularity (2021) (1)
- Groups, sets, and paradox (2022) (1)
- Realism in Mathematics. Penelope Maddy (1993) (1)
- Refinements and Extensions II: Objects, Identity, and Abstracts (2006) (0)
- Life-meanings Survey (2016) (0)
- The Old Orthodoxy (Aristotle) vs the New Orthodoxy (Dedekind–Cantor) (2018) (0)
- GREG RAY LOGICAL CONSEQUENCE: A DEFENSE OF TARSKI* (2013) (0)
- The Nature of Vagueness: Humpty Dumpty Gets His Due (2006) (0)
- The Palmer House Hilton Hotel, Chicago, Illinois February 18–20, 2010 (2010) (0)
- The Historical ‘Triumph’ Of First‐Order Languages (2000) (0)
- Tarski’s Theorem and the Extensionality of Truth (2012) (0)
- Structures and Logics: A Case for (a) Relativism (2013) (0)
- Translating Logical Terms (2019) (0)
- Mathematics in Philosophy, Philosophy in Mathematics: Three Case Studies (2016) (0)
- Aristotelian and Predicative Continua (2018) (0)
- Second‐Order Logic and Mathematics (2000) (0)
- The Matter of Points (2018) (0)
- The Lady or the Tiger? and Other Logic Puzzles. By Raymond Smullyan (1985) (0)
- Does logical pluralism imply, or suggest, truth pluralism, or vice versa? (2019) (0)
- How We Got Here (2000) (0)
- Charles E. Rickart. Structuralism and Structures: A Mathematical Perspective. Singapore: World Scientific Publishing, 1995. pp. xiii + 219. ISBN 981-02-1860-5 (1998) (0)
- Recapitulation and Conclusion (2014) (0)
- THE AXIOM OF CHOICE IS FALSE INTUITIONISTICALLY (IN MOST CONTEXTS) (2022) (0)
- Book reviews (1984) (0)
- Review: Wilfried Sieg, Step by Recursive Step: Church's Analysis of Effective Calculability (1999) (0)
- Non-Euclidean Extensions (2018) (0)
- Second‐Order Logic and Rule‐Following (2000) (0)
- Ontology via semantics? Introduction to the special issue on the semantics of cardinals (2017) (0)
- Review: Charles Parsons, Mathematics in Philosophy, Selected Essays (1988) (0)
- On Richard’s When Truth Gives Out (2011) (0)
- Hume’s Principle, Bad Company, and the axiom of choice (2022) (0)
- Robert Lorne Victor Hale FRSE May 4, 1945 – December 12, 2017 (2018) (0)
- The Classical Continuum without Points Geo ¤ rey Hellman and (2012) (0)
- REVIEWS-Thinking about mathematics (2002) (0)
- Metaphysical Matters: Language, the World, and Objectivity (2006) (0)
- PREDICATIVISM AS A FORM OF POTENTIALISM (2021) (0)
- Modality, Structure, Ontology (2000) (0)
- Back Matter (1990) (0)
- Review of J. N. Crossley et al., What Is Mathematical Logic? (1976) (0)
- Book reviews (1984) (0)
- On an “empiricist” philosophy of mathematics (1984) (0)
- Real Numbers on an Aristotelian Continuum (2018) (0)
- Making Truth Safe for Intuitionists (2019) (0)
- Life Outside Mathematics (2000) (0)
- Interlude: The Place and Role of Model Theory (2006) (0)
- WELL-AND NON-WELL-FOUNDED FREGEAN EXTENSIONS 1 (2007) (0)
- Vagueness and Abstraction (2014) (0)
- Refinements and Extensions I: So-Called “Higher-Order Vagueness” (2006) (0)
- Corcoran the mathematician (2007) (0)
- The Classical Continuum without Points – CORRIGENDUM (2013) (0)
- A Start on Model Theory (2006) (0)
- Object and Truth (2000) (0)
- The George Boolos Memorial SymposiumDedicated to the memory of George Boolos (1940 9 4-1996 5 27) (1999) (0)
- Judson Chambers Webb. Mechanism, mentalism, and metamathematics. An essay on finitism. Synthese library, vol. 137. D. Reidel Publishing Company, Dordrecht, Boston, and London, 1980, xiii + 277 pp. (1986) (0)
- 10 All Things Indefinitely Extensible (0)
- Link’s Revenge: A Case Study in Natural Language Mereology (2019) (0)
- Introduction to Special Issue: The Emergence of Structuralism (2019) (0)
- A Note on Choice Principles in Second-order Logic (2020) (0)
- Connectives, Quantifiers, Logic (2006) (0)
- John Corcoran (2021) (0)
- Philosophy of Mathematics. Paul Benacerraf , Hilary Putnam (1985) (0)
- On Richard’s When Truth Gives Out (2012) (0)
- A Classical-Modal Interpretation of Smooth Infinitesimal Analysis (2020) (0)
- Translating Logical Terms (2016) (0)
- Ineffability within the limits of abstraction alone (2016) (0)
- Realizability as a Kind of Truth-Making (2019) (0)
- Torkel Franzén. Gödel's Theorem: An Incomplete Guide to its Use and Abuse. Wellesley, Mass.: AK Peters, 2005. x + 172 pp. ISBN1−56881−238−8. (2006) (0)
- Review: The Indispensability of Mathematics (2003) (0)
- What Is Mathematical Logic?John N. Crossley (1976) (0)
- Normativity in Language and Law (2016) (0)
- Book review (1998) (0)
- Terms and Questions (2000) (0)
- Epistemology and Reference (2000) (0)
- NEW V, ZF, AND ABSTRACTION 1,2 (2007) (0)
- "Call Me Dale"--A Case of Overprofessionalism? (1970) (0)
- Proof and other Dilemmas: Mathematical Objects (2008) (0)
- Reflective Inquiry on Practice (RIP) and the Development of the Writing Teacher (1996) (0)
- Book reviews (1987) (0)
- First-Order Logic (0)
- Theory and Meta-theory; Logic and Meta-logic II (2014) (0)
- Predicativity and Regions-Based Continua (2017) (0)
- The George Boolos Memorial Symposium II (1999) (0)
- Turing Projectαbility (2003) (0)
- Meaning and Context (2014) (0)
- 2010 Winter Meeting of the Association for Symbolic Logic (2010) (0)
- Relativism, Pluralism, Tolerance (2014) (0)
- Theories of Vagueness (2003) (0)
- Introduction (2020) (0)
- Recent Work in Philosophy of MathematicsNaturalism in MathematicsPhilosophy of Mathematics: Structure and OntologyMathematics as a Science of Patterns (2001) (0)

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## Other Resources About Stewart Shapiro

## What Schools Are Affiliated With Stewart Shapiro?

Stewart Shapiro is affiliated with the following schools: