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Making and Breaking Mathematical Sense : Histories and Philosophies of Mathematical Practice / / Roi Wagner
| Making and Breaking Mathematical Sense : Histories and Philosophies of Mathematical Practice / / Roi Wagner |
| Autore | Wagner Roi |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2017] |
| Descrizione fisica | 1 online resource (251 pages) |
| Disciplina | 510.1 |
| Soggetto topico |
Mathematics - Philosophy - History
Mathematics - History |
| Soggetto genere / forma |
History
Electronic books. |
| Soggetto non controllato |
Benedetto
Black-Scholes formula Eugene Wigner Friedrich W.J. Schelling George Lakoff Gilles Deleuze Hermann Cohen Hilary Putnam Johann G. Fichte Logic of Sensation Mark Steiner Rafael Nez Stanislas Dehaene Vincent Walsh Water J. Freeman III abbaco algebra arithmetic authority cognitive theory combinatorics conceptual freedom constraints economy gender role stereotypes generating functions geometry inferences infinities infinity mathematical cognition mathematical concepts mathematical cultures mathematical domains mathematical entities mathematical evolution mathematical interpretation mathematical language mathematical metaphor mathematical norms mathematical objects mathematical practice mathematical signs mathematical standards mathematical statements mathematics natural order natural sciences nature negative numbers number sense option pricing philosophy of mathematics reality reason relevance semiosis sexuality stable marriage problem |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title; Copyright; Dedication; Contents; Acknowledgments; Introduction; What Philosophy of Mathematics Is Today; What Else Philosophy of Mathematics Can Be; A Vignette: Option Pricing and the Black-Scholes Formula; Outline of This Book; Chapter 1: Histories of Philosophies of Mathematics; History 1: On What There Is, Which Is a Tension between Natural Order and Conceptual Freedom; History 2: The Kantian Matrix, Which Grants Mathematics a Constitutive Intermediary Epistemological Position; History 3: Monster Barring, Monster Taming, and Living with Mathematical Monsters.
History 4: Authority, or Who Gets to Decide What Mathematics Is AboutThe "Yes, Please!" Philosophy of Mathematics; Chapter 2: The New Entities of Abbacus and Renaissance Algebra; Abbacus and Renaissance Algebraists; The Emergence of the Sign of the Unknown; First Intermediary Reflection; The Arithmetic of Debited Values; Second Intermediary Reflection; False and Sophistic Entities; Final Reflection and Conclusion; Chapter 3: A Constraints-Based Philosophy of Mathematical Practice; Dismotivation; The Analytic A Posteriori; Consensus; Interpretation; Reality; Constraints; Relevance; Conclusion. Chapter 4: Two Case Studies of Semiosis in MathematicsAmbiguous Variables in Generating Functions; Between Formal Interpretations; Models and Applications; Openness to Interpretation; Gendered Signs in a Combinatorial Problem; The Problem; Gender Role Stereotypes and Mathematical Results; Mathematical Language and Its Reality; The Forking Paths of Mathematical Language; Chapter 5: Mathematics and Cognition; The Number Sense; Mathematical Metaphors; Some Challenges to the Theory of Mathematical Metaphors; Best Fit for Whom?; What Is a Conceptual Domain?; In Which Direction Does the Theory Go? So How Should We Think about Mathematical Metaphors?An Alternative Neural Picture; Another Vision of Mathematical Cognition; From Diagrams to Haptic Vision; Haptic Vision in Practice; Chapter 6: Mathematical Metaphors Gone Wild; What Passes between Algebra and Geometry; Piero della Francesca (Italy, Fifteenth Century); Omar Khayyam (Central Asia, Eleventh Century); Rene Descartes (France, Seventeenth Century); Rafael Bombelli (Italy, Sixteenth Century); Conclusion; A Garden of Infinities; Limits; Infinitesimals and Actual Infinities; Chapter 7: Making a World, Mathematically; Fichte. SchellingHermann Cohen; The Unreasonable Applicability of Mathematics; Bibliography; Index. |
| Record Nr. | UNINA-9910154298703321 |
Wagner Roi
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| Princeton, NJ : , : Princeton University Press, , [2017] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Selected Topics in Gravity, Field Theory and Quantum Mechanics
| Selected Topics in Gravity, Field Theory and Quantum Mechanics |
| Autore | Duplij Steven |
| Pubbl/distr/stampa | Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 |
| Descrizione fisica | 1 electronic resource (348 p.) |
| Soggetto topico |
Research & information: general
Physics |
| Soggetto non controllato |
semiheaps
ternary algebras para-associativity quantum mechanics gravity Clairaut equation Cho-Duan-Ge decomposition constraintless formalism canonical gravity covariance black holes quantum foundations non-axiomaticity detector clicks ensembles superposition principle arithmetic numbers vector space abstracting interpretations self-referentiality direct product direct power polyadic semigroup arity polyadic ring polyadic field Maxwell's vacuum equations Hamilton-Jacobi equation Klein-Gordon-Fock equation algebra of symmetry operators separation of variables linear partial differential equations Einstein field equation recursion operator Noether symmetry master symmetry conformable differential Poisson manifold diffeomorphism group current algebra symmetry current Lie algebra representation fock space generating functional distribution functions Lie-Poisson structure coherent states Lie-Poisson action Hilbert space linearization hamiltonian systems symmetry reduction integrability idiabatic states factorization heavenly type dynamical systems integrable dynamical systems dirac reduction hydrodynamic flows entropy vortex flows asymptotic conditions Kirchhoff's integral theorem quantum gravity and the problem of the Big Bang hidden Hermitian formulations of quantum mechanics stationary Wheeler-DeWitt system physical Hilbert space metric non-stationary Wheeler-DeWitt system |
| ISBN | 3-0365-5906-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910639990903321 |
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Duplij Steven
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| Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181) / / Umberto Zannier
| Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181) / / Umberto Zannier |
| Autore | Zannier Umberto |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2012] |
| Descrizione fisica | 1 online resource (175 p.) |
| Disciplina | 516.35 |
| Altri autori (Persone) | MasserDavid |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Algebraic geometry
Algebraic varieties Geometry, Algebraic Intersection theory Intersection theory (Mathematics) Mathematics Physical Sciences & Mathematics Geometry |
| Soggetto non controllato |
AndrЏort conjecture
ManinЍumford conjecture ManinЍumford issue ManinЍumfordВaynaud Pila S. Lang Shimura varieties abelian analogue arithmetic arithmetical analogue elliptic surfaces modular curves multiplicative algebraic groups number fields roots of unity singular invariants tori torsion points unlikely intersections |
| ISBN |
1-283-45705-9
9786613457059 1-4008-4271-9 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Notation and Conventions -- Introduction: An Overview of Some Problems of Unlikely Intersections -- Chapter 1: Unlikely Intersections in Multiplicative Groups and the Zilber Conjecture -- Chapter 2: An Arithmetical Analogue -- Chapter 3 Unlikely Intersections in Elliptic Surfaces and Problems of Masser -- Chapter 4: About the André-Oort Conjecture -- Appendix A: Distribution of Rational Points on Subanalytic Surfaces / Zannier, Umberto -- Appendix B: Uniformity in Unlikely Intersections: An Example for Lines in Three Dimensions / Masser, David -- Appendix C: Silverman's Bounded Height Theorem for Elliptic Curves: A Direct Proof / Masser, David -- Appendix D: Lower Bounds for Degrees of Torsion Points: The Transcendence Approach / Masser, David -- Appendix E: A Transcendence Measure for a Quotient of Periods / Masser, David -- Appendix F: Counting Rational Points on Analytic Curves: A Transcendence Approach / Masser, David -- Appendix G: Mixed Problems: Another Approach / Masser, David -- Bibliography -- Index |
| Record Nr. | UNINA-9910778928303321 |
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Zannier Umberto
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| Princeton, NJ : , : Princeton University Press, , [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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