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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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New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications
| New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications |
| Autore | Smarandache Florentin |
| Pubbl/distr/stampa | MDPI - Multidisciplinary Digital Publishing Institute, 2019 |
| Descrizione fisica | 1 online resource (714 p.) |
| Soggetto topico | History of engineering and technology |
| Soggetto non controllato |
?-level
accuracy function aggregation aggregation operations arithmetic averaging operator binad BNHHA aggregation operator BNHOWA aggregation operator BNHWA aggregation operator certainty function Choquet integral classical statistics clifford semigroup combined weighted average complex neutrosophic set complex neutrosophic soft expert set consumer's risk covering cubic sets De Morgan neutrosophic triples decision making decision-making dietary fat level distance measure e-marketing Einstein t-norm exponential similarity measure extended non-standard analysis extended nonstandard analysis extended nonstandard neutrosophic logic financial assets Function approximation fuzzy logic fuzzy numbers fuzzy parameterized single valued neutrosophic soft expert set generalized neutrosophic extended triplet group graph representation group decision making hypergroup idempotents implicator infinitely ?-distributive infinitesimals infinities Internet of Things intuitionistic fuzzy parameters left monad closed to the right logarithmic aggregation operators logarithmic operational laws low-carbon supplier selection MAGDM matrix representation maximizing deviation MCGDM problems membership function MoBiNad set monad multi-attribute decision making Multi-attribute decision making multi-attribute decision-making multi-attribute decision-making (MADM) multi-attribute group decision making multi-criteria decision making techniques multi-granulation neutrosophic rough set multicriteria decision-making n-person cooperative game NET-hypergroup Neutrosophic compound orthogonal neural network neutrosophic correlation neutrosophic cubic Einstein ordered weighted geometric operator (NCEOWG) neutrosophic cubic Einstein weighted geometric operator (NCEWG) neutrosophic cubic hybrid weighted arithmetic and geometric aggregation operator (NCHWAGA) neutrosophic cubic ordered weighted geometric operator (NCOWG) neutrosophic cubic sets neutrosophic cubic soft expert system neutrosophic cubic soft sets neutrosophic cubic weighted geometric operator (NCWG) neutrosophic extended triplet group neutrosophic extended triplet semihypergroup (NET-semihypergroup) Neutrosophic function neutrosophic goal programming approach neutrosophic logical relationship neutrosophic logical relationship groups Neutrosophic number neutrosophic numbers neutrosophic offconorm neutrosophic offnorm neutrosophic offset neutrosophic offuninorm neutrosophic quadruple numbers neutrosophic quadruple rings neutrosophic regression neutrosophic residual implications neutrosophic rings neutrosophic set neutrosophic sets neutrosophic soft rough neutrosophic statistical interval method neutrosophic statistics neutrosophic symmetric scenarios neutrosophic time series neutrosophic topology neutrosophic triangular norms neutrosophic weight neutrsophic set non-dual non-standard analysis non-standard neutrosophic mobinad set non-standard neutrosophic topology nonstandard analysis nonstandard arithmetic operations nonstandard neutrosophic infimum nonstandard neutrosophic lattices of first type (as poset) and second type (as algebraic structure) nonstandard neutrosophic logic nonstandard neutrosophic supremum nonstandard reals nonstandard unit interval numerical application objectness open and closed monads to the left/right optimization solution ordinary single valued neutrosophic (co)topology ordinary single valued neutrosophic base ordinary single valued neutrosophic neighborhood system ordinary single valued neutrosophic subbase ordinary single valued neutrosophic subspace paper defect diagnosis performance indicators pierced and unpierced binads pierced binad plithogeny port evaluation probabilistic neutrosophic hesitant fuzzy set (PNHFS) producer's risk producer's risk' prospector prostate cancer Q-neutrosophic set Q-neutrosophic soft set quality function deployment quasi-completely regular semigroup refined neutrosophic numbers refined neutrosophic quadruple numbers relations representable neutrosophic t-norms residuated lattices right monad closed to the left rough set approximation sample size sampling plan score function semihypergroup shale gas water management system simplified neutrosophic hesitant fuzzy set simplified neutrosophic set single valued neutrosophic set single valued neutrosophic sets single-valued neutrosophic linguistic set single-valued neutrosophic set single-valued neutrosophic soft number and its operations smart port soft expert set soft set soft sets standard reals supply chain sustainability metrics SVN soft weighted arithmetic averaging operator SVN soft weighted geometric averaging operator symmetric relation TOPSIS triangular neutrosophic cubic fuzzy number triangular neutrosophic number two universes uncertainty modeling uninorm unpierced binad visual tracking weighted average operator weighted geometric operator weighted multiple instance learning |
| ISBN | 3-03921-939-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910367741303321 |
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Smarandache Florentin
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| MDPI - Multidisciplinary Digital Publishing Institute, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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