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