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Philosophy's Loss of Logic to Mathematics : An Inadequately Understood Take-Over / / by Woosuk Park
Philosophy's Loss of Logic to Mathematics : An Inadequately Understood Take-Over / / by Woosuk Park
Autore Park Woosuk
Edizione [1st ed. 2018.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
Descrizione fisica 1 online resource (XII, 230 p.)
Disciplina 510.1
Collana Studies in Applied Philosophy, Epistemology and Rational Ethics
Soggetto topico Logic
Mathematics
History
Mathematics—Philosophy
Mathematical logic
Epistemology
History of Mathematical Sciences
Philosophy of Mathematics
Mathematical Logic and Foundations
ISBN 3-319-95147-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction -- Frege’s Distinction Between “Falling Under” and “Subordination” -- Scotus, Frege and Bergmann -- Zermelo and the Axiomatic Method -- Between Bernays and Carnap -- On the Motivations of Goedel's Ontological Proof -- The Ontological Regress of Maddy's Mathematical Naturalism -- What If Haecceity Is Not a Property? -- Epilogue.
Record Nr. UNINA-9910300616103321
Park Woosuk  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Pi: The Next Generation : A Sourcebook on the Recent History of Pi and Its Computation / / by David H. Bailey, Jonathan M. Borwein
Pi: The Next Generation : A Sourcebook on the Recent History of Pi and Its Computation / / by David H. Bailey, Jonathan M. Borwein
Autore Bailey David H
Edizione [1st ed. 2016.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Descrizione fisica 1 online resource (XIV, 507 p.)
Disciplina 518
Soggetto topico Computer mathematics
Number theory
Mathematics
History
Computational Mathematics and Numerical Analysis
Number Theory
History of Mathematical Sciences
ISBN 3-319-32377-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Foreword -- Preface -- Introduction -- Computation of pi using arithmetic-geometric mean -- Fast multiple-precision evaluation of elementary functions -- The arithmetic-geometric mean of Gauss -- The arithmetic-geometric mean and fast computation of elementary functions -- A simplified version of the fast algorithms of Brent and Salamin -- Is pi normal? -- The computation of pi to 29,360,000 decimal digits using Borweins' quartically convergent algorithm -- Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, pi, and the ladies diary -- Vectorization of multiple-precision arithmetic program and 201,326,000 decimal digits of pi calculation.-Ramanujan and pi -- 11. Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi -- Pi, Euler numbers, and asymptotic expansions -- A spigot algorithm for the digits of pi -- On the rapid computation of various polylogarithmic constants -- Similarities in irrationality proofs for pi, ln 2, ζ(2), and ζ(3) -- Unbounded spigot algorithms for the digits of pi -- Mathematics by experiment: Plausible reasoning in the 21st century -- Approximations to pi derived from integrals with nonnegative integrands -- Ramanujan's series for 1/π: A survey -- The computation of previously inaccessible digits of π2 and Catalan's constant -- Walking on real numbers -- Birth, growth and computation of pi to ten trillion digits -- Pi day is upon us again and we still do not know if pi is normal -- The Life of pi -- I prefer pi: A brief mathematical history and anthology of articles in the American Mathematical Monthly -- Bibliography -- Index.
Record Nr. UNINA-9910254064403321
Bailey David H  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Pieces and Parts in Scientific Texts / / edited by Florence Bretelle-Establet, Stéphane Schmitt
Pieces and Parts in Scientific Texts / / edited by Florence Bretelle-Establet, Stéphane Schmitt
Edizione [1st ed. 2018.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
Descrizione fisica 1 online resource (VIII, 355 p.)
Disciplina 509
Collana Why the Sciences of the Ancient World Matter
Soggetto topico History
Epistemology
Mathematics
Linguistics
Printing
Publishers and publishing
History of Science
Humanities and Social Sciences, multidisciplinary
History of Mathematical Sciences
Linguistics, general
Printing and Publishing
ISBN 3-319-78467-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Part I: Introductory Remarks -- Chapter 1. Introduction (Florence Bretelle-Establet and Stéphane Schmitt) -- Chapter 2. Textual Places: “Parts of Text” and “Stretches of Text” (Julie Lefebvre) -- Part II: Material Parts of Texts -- Chapter 3. Segmentation of Texts in Old Babylonian Mathematics (Christine Proust) -- Chapter 4. Textual Segmentation in Babylonian Astral Science (Mathieu Ossendrijver) -- Part III: Organizational Strategies and Internal Architecture of Texts -- Chapter 5. Parts in Chinese Mathematical Texts. Interpreting the Chapter Form of The Nine Chapters on Mathematical Procedures (Karine Chemla and Zou Dahai) -- Chapter 6. “Parts of Text” in the Mathematical Literature of Ancient Greece. From the Author to His Commentator: the Example of Conics by Apollonius of Perga (Micheline Decorps) -- Chapter 7. Text Segmentation, Chapter Naming and the Transmission of Embedded Texts in South Asia, with Special Reference to the Medical and Philosophical Traditions as Exemplified by the Carakasaṃhitā and the Nyāyasūtra (Karin Preisendanz) -- Part IV: Intertextuality and Strategies to Bind Parts of Ideas, Parts of Works and Parts of Texts -- Chapter 8. Writing with and from Parts of the Discourses of Others in Chinese Medical Texts: Where Syntax and Layout Matter (Florence Bretelle-Establet) -- Chapter 9. Epigraphs as Parts of Text in Natural History Books in the Eighteenth Century: Between Intertextuality and the Architecture of the Book (Stéphane Schmitt) -- Chapter 10. Collecting Languages, Alphabets and Texts: the Circulation of “Parts of Texts” among Paper Cabinets of Linguistic Curiosities (Sixteenth–Seventeenth Centuries) (Fabien Simon).
Record Nr. UNINA-9910299808803321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018
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Lo trovi qui: Univ. Federico II
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Plato's Problem [[electronic resource] ] : An Introduction to Mathematical Platonism / / by M. Panza, A. Sereni
Plato's Problem [[electronic resource] ] : An Introduction to Mathematical Platonism / / by M. Panza, A. Sereni
Autore Panza M
Edizione [1st ed. 2013.]
Pubbl/distr/stampa London : , : Palgrave Macmillan UK : , : Imprint : Palgrave Macmillan, , 2013
Descrizione fisica 1 online resource (323 p.)
Disciplina 510.1
Soggetto topico Mathematics—Philosophy
Philosophy, Ancient
Mathematics
History
Logic
Philosophy
Philosophy of Mathematics
Classical Philosophy
History of Mathematical Sciences
History of Philosophy
ISBN 1-137-29813-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Contents; Preface; Acknowledgements; Terminological Conventions; Introduction; Platonism in the Philosophy of Mathematics; Nominalism in the Philosophy of Mathematics; The Indispensability Argument; 1 The Origins; 1.1 Plato as a Platonist?; 1.2 Aristotle Between Platonism and Anti-platonism; 1.3 Proclus: The Neoplatonic Interpretation of Euclid's Geometry; 1.4 Kant: The Transcendental Interpretation of Classical Arithmetic and Geometry; 2 From Frege to Gödel (Through Hilbert); 2.1 Frege's Logicist Platonism; 2.2 Russell and the Separation of Logicism and Platonism; 2.3 Set Theory
2.4 The Problem of Foundations2.5 Gödel's Platonism and the Rise of Mathematical Intuition; 3 Benacerraf's Arguments; 3.1 What Natural Numbers Could Not Be (According to Benacerraf); 3.2 Benacerraf's Dilemma; 3.3 A Map of Responses to Benacerraf's Dilemma: Contemporary Solutions to Plato's Problem; 4 Non-conservative Responses to Benacerraf's Dilemma; 4.1 Field's Nominalism: Mathematics Without Truth and Science Without Numbers; 4.2 Mathematics as Fiction: Field and Yablo; 4.3 Eliminative Structuralism and its Modal Version; 4.4 Maddy and the Cognitive Origins of Set Theory
5 Conservative Responses to Benacerraf's Dilemma5.1 Neo-logicism: A Revised Version of Frege's Programme; 5.2 Linsky, Zalta and 'Object Theory': Mathematics and Logic (or Metaphysics) of Abstract Objects; 5.3 A First Version of Non-eliminative Structuralism: Ante Rem Structuralism; 5.4 A Second Version of Non-eliminative Structuralism: Parsons and the Role of Intuition; 6 The Indispensability Argument: Structure and Basic Notions; 6.1 Four Versions of IA; 6.2 The Quine-Putnam Argument and Colyvan's Argument; 6.3 (In)dispensability; 6.4 Quine's Criterion of Ontological Commitment
6.5 Naturalism6.6 Confirmational Holism; 6.7 The Dispensability of Naturalism and Confirmational Holism; 7 The Indispensability Argument: The Debate; 7.1 Against Indispensability; 7.2 Against Ontological Commitment; 7.3 Against Naturalism and Scientific Realism; 7.4 Against Confirmational Holism; Concluding Remarks; Notes; References; Index
Record Nr. UNINA-9910786134103321
Panza M  
London : , : Palgrave Macmillan UK : , : Imprint : Palgrave Macmillan, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Plato's Problem : An Introduction to Mathematical Platonism / / by M. Panza, A. Sereni
Plato's Problem : An Introduction to Mathematical Platonism / / by M. Panza, A. Sereni
Autore Panza M
Edizione [1st ed. 2013.]
Pubbl/distr/stampa London : , : Palgrave Macmillan UK : , : Imprint : Palgrave Macmillan, , 2013
Descrizione fisica 1 online resource (323 p.)
Disciplina 510.1
Soggetto topico Mathematics—Philosophy
Philosophy, Ancient
Mathematics
History
Logic
Philosophy
Philosophy of Mathematics
Classical Philosophy
History of Mathematical Sciences
History of Philosophy
ISBN 1-137-29813-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Contents; Preface; Acknowledgements; Terminological Conventions; Introduction; Platonism in the Philosophy of Mathematics; Nominalism in the Philosophy of Mathematics; The Indispensability Argument; 1 The Origins; 1.1 Plato as a Platonist?; 1.2 Aristotle Between Platonism and Anti-platonism; 1.3 Proclus: The Neoplatonic Interpretation of Euclid's Geometry; 1.4 Kant: The Transcendental Interpretation of Classical Arithmetic and Geometry; 2 From Frege to Gödel (Through Hilbert); 2.1 Frege's Logicist Platonism; 2.2 Russell and the Separation of Logicism and Platonism; 2.3 Set Theory
2.4 The Problem of Foundations2.5 Gödel's Platonism and the Rise of Mathematical Intuition; 3 Benacerraf's Arguments; 3.1 What Natural Numbers Could Not Be (According to Benacerraf); 3.2 Benacerraf's Dilemma; 3.3 A Map of Responses to Benacerraf's Dilemma: Contemporary Solutions to Plato's Problem; 4 Non-conservative Responses to Benacerraf's Dilemma; 4.1 Field's Nominalism: Mathematics Without Truth and Science Without Numbers; 4.2 Mathematics as Fiction: Field and Yablo; 4.3 Eliminative Structuralism and its Modal Version; 4.4 Maddy and the Cognitive Origins of Set Theory
5 Conservative Responses to Benacerraf's Dilemma5.1 Neo-logicism: A Revised Version of Frege's Programme; 5.2 Linsky, Zalta and 'Object Theory': Mathematics and Logic (or Metaphysics) of Abstract Objects; 5.3 A First Version of Non-eliminative Structuralism: Ante Rem Structuralism; 5.4 A Second Version of Non-eliminative Structuralism: Parsons and the Role of Intuition; 6 The Indispensability Argument: Structure and Basic Notions; 6.1 Four Versions of IA; 6.2 The Quine-Putnam Argument and Colyvan's Argument; 6.3 (In)dispensability; 6.4 Quine's Criterion of Ontological Commitment
6.5 Naturalism6.6 Confirmational Holism; 6.7 The Dispensability of Naturalism and Confirmational Holism; 7 The Indispensability Argument: The Debate; 7.1 Against Indispensability; 7.2 Against Ontological Commitment; 7.3 Against Naturalism and Scientific Realism; 7.4 Against Confirmational Holism; Concluding Remarks; Notes; References; Index
Record Nr. UNINA-9910813969303321
Panza M  
London : , : Palgrave Macmillan UK : , : Imprint : Palgrave Macmillan, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Poetic Logic and the Origins of the Mathematical Imagination / / by Marcel Danesi
Poetic Logic and the Origins of the Mathematical Imagination / / by Marcel Danesi
Autore Danesi Marcel
Edizione [1st ed. 2023.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
Descrizione fisica 1 online resource (180 pages)
Disciplina 195
Collana Mathematics in Mind
Soggetto topico Llenguatge i llengües
Història de la filosofia
Mathematics
History
Cognitive science
Linguistics
History of Mathematical Sciences
Cognitive Science
Theoretical Linguistics / Grammar
Soggetto genere / forma Llibres electrònics
ISBN 3-031-31582-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- Imagination -- Ingenuity -- Memory -- Metaphor -- Logic -- Glossary -- References -- Index.
Record Nr. UNINA-9910736997303321
Danesi Marcel  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Poincaré, Philosopher of Science : Problems and Perspectives / / edited by María de Paz, Robert DiSalle
Poincaré, Philosopher of Science : Problems and Perspectives / / edited by María de Paz, Robert DiSalle
Edizione [1st ed. 2014.]
Pubbl/distr/stampa Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2014
Descrizione fisica 1 online resource (195 p.)
Disciplina 194
Collana The Western Ontario Series in Philosophy of Science, A Series of Books in Philosophy of Science, Methodology, Epistemology, Logic, History of Science, and Related Fields
Soggetto topico Philosophy and science
Epistemology
Philosophy of nature
Dynamics
Ergodic theory
Mathematics
History
Philosophy of Science
Philosophy of Nature
Dynamical Systems and Ergodic Theory
History of Mathematical Sciences
ISBN 94-017-8780-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- Introduction; Robert DiSalle and María de Paz -- Part I Poincaré’s Philosophy of Science -- 1 Portrait of Henri Poincaré as a young philosopher: the formative years (1860-1873); Laurent Rollet -- 2 The Invention of Convention; Janet Folina -- 3 The third way epistemology: A re-characterization of Poincaré’s conventionalism; María de Paz -- 4 Poincaré, Indifferent Hypotheses and Metaphysics; Antonio Videira -- Part II Poincaré on the Foundations of Mathematics -- 5 Poincaré in Göttingen; Reinhard Kahle -- 6 Poincaré on the Principles of the Calculus; Augusto J. Franco de Oliveira -- 7 Does the French Connection (Poincaré, Lautman) provide some insights regarding the thesis that meta-mathematics is an exception to the slogan that mathematics concerns structures?; Gerhard Heinzmann.- Part III Poincaré on the Foundations of Physics -- 8 Henri Poincaré: The status of mechanical explanations and the foundations of statistical mechanics; João Príncipe -- 9 Poincaré: A scientist inspired by his philosophy; Isabella Serra -- 10 Poincaré on the construction of space-time; Robert DiSalle -- Contributors -- Index.
Record Nr. UNINA-9910483422603321
Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Practical mathematics in a commercial metropolis : Mathematical life in late 16th century Antwerp / / by Ad Meskens
Practical mathematics in a commercial metropolis : Mathematical life in late 16th century Antwerp / / by Ad Meskens
Autore Meskens Ad
Edizione [1st ed. 2013.]
Pubbl/distr/stampa Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2013
Descrizione fisica 1 online resource (268 p.)
Disciplina 510.9
510.949322209031
Collana Archimedes, New Studies in the History and Philosophy of Science and Technology
Soggetto topico History
Mathematics
Physics
Architecture
History of Science
History of Mathematical Sciences
History and Philosophical Foundations of Physics
Architectural History and Theory
ISBN 1-299-40808-7
94-007-5721-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Preface -- 2 Introduction -- 3 The Family Coignet -- 4 Peeter Heyns and the Nymphs of the Laurel Tree -- 5 The Arithmetic Teacher and his School -- 6 The Antwerp arithmetic books -- 7 Winegauging -- 8 Instrumentmakers -- 9 The Art of Navigation -- 10 Mapping the World -- 11 Looking towards the Stars -- 12 Ballistics and fortifications -- 13 Conclusion -- Appendices -- Index.
Record Nr. UNINA-9910438325503321
Meskens Ad  
Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
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A Primer of Permutation Statistical Methods / / by Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke, Jr
A Primer of Permutation Statistical Methods / / by Kenneth J. Berry, Janis E. Johnston, Paul W. Mielke, Jr
Autore Berry Kenneth J
Edizione [1st ed. 2019.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
Descrizione fisica 1 online resource (XXIII, 476 p. 8 illus., 1 illus. in color.)
Disciplina 519.5
511.64
Soggetto topico Statistics 
Biostatistics
Combinatorics
Mathematics
History
Statistical Theory and Methods
Statistics for Life Sciences, Medicine, Health Sciences
History of Mathematical Sciences
ISBN 3-030-20933-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910349322903321
Berry Kenneth J  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
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Lo trovi qui: Univ. Federico II
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The Probability Integral : Its Origin, Its Importance, and Its Calculation / / by Paul J. Nahin
The Probability Integral : Its Origin, Its Importance, and Its Calculation / / by Paul J. Nahin
Autore Nahin Paul J
Edizione [1st ed. 2023.]
Pubbl/distr/stampa Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023
Descrizione fisica 1 online resource (205 pages)
Disciplina 530.15
519.2
Soggetto topico Mathematical physics
Engineering mathematics
Measure theory
Probabilities
Statistics
History
Mathematics
Mathematical Methods in Physics
Engineering Mathematics
Measure and Integration
Probability Theory
History of Statistics
History of Mathematical Sciences
ISBN 3-031-38416-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Chapter 1. De Moivre and the Discovery of the Probability Integral -- Chapter 2. Laplace’s First Derivation -- Chapter 3. How Euler Could Have Done It Before Laplace (but did he?) -- Chapter 4. Laplace’s Second Derivation -- Chapter 5. Generalizing the Probability Integral -- Chapter 6. Poisson’s Derivation -- Chapter 7. Rice’s Radar Integral -- Chapter 8. Liouville’s Theorem that Has No Finite Form -- Chapter 9. How the Error Function Appeared in the Electrical Response of the Trans-Atlantic Telegraph Cable -- Chapter 10. Doing the Probability Integral with Differentiation -- chapter 11. The Probability Integral as a Volume -- Chapter 12. How Cauchy Could Have Done It (but didn’t) -- Chapter 13. Fourier Has the Penultimate Technical Word -- Chapter 14. Finbarr Holland Has the Last Technical Word -- Chapter 15. A Final Comment on Mathematical Proofs.
Record Nr. UNINA-9910746094103321
Nahin Paul J  
Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023
Materiale a stampa
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