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Plato's philosophy of mathematics / by Anders Wedberg
Plato's philosophy of mathematics / by Anders Wedberg
Autore Wedberg, Anders
Pubbl/distr/stampa Westport : Greenwood press, 1977
Descrizione fisica 154 p. ; 23 cm.
Disciplina 510.1
Soggetto topico Matematica - Filosofia
Platone
ISBN 0837194059
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000310749707536
Wedberg, Anders  
Westport : Greenwood press, 1977
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Plato's philosophy of mathematics / Anders Wedberg
Plato's philosophy of mathematics / Anders Wedberg
Autore Wedberg, Anders
Pubbl/distr/stampa Stockholm : Almqvist & Wiksell, [1955]
Descrizione fisica 154 p. ; 23 cm.
Disciplina 510.1
Soggetto topico Platone - Pensiero scientifico
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991003931489707536
Wedberg, Anders  
Stockholm : Almqvist & Wiksell, [1955]
Materiale a stampa
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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 [[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-9910813969303321
Panza M  
London : , : Palgrave Macmillan UK : , : Imprint : Palgrave Macmillan, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Platon et la recherche mathématique de son époque / CHarles Mugler
Platon et la recherche mathématique de son époque / CHarles Mugler
Autore Mugler, Charles
Pubbl/distr/stampa Strasbourg : Heitz, 1948
Descrizione fisica XXVIII, 426 p. : ill. ; 25 cm.
Disciplina 510.1
Soggetto topico Platone - Pensiero matematico
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione fre
Record Nr. UNISALENTO-991003931769707536
Mugler, Charles  
Strasbourg : Heitz, 1948
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Pluralism in mathematics: a new position in philosophy of mathematics [[electronic resource] /] / by Michèle Friend
Pluralism in mathematics: a new position in philosophy of mathematics [[electronic resource] /] / by Michèle Friend
Autore Friend Michèle
Edizione [1st ed. 2014.]
Pubbl/distr/stampa Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2014
Descrizione fisica 1 online resource (297 p.)
Disciplina 510.1
Collana Logic, Epistemology, and the Unity of Science
Soggetto topico Philosophy and science
Mathematical logic
Logic
Philosophy of Science
Mathematical Logic and Foundations
ISBN 94-007-7058-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction -- Part I. Motivating the Pluralist Position from Familiar Positions -- Chapter 1. Introduction. The Journey from Realism to Pluralism -- Chapter 2. Motivating Pluralism. Starting from Maddy’s Naturalism -- Chapter 3. From Structuralism to Pluralism -- Chapter 4. Formalism and Pluralism Co-written with Andrea Pedeferri -- Part II. Initial Presentation of Pluralism.- Chapter 5. Philosophical Presentation of Pluralism -- Chapter 6. Using a Formal Theory of Logic Metaphorically -- Chapter 7. Rigour in Proof Co-written with Andrea Pedeferri -- Chapter 8. Mathematical Fixtures -- Part III. Transcendental Presentation of Pluralism -- Chapter 9. The Paradoxes of Tolerance and the Transcendental Paradoxes -- Chapter 10. Pluralism Towards Pluralism -- Part IV. Putting Pluralism to Work. Applications -- Chapter 11. A Pluralist Approach to Proof in Mathematics -- Chapter 12. Pluralism and Together-Inconsistent Philosophies of Mathematics -- Chapter 13. Suggestions for Further Pluralist Enquiry -- Conclusion.
Record Nr. UNINA-9910484005303321
Friend Michèle  
Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2014
Materiale a stampa
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Poesia dell'universo : l'esplorazione matematica del cosmo / di Robert Osserman ; traduzione di Libero Sosio
Poesia dell'universo : l'esplorazione matematica del cosmo / di Robert Osserman ; traduzione di Libero Sosio
Autore Osserman, Robert
Pubbl/distr/stampa Milano : Longanesi & C., c1996
Descrizione fisica 204 p: ; 21 cm.
Disciplina 510.1
Altri autori (Persone) Sosio, Libero
Collana La lente di Galileo ; 2
Soggetto topico Matematica - Filosofia e teoria
ISBN 8830413585
165282 (cartonato - CDE)
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione ita
Record Nr. UNISALENTO-991004099999707536
Osserman, Robert  
Milano : Longanesi & C., c1996
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Poincare's philosophy / Elie Zahar
Poincare's philosophy / Elie Zahar
Autore ZAHAR, Elie
Pubbl/distr/stampa Chicago and La Salle : Open Court, copyr.2001
Descrizione fisica VIII, 264 p. ; 23 cm
Disciplina 510.1
Collana Philosophy/History of science
Soggetto (Persona) Poincare, Jules Henry
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISA-990001083060203316
ZAHAR, Elie  
Chicago and La Salle : Open Court, copyr.2001
Materiale a stampa
Lo trovi qui: Univ. di Salerno
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Primes and Particles [[electronic resource] ] : Mathematics, Mathematical Physics, Physics / / by Martin H. Krieger
Primes and Particles [[electronic resource] ] : Mathematics, Mathematical Physics, Physics / / by Martin H. Krieger
Autore Krieger Martin H
Edizione [1st ed. 2024.]
Pubbl/distr/stampa Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2024
Descrizione fisica 1 online resource (109 pages)
Disciplina 510.1
Soggetto topico Mathematics - Philosophy
Physics - Philosophy
Mathematical physics
Philosophy of Mathematics
Philosophy of Physics
Mathematical Physics
Theoretical, Mathematical and Computational Physics
ISBN 9783031497766
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Preface -- Witten on Mathematics and Physics -- Acknowledgments -- Contents -- About the Author -- Chapter 1: Introduction -- 1.1 Our Examples -- 1.2 The Ising Model in Two Dimensions: An Identity in a Manifold Presentation of Profiles -- 1.3 Dedekind-Weber -- 1.4 The Stability of Matter -- 1.5 Packaging Functions, Riemann Zeta Function -- Appendix -- A.1 Subheads of Dyson and Lenard´s 1967-1968 Papers on the Stability of Matter -- A.2 The ``Numbered´´ Flow of Theorems and Lemmas of the Dyson-Lenard Proof -- A.2.1 Theorems -- A.2.2 Lemmas -- A.3 The Flow of the Dyson-Lenard Proof, as Lemmas Hanging from a Tree of Theorems -- A.4 The Structure of Lieb and Thirring´s Argument in ``Bound for the Kinetic Energy of Fermions Which Proves the Stability of ... -- A.5 Subheads and Subtopics of C.N. Yang, ``The Spontaneous Magnetization [M] of a Two-Dimensional Ising Model´´ (1952) -- Chapter 2: Why Mathematical Physics? -- 2.1 The Big Ideas -- 2.2 Ising in Two Dimensions: An Identity in a Manifold Presentation of Profiles -- 2.3 Ising Susceptibility -- 2.4 Where´s the Physics? -- 2.5 Dedekind-Weber and Reciprocity -- Chapter 3: Learning from Newton -- 3.1 Lessons from Newton -- 3.2 Creativity -- 3.3 Mathematical Physics -- 3.4 Influence -- 3.5 The Apocalypse -- Chapter 4: Primes and Particles -- 4.1 The Thermodynamics and Music of the Numbers -- 4.2 A Potted History -- 4.3 Symmetry and Orderliness -- 4.4 Coherence -- 4.5 Decomposition -- 4.6 Hierarchy -- 4.7 Adding-Up and Linearity -- 4.8 Divisibility -- Chapter 5: So Far and in Prospect -- 5.1 Kinship and Particles -- 5.2 Primes and Particles -- 5.3 Effective Field Theory -- 5.4 Packaging Functions Connecting Spectra to Surprising Symmetries -- 5.4.1 Multiple Ways of Computing Packaging Functions, Revealing Other Symmetries in the Spectrum.
5.4.2 Algebraic, Arithmetic, Analytic: An Analogy of Analogies: Syzygies -- 5.5 The Right Particles or Parts -- 5.5.1 Fermions -- Chapter 6: Creation: When Something Appears Out of Nothing -- 6.1 Points -- 6.2 Vacua -- 6.3 Mathematical Sleight of Hand: So to Speak -- 6.4 Points, Again -- Chapter 7: Packaging ``Spectra´´ (as in Partition Functions and L/ζ-Functions) to Reveal Symmetries in Nature and in Numbers -- 7.1 Geometry and Harmony -- 7.2 Parts and the Right Parts -- 7.3 Plenitude -- 7.4 Manifold Perspectives or Profiles -- 7.5 Layers -- 7.6 Fermions -- 7.7 A Concrete Realization of the Dedekind-Weber Program -- 7.8 Another Multiplicity -- Chapter 8: Legerdemain in Mathematical Physics: Structure, ``Tricks,´´ and Lacunae in Derivations of the Partition Function of... -- 8.1 Examples -- 8.2 The Two-Dimensional Ising Model -- 8.2.1 The Meaning of the Numbers -- 8.2.2 An Amazing Invention -- 8.2.3 Employing a Device of the Past -- 8.2.4 Where Did That Come From? -- 8.2.5 ``A Useful Identity, Easily Seen´´ -- 8.2.6 Signposting Along the Way -- 8.2.7 ``Further Details of Simplifications Like This Will Not Be Reported Here´´ -- 8.3 The Stability of Matter -- 8.3.1 ``Hacking Through A Forest Of Inequalities´´ -- 8.3.2 ``Thomas-Fermi Atoms Do Not Bind´´ -- 8.3.3 ``An Elementary Identity, Fourier Analysts Are Quite Familiar with It. Gruesome Details, Nasty and Ghastly Calculations,... -- 8.4 Genealogy Reconsidered -- Chapter 9: Mathematical Physics -- Bibliography -- Index.
Record Nr. UNINA-9910841857903321
Krieger Martin H  
Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2024
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Principes de logique et de philosophie mathématique / Octav Onicescu
Principes de logique et de philosophie mathématique / Octav Onicescu
Autore Onicescu, Octav
Pubbl/distr/stampa Bucarest : Academie de la Republique Socialiste de Roumanie, 1971
Descrizione fisica 229 p. ; 24 cm
Disciplina 510.1
Soggetto topico Mathematics - Philosophy
Classificazione LC QA9.O54
AMS 00A30
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991002796449707536
Onicescu, Octav  
Bucarest : Academie de la Republique Socialiste de Roumanie, 1971
Materiale a stampa
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