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 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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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 | ||
Lo trovi qui: Univ. del Salento | ||
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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 |
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 |
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 |
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 | ||
Lo trovi qui: Univ. Federico II | ||
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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 |
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 |
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 |
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 | ||
Lo trovi qui: Univ. del Salento | ||
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