bdim: Biblioteca Digitale Italiana di Matematica

Un progetto SIMAI e UMI

Referenza completa

Molinini, Daniele and Panza, Marco:
Sull'applicabilità della matematica
La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana Serie 1 7 (2014), fasc. n.3 —Matematica e filosofia. Contributi al dialogo interdisciplinare, p. 367-395, (Italian)
pdf (354 Kb), djvu (256 Kb). | MR 3363740 | Zbl 1391.00031

Referenze Bibliografiche
AYER, A. J. (1936), Language, truth, and logic, Victor Gollancz, London (trad. it. Linguaggio, verità e logica, Feltrinelli, Milano, 1961).
AZZOUNI, J. (2000), `Applying mathematics: An attempt to design a philosophical problem', The Monist, vol. 83, pp. 209-27.
BANGU, S. (2012), The applicability of mathematics in science: Indispensability and ontology, Palgrave Macmillan, London.
BATTERMAN, R. (2010), `On the explanatory role of mathematics in empirical science', British Journal for the Philosophy of Science, vol. 61, pp. 1-25. | fulltext (doi) | MR 2601680 | Zbl 1202.00025
BENACERRAF, P. (1973) `Mathematical truth', Journal of Philosophy, vol. 70, pp. 661-80. | fulltext (doi) | MR 485124
BUENO, O. e COLYVAN, M. (2011), `An inferential conception of the application of mathematics', Noûs, vol. 45, pp. 345-74. | fulltext (doi) | MR 2828665 | Zbl 1366.00022
CARNAP, R. (1930), `Die Mathematik als Zweig der Logik', Blätter für Deutsche Philosophie, vol. 4, pp. 298-310. | Zbl 56.0043.08
COLYVAN, M. (2001), `The miracle of applied mathematics', Synthese, vol. 127, pp. 265-77. | fulltext (doi) | MR 1844678 | Zbl 0977.00006
COLYVAN, M. (2012), An introduction to the philosophy of mathematics, Cambridge University Press, Cambridge. | fulltext (doi) | MR 2985901 | Zbl 1255.00003
DAVIES, P. C. W. (1992), The mind of God, Penguin Book, London (trad. it. La mente di Dio, Mondadori, Milano, 1996)
DORATO, M. (2000), `Substantivalism, relationism and structural spacetime realism', Foundations of Physics, vol. 30, pp. 1605-28. | fulltext (doi) | MR 1810191
DYSON, F. J. (1964), `Mathematics in the physical sciences', Scientific American, vol. 211, pp. 128-146. | fulltext (doi) | MR 164855
DUMMETT, M. (1991), Frege: Philosophy of mathematics, Harvard University Press, Cambridge (MA). | MR 1260677
FEYNMAN, R. P. (1967), The character of physical law, MIT Press, Cambridge (MA) (trad. it. La legge fisica, Bollati Boringhieri, Torino, 1971).
FIELD, H. (1980), Science without numbers: A defence of nominalism, Blackwell, Oxford. | MR 591456 | Zbl 0454.00015
FIELD, H. (1982), `Realism and anti-realism about mathematics', Philosophical Topics, vol. 13, pp. 45-69; anche in H. Field, Realism, mathematics and modality, Blackwell, Oxford, 1989, pp. 53-78. | MR 1085718
FREGE, G. (1884), Die Grundlagen der Arithmetik. Eine logisch-mathematische Untersuchung über den Begriff der Zahl, Koebner, Breslau (trad. it. I fondamenti dell'aritmetica. Un'indagine logico-matematica sul concetto di numero, in G. Frege, Logica e aritmetica, a cura di C. Mangione, Boringhieri, Torino, 1965). | MR 197272
FREGE, G. (1893-1903), Grundgesetze der Arithmetik, 2 Voll., Pohle, Jena (trad. it parziale, I principi dell'aritmetica, in G. Frege, Logica e aritmentica, a cura di C. Mangione, Boringhieri, Torino, 1965). | MR 197272
FRENCH, S. (2000), `The reasonable effectiveness of mathematics: partial structures and the application of group theory to physics', Synthese, vol. 125, pp. 103-20. | fulltext (doi) | MR 1801017 | Zbl 1007.81005
FRENCH, S. (2014), The Structure of the world: Metaphysics and representation, Oxford University Press, Oxford.
FRENCH, S., BUENO, O. e LADYMAN, J. (2002), `On representing the relationship between the mathematical and the empirical', Philosophy of Science, vol. 69, pp. 452-73. | fulltext (doi) | MR 1933400
FRENCH,. S. e LADYMAN, J. (2011), `In defence of ontic structural realism', in A. Bokulich e P. Bokulich (a cura di), Scientific structuralism, Springer, Berlin, pp. 25-42. | fulltext (doi) | MR 2001906
GALILEO GALILEI, Le opere di Galileo Galilei: edizione nazionale sotto gli auspici di sua maestà il re d'Italia, a cura di A. Favaro, 20 voll., Barbera, Firenze, 1890-1909. | Zbl 30.0005.01
GINGRAS, Y. (2001), `What did mathematics do to physics?', History of Science, vol. 39, pp. 383-416. | fulltext (doi) | MR 1877685
HAHN, H. (1929), `Empirismus, Mathematik, Logik', Forschungen und Fortschritte, Vol. 5.
HILBERT, D. (1992), Natur und mathematisches Erkennen: Vorlesungen, gehalten 1919-1920 in Göttingen, a cura di D.E. Rowe, Birkhäuser, Basel. | MR 1316394 | Zbl 0741.01030
ISRAEL, G. (1996), La visione matematica della realtà, Laterza, Roma-Bari.
ISRAEL, G. (2002), `The two faces of mathematical modeling: Objectivism vs subjectivism, simplicity vs complexity', in P. Cerrai, P. Freguglia e P. Pellegrini (a cura di), The application of mathematics to the sciences of nature. Critical moments and aspects, Kluwer, New York, pp. 233-243. | MR 2057630 | Zbl 1253.00007
KRANTZ, D. H., LUCE, R. D., SUPPES, P. e TVERSKY, A. (1971-1990), Foundations of measurement, 3 voll., Academic Press, New York. | MR 459067 | Zbl 0232.02040
LADYMAN, J. (1998), `What is structural realism?', Studies in history and philosophy of science, vol. 29, pp. 409-24.
MADDY, P. (1997), Naturalism in mathematics, Oxford University Press, Oxford. | MR 1699270 | Zbl 0931.03003
MALAMENT, D. (1982), `Review of Field's Science without numbers', Journal of Philosophy, vol. 79, pp. 523-34.
MOLININI, D. (2014), Che cos'è una spiegazione matematica, Carocci, Roma.
NAPOLETANI, D., PANZA, M. e STRUPPA, D. (2011), `Agnostic science. Towards a philosophy of data analysis', Foundations of Science, vol. 16, pp. 1-20. | fulltext (doi) | MR 2764463 | Zbl 1213.00034
NAPOLETANI, D., PANZA, M. e STRUPPA, D. (2014), `Is big data enough? A reflection on the changing role of mathematics in applications', Notices of the American Mathematical Society, vol. 61, pp. 485-90. | fulltext (doi) | MR 3203239 | Zbl 1338.00043
PANZA, M. (2002), `Mathematization of the science of motion and the birth of analytical mechanics: A historiographical note', in P. Cerrai, P. Freguglia e P. Pellegrini (a cura di), The application of mathematics to the sciences of nature. Critical moments and aspects, Kluwer, New York, pp. 253-71. | MR 2057631 | Zbl 1253.01048
PANZA, M. e SERENI, A. (2010), Il Problema di Platone, Carocci, Roma (ed. inglese aggiornata, Plato's problem. An introduction to mathematical platonism, Palgrave Macmillan, Basingstoke, 2013). | fulltext (doi) | MR 3115057 | Zbl 1277.00026
PENROSE, R. (1989), The emperor's new mind: Concerning computers, mind,and the laws of physics, Oxford University Press, Oxford (trad. it. La nuova mente dell'imperatore, Rizzoli, Milano, 1992). | MR 1048125 | Zbl 0749.00009
PINCOCK, C. (2004), `A new perspective on the problem of applying mathematics', Philosophia Mathematica, vol. 3, pp. 135-61. | fulltext (doi) | MR 2061714 | Zbl 1062.00003
PINCOCK, C. (2007a), `A role for mathematics in the physical sciences', Noûs, vol. 41, pp. 253-75. | fulltext (doi) | MR 2321070 | Zbl 1366.00037
PINCOCK, C. (2007b), `Mathematical idealization', Philosophy of Science, vol. 74, pp. 957-67. | fulltext (doi) | MR 2444977
PINCOCK, C. (2012), Mathematics and scientific representation, Oxford University Press, Oxford. | fulltext (doi) | MR 2594387 | Zbl 1257.00007
PINCOCK, C. (2014), `How to avoid inconsistent idealizations', Synthese, vol. 191, pp. 2957-72. | fulltext (doi) | MR 3240318
RIZZA, D. (2013), `The applicability of mathematics: Beyond mapping accounts', Philosophy of Science, vol. 80, pp. 398-412. | fulltext (doi) | MR 3113118
SHABEL, L. (2005), `Apriority and application: Philosophy of mathematics in the modern period', in S. Shapiro (a cura di), The Oxford handbook of philosophy of mathematics and logic, Oxford University Press, Oxford, pp. 29-50. | fulltext (doi) | MR 2118373
SHAPIRO, S. (1983), `Mathematics and reality', Philosophy of Science, vol. 50, 523-48. | fulltext (doi) | MR 732070 | Zbl 1223.00005
STEINER, M. (1989), `The application of mathematics to natural science', Journal of Philosophy, vol. 86, pp. 449-480. | fulltext (doi) | MR 1032469
STEINER, M. (1992), `Mathematical rigor in physics', in Detlefsen, M. (a cura di), Proof and knowledge in mathematics, Routledge, New York, pp. 158-70. | MR 1298021
STEINER, M. (1998), The applicability of mathematics as a philosophical problem, Harvard University Press, Cambridge (MA). | MR 1678125 | Zbl 0945.00003
STEINER, M. (2005), `Mathematics - application and applicability', in S. Shapiro (a cura di), The Oxford handbook of philosophy of mathematics and logic, Oxford University Press, Oxford, pp. 625-50. | fulltext (doi) | MR 2118373
URQUHART, A. (2008), `Mathematics and physics: Strategies of assimilation', in P. Mancosu (a cura di), The philosophy of mathematical practice, Oxford University Press, Oxford, pp. 417-40. | fulltext (doi) | MR 2590934
WIGNER, E. P. (1960), `The unreasonable effectiveness of mathematics in the natural sciences', Communications on Pure and Applied Mathematics, vol. 13, pp. 1-14. | MR 824292 | Zbl 0102.00703
WILSON, M. (2000), `The unreasonable uncooperativeness of mathematics in the natural sciences', The Monist, vol. 83, pp. 296-315.
WILHOLT, T. (2006), `Lost in the way from Frege to Carnap: How the philosophy of science forgot the applicability problem', Grazer Philosophische Studien, vol. 73, pp. 69-82.
WORRALL, J. (1989), `Structural realism: The best of both worlds?', Dialectica, vol. 43, pp. 99-124.
WRIGHT, C. (2000) `Neo-Fregean foundation for real analysis: Some reflection on Frege's constraint', Notre Dame Journal of Formal Logic, vol. 41, pp. 317-34. | fulltext (doi) | MR 1963485 | Zbl 1014.03012

La collezione può essere raggiunta anche a partire da EuDML, la biblioteca digitale matematica europea, e da mini-DML, il progetto mini-DML sviluppato e mantenuto dalla cellula Math-Doc di Grenoble.

Per suggerimenti o per segnalare eventuali errori, scrivete a

logo MBACCon il contributo del Ministero per i Beni e le Attività Culturali