Sull'applicabilità della matematica
La Matematica nella società e nella cultura, Série 1, Tome 7 (2014) no. 3, pp. 367-395.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

@article{RIUMI_2014_1_7_3_a3,
     author = {Molinini, Daniele and Panza, Marco},
     title = {Sull'applicabilit\`a della matematica},
     journal = {La Matematica nella societ\`a e nella cultura},
     pages = {367--395},
     publisher = {mathdoc},
     volume = {Ser. 1, 7},
     number = {3},
     year = {2014},
     zbl = {1391.00031},
     mrnumber = {3363740},
     language = {it},
     url = {http://geodesic.mathdoc.fr/item/RIUMI_2014_1_7_3_a3/}
}
TY  - JOUR
AU  - Molinini, Daniele
AU  - Panza, Marco
TI  - Sull'applicabilità della matematica
JO  - La Matematica nella società e nella cultura
PY  - 2014
SP  - 367
EP  - 395
VL  - 7
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/RIUMI_2014_1_7_3_a3/
LA  - it
ID  - RIUMI_2014_1_7_3_a3
ER  - 
%0 Journal Article
%A Molinini, Daniele
%A Panza, Marco
%T Sull'applicabilità della matematica
%J La Matematica nella società e nella cultura
%D 2014
%P 367-395
%V 7
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/RIUMI_2014_1_7_3_a3/
%G it
%F RIUMI_2014_1_7_3_a3
Molinini, Daniele; Panza, Marco. Sull'applicabilità della matematica. La Matematica nella società e nella cultura, Série 1, Tome 7 (2014) no. 3, pp. 367-395. http://geodesic.mathdoc.fr/item/RIUMI_2014_1_7_3_a3/

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. | DOI | MR | Zbl

Benacerraf, P. (1973) `Mathematical truth', Journal of Philosophy, vol. 70, pp. 661-80. | DOI | MR

Bueno, O. e Colyvan, M. (2011), `An inferential conception of the application of mathematics', Noûs, vol. 45, pp. 345-74. | DOI | MR | Zbl

Carnap, R. (1930), `Die Mathematik als Zweig der Logik', Blätter für Deutsche Philosophie, vol. 4, pp. 298-310. | Zbl

Colyvan, M. (2001), `The miracle of applied mathematics', Synthese, vol. 127, pp. 265-77. | DOI | MR | Zbl

Colyvan, M. (2012), An introduction to the philosophy of mathematics, Cambridge University Press, Cambridge. | DOI | MR | Zbl

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. | DOI | MR

Dyson, F. J. (1964), `Mathematics in the physical sciences', Scientific American, vol. 211, pp. 128-146. | DOI | MR

Dummett, M. (1991), Frege: Philosophy of mathematics, Harvard University Press, Cambridge (MA). | MR

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 | Zbl

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

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

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

French, S. (2000), `The reasonable effectiveness of mathematics: partial structures and the application of group theory to physics', Synthese, vol. 125, pp. 103-20. | DOI | MR | Zbl

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. | DOI | MR

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. | DOI | MR

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

Gingras, Y. (2001), `What did mathematics do to physics?', History of Science, vol. 39, pp. 383-416. | DOI | MR

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 | Zbl

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 | Zbl

Krantz, D. H., Luce, R. D., Suppes, P. e Tversky, A. (1971-1990), Foundations of measurement, 3 voll., Academic Press, New York. | MR | Zbl

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 | Zbl

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. | DOI | MR | Zbl

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. | DOI | MR | Zbl

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 | Zbl

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). | DOI | MR | Zbl

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 | Zbl

Pincock, C. (2004), `A new perspective on the problem of applying mathematics', Philosophia Mathematica, vol. 3, pp. 135-61. | DOI | MR | Zbl

Pincock, C. (2007a), `A role for mathematics in the physical sciences', Noûs, vol. 41, pp. 253-75. | DOI | MR | Zbl

Pincock, C. (2007b), `Mathematical idealization', Philosophy of Science, vol. 74, pp. 957-67. | DOI | MR

Pincock, C. (2012), Mathematics and scientific representation, Oxford University Press, Oxford. | DOI | MR | Zbl

Pincock, C. (2014), `How to avoid inconsistent idealizations', Synthese, vol. 191, pp. 2957-72. | DOI | MR

Rizza, D. (2013), `The applicability of mathematics: Beyond mapping accounts', Philosophy of Science, vol. 80, pp. 398-412. | DOI | MR

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. | DOI | MR

Shapiro, S. (1983), `Mathematics and reality', Philosophy of Science, vol. 50, 523-48. | DOI | MR | Zbl

Steiner, M. (1989), `The application of mathematics to natural science', Journal of Philosophy, vol. 86, pp. 449-480. | DOI | MR

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

Steiner, M. (1998), The applicability of mathematics as a philosophical problem, Harvard University Press, Cambridge (MA). | MR | Zbl

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. | DOI | MR

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. | DOI | MR

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 | Zbl

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. | DOI | MR | Zbl