@article{RIUMI_2014_1_7_3_367_0, author = {Daniele Molinini and Marco Panza}, title = {Sull'applicabilit\`a della matematica }, journal = {La Matematica nella Societ\`a e nella Cultura. Rivista dell'Unione Matematica Italiana}, volume = {7}, year = {2014}, pages = {367-395}, zbl = {1391.00031}, mrnumber = {3363740}, language = {it}, url = {http://dml.mathdoc.fr/item/RIUMI_2014_1_7_3_367_0} }
Molinini, Daniele; Panza, Marco. Sull'applicabilità della matematica . La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana, Tome 7 (2014) pp. 367-395. http://gdmltest.u-ga.fr/item/RIUMI_2014_1_7_3_367_0/
(1936), Language, truth, and logic, Victor Gollancz, London (trad. it. Linguaggio, verità e logica, Feltrinelli, Milano, 1961).
Applying mathematics: An attempt to design a philosophical problem', The Monist, vol. 83, pp. 209-27.
(2000), `(2012), The applicability of mathematics in science: Indispensability and ontology, Palgrave Macmillan, London.
On the explanatory role of mathematics in empirical science', British Journal for the Philosophy of Science, vol. 61, pp. 1-25. | MR 2601680 | Zbl 1202.00025
(2010), `Mathematical truth', Journal of Philosophy, vol. 70, pp. 661-80. | MR 485124
(1973) `An inferential conception of the application of mathematics', Noûs, vol. 45, pp. 345-74. | MR 2828665 | Zbl 1366.00022
e (2011), `Die Mathematik als Zweig der Logik', Blätter für Deutsche Philosophie, vol. 4, pp. 298-310. | Zbl 56.0043.08
(1930), `The miracle of applied mathematics', Synthese, vol. 127, pp. 265-77. | MR 1844678 | Zbl 0977.00006
(2001), ` (2012), An introduction to the philosophy of mathematics, Cambridge University Press, Cambridge.(1992), The mind of God, Penguin Book, London (trad. it. La mente di Dio, Mondadori, Milano, 1996)
Substantivalism, relationism and structural spacetime realism', Foundations of Physics, vol. 30, pp. 1605-28. | MR 1810191
(2000), `Mathematics in the physical sciences', Scientific American, vol. 211, pp. 128-146. | MR 164855
(1964), ` (1991), Frege: Philosophy of mathematics, Harvard University Press, Cambridge (MA).(1967), The character of physical law, MIT Press, Cambridge (MA) (trad. it. La legge fisica, Bollati Boringhieri, Torino, 1971). (1980), Science without numbers: A defence of nominalism, Blackwell, Oxford.
13, pp. 45-69; anche in , Realism, mathematics and modality, Blackwell, Oxford, 1989, pp. 53-78. | MR 1085718
(1982), `Realism and anti-realism about mathematics', Philosophical Topics, vol.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 , Logica e aritmetica, a cura di , Boringhieri, Torino, 1965). | MR 197272
(1884), (1893-1903), Grundgesetze der Arithmetik, 2 Voll., Pohle, Jena (trad. it parziale, I principi dell'aritmetica, in , Logica e aritmentica, a cura di , Boringhieri, Torino, 1965).The reasonable effectiveness of mathematics: partial structures and the application of group theory to physics', Synthese, vol. 125, pp. 103-20. | MR 1801017 | Zbl 1007.81005
(2000), `(2014), The Structure of the world: Metaphysics and representation, Oxford University Press, Oxford.
On representing the relationship between the mathematical and the empirical', Philosophy of Science, vol. 69, pp. 452-73. | MR 1933400
, e (2002), `FRENCH,. S. e In defence of ontic structural realism', in e (a cura di), Scientific structuralism, Springer, Berlin, pp. 25-42. | MR 2001906
(2011), ` , Le opere di Galileo Galilei: edizione nazionale sotto gli auspici di sua maestà il re d'Italia, a cura di , 20 voll., Barbera, Firenze, 1890-1909.What did mathematics do to physics?', History of Science, vol. 39, pp. 383-416. | MR 1877685
(2001), `Empirismus, Mathematik, Logik', Forschungen und Fortschritte, Vol. 5.
(1929), ` (1992), Natur und mathematisches Erkennen: Vorlesungen, gehalten 1919-1920 in Göttingen, a cura di , Birkhäuser, Basel.(1996), La visione matematica della realtà, Laterza, Roma-Bari.
The two faces of mathematical modeling: Objectivism vs subjectivism, simplicity vs complexity', in , e (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
(2002), `3 voll., Academic Press, New York. | MR 459067 | Zbl 0232.02040
, , e (1971-1990), Foundations of measurement,What is structural realism?', Studies in history and philosophy of science, vol. 29, pp. 409-24.
(1998), ` (1997), Naturalism in mathematics, Oxford University Press, Oxford.Review of Field's Science without numbers', Journal of Philosophy, vol. 79, pp. 523-34.
(1982), `(2014), Che cos'è una spiegazione matematica, Carocci, Roma.
Agnostic science. Towards a philosophy of data analysis', Foundations of Science, vol. 16, pp. 1-20. | MR 2764463 | Zbl 1213.00034
, e (2011), `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. | MR 3203239 | Zbl 1338.00043
, e (2014), `Mathematization of the science of motion and the birth of analytical mechanics: A historiographical note', in , e (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
(2002), ` e (2010), Il Problema di Platone, Carocci, Roma (ed. inglese aggiornata, Plato's problem. An introduction to mathematical platonism, Palgrave Macmillan, Basingstoke, 2013). (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).A new perspective on the problem of applying mathematics', Philosophia Mathematica, vol. 3, pp. 135-61. | MR 2061714 | Zbl 1062.00003
(2004), `A role for mathematics in the physical sciences', Noûs, vol. 41, pp. 253-75. | MR 2321070 | Zbl 1366.00037
(2007a), `Mathematical idealization', Philosophy of Science, vol. 74, pp. 957-67. | MR 2444977
(2007b), ` (2012), Mathematics and scientific representation, Oxford University Press, Oxford.How to avoid inconsistent idealizations', Synthese, vol. 191, pp. 2957-72. | MR 3240318
(2014), `The applicability of mathematics: Beyond mapping accounts', Philosophy of Science, vol. 80, pp. 398-412. | MR 3113118
(2013), `Apriority and application: Philosophy of mathematics in the modern period', in (a cura di), The Oxford handbook of philosophy of mathematics and logic, Oxford University Press, Oxford, pp. 29-50. | MR 2118373
(2005), `Mathematics and reality', Philosophy of Science, vol. 50, 523-48. | MR 732070 | Zbl 1223.00005
(1983), `The application of mathematics to natural science', Journal of Philosophy, vol. 86, pp. 449-480. | MR 1032469
(1989), `Mathematical rigor in physics', in (a cura di), Proof and knowledge in mathematics, Routledge, New York, pp. 158-70. | MR 1298021
(1992), ` (1998), The applicability of mathematics as a philosophical problem, Harvard University Press, Cambridge (MA).Mathematics - application and applicability', in (a cura di), The Oxford handbook of philosophy of mathematics and logic, Oxford University Press, Oxford, pp. 625-50. | MR 2118373
(2005), `Mathematics and physics: Strategies of assimilation', in (a cura di), The philosophy of mathematical practice, Oxford University Press, Oxford, pp. 417-40. | MR 2590934
(2008), `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
(1960), `The unreasonable uncooperativeness of mathematics in the natural sciences', The Monist, vol. 83, pp. 296-315.
(2000), `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.
(2006), `Structural realism: The best of both worlds?', Dialectica, vol. 43, pp. 99-124.
(1989), `Neo-Fregean foundation for real analysis: Some reflection on Frege's constraint', Notre Dame Journal of Formal Logic, vol. 41, pp. 317-34. | MR 1963485 | Zbl 1014.03012
(2000) `