Ontology and the Mathematization of the Scientific Enterprise

[1] Browder, F. E. [ 197 6], Mathematical Developments Arisingfrom Hilbert Problems (Proceedings of Symposia in Pure Mathematics, Vol. 28, Part.1). Providence: American Mathematical Society.Search in Google Scholar

[2] Bub, J. [2014], ‘ Quantum Entanglement and Information ‘, The Stanford Encyclopedia of Philosophy (http://plato.stanford.edu/archives/fall2014/entries/qt-entangle/).Search in Google Scholar

[3] Cantor. G. [1955], Contribution to the Founding of the Theory of Transfinite Numbers. New York: Dover.Search in Google Scholar

[4] da Costa, N. C. A. [1980], Ensaio sobre os Fundamentos da Lógica. São Paulo: Hucitec.Search in Google Scholar

[5] da Costa, N. C. A. [2002], Logic and ontology, Principia 6 (2), 279-98.Search in Google Scholar

[6] Dewey, J. [ 1938], Experience and Education. Toronto: Collier-MacMillan Canada Ltd.Search in Google Scholar

[7] d’Espagnat, B. [1983], In Search of Reality. New York: Springer.10.1007/978-3-642-87050-7Search in Google Scholar

[8] Domenech, G., Holik, F. and Krause, D., ‘ Q-spaces and the foundations of quantum mechanics’, Foundations of Physics 38 (11), 969-99410.1007/s10701-008-9246-9Search in Google Scholar

[9] French, S. and Krause, D., [2006], Jdentity in Physics: a Historical, Philosophical and Formal Analysis, Oxford: Oxford Un. Press.Search in Google Scholar

[10] Galilei, G. [1 967], Dialogue Concerning the Two Chie/World Systems: Ptolemaic and Copernican. New York: The Modem Library.Search in Google Scholar

[11] Griffiths, D. J. [2005], Introduction to Quantum Mechanics, 2nd.ed. New Jersey: Pearson Prentice Hall.Search in Google Scholar

[12] Ketterle, W. [2001], Nobel Lecture. The Official Website ofthe Nobel Prize:http://www.nobelprize.org/nobel_prizes/physics/laureates/2001/ketterle-lecture.htmlSearch in Google Scholar

[13] Husserl, E. [1970], The Crisis of European Sciences and Transcendental Phenomenology. Trans. David Carr. Evanston: Nortbwestem Un. Press.Search in Google Scholar

[14] Kosso, P. [1998], Appearance and Reality: An Jntroduction to the Philosophy of Physics. New York: Oxford Un. Press.10.1119/1.18974Search in Google Scholar

[15] Krause, D. and Arenhart, J. R. B. [2014] Logical reflections on the semantic approach. Forthcoming.Search in Google Scholar

[16] Krause, D.; Arenhart, J. R. B.; Moraes, F. T. F., [2011] Axiomatization and models of scientific theories. Foundations of Science, 16, 363-382.10.1007/s10699-011-9226-ySearch in Google Scholar

[17] Lorenzen, P. (1971 ], Differential and integral: a constructive introduction to classical analysis. Un. Texas Press.Search in Google Scholar

[18] Loux, M. J. [1998] Metaphysics: a contemporary introduction. Routledge: London and New York.Search in Google Scholar

[19] Magalhães, J. C. and Krause, D. [2001 ], Suppes predicate for genetics and natural selection, Journal o/Theoretical Biology 209 (2), 141-53.10.1006/jtbi.2000.2243Search in Google Scholar

[20] Maitland Right, J. D. [1973], All operators on a Hilbert space are bound. Buli. Am. Math. Soe. 71(6), 1247-1250.10.1090/S0002-9904-1973-13399-3Search in Google Scholar

[21] Mittelstaedt, P., [2005], ‘ Quantum physics and classical physics - in tbe light of quantum logic ‘. International Journa/ of Theoretical Physics 44(7), 771-781.10.1007/s10773-005-7055-xSearch in Google Scholar

[22] Nagel, E., Suppes, P. and Tarski, A. (eds.) [1962], logic, Methodology and Philosophy of Science: Proceedings of the 1960 International Congress. Stanford: Stanford Un. Press.Search in Google Scholar

[23] Penrose, R. [2004], The Road to Reality. New York: Vintage Books.Search in Google Scholar

[24] Post, H. [J 963] Individuality in pbysics. The listener, 10 October 1963, 534-537. Reprinted in (1973) Vedantafor East and West, 14-22.Search in Google Scholar

[25] Redhead, M. [ 1987], Incompleteness, Non-Locality and Realism: A Prolegomenon to the Philosophy of Quantum Mechanics. Oxford: Clarendon Press.Search in Google Scholar

[26] Redhead, M. and Teller, P., [1991], ‘Particles, particle labels, and quanta: the toll of unacknowledged metaphysics’, Foundations of Physics 21, 43-62.10.1007/BF01883562Search in Google Scholar

[27] Rovelli, C. [2013], Aristotle’s physics. <arXiv: 1312.4057v l>Search in Google Scholar

[28] Saunders, S. [2003] Physics and Leibniz’s Principies. In: Brading, K., and Castellani, E., (eds), Symmetries in Physics: Philosophical Reflections, Cambridge:Cambridge Un. Press, 289-307.Search in Google Scholar

[29] Schrödinger, E. [1952], Science and Humanism. Cambridge: Cambridge Un. Press.Search in Google Scholar

[30] Stachel, J. [2005], ‘Structural realism and contextual individuality’, in Ben- Menahem, Y. (ed.), Hila1y Putnam. Cambridge: Cambridge Un. Press, 203-219.10.1017/CBO9780511614187.008Search in Google Scholar

[31] Suppes, P. [2002], Representation and Invariance of Scientific Structures. Stanford: CLSI.Search in Google Scholar

[32] Weyl, H. [ 1949], Philosophy of Mathematics and Natural Science. Princeton: Princeton Un. Press.Search in Google Scholar