The advancement of knowledge is the big goal in human understanding. To get it, we often have to push beyond the frontier of knowledge, where our understanding dissolves and where new, strange entities appear. These require bold explorations and the consequent discoveries are not idle mind games, but crucial tools for our future life. And to have a method for carrying out these explorations is essential.
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References
Sagan, C.: Cosmos. Random House, New York (1980)
Cellucci, C.: Rethinking Logic. Logic in Relation to Mathematics, Evolution, and Method. Springer, New York (2013)
Hamming, R. 1980. The Unreasonable Effectiveness of Mathematics. Am. Math. Monthly 87(2), 81–90 (1980)
Dummett, M.: Frege. Philosophy of Mathematics. Duckworth, London (1991)
Hintikka, J.: Logic, Language-Games and Information. Oxford University Press, Oxford (1973)
Rota, G.C.: Indiscrete Thoughts. Birkhäuser, Boston (1997)
Cellucci, C.: Le ragioni della logica. Laterza, Roma-Bari (1998)
Cellucci, C.: Filosofia e Matematica. Laterza, Roma-Bari (2002)
Mancosu, P.: The Philosophy of Mathematical Practice. Cambridge University Press, Cambridge (2008)
Lakatos, I.: Proofs and Refutations. Cambridge University Press, Cambridge (1976)
Nickles, T. (ed.): Scientific Discovery, Logic and Rationality. Reidel, Dordrecht (1980)
Nickles, T. (ed.): Scientific Discovery: Case Studies. Reidel, Dordrecht (1980)
Nickles, T., Meheus, J. (eds.): Models of Discovery and Creativity. Springer, New York (2009)
Cellucci, C., Gillies, D.: Mathematical Reasoning and Heuristics. College Publications, London (2005)
Gillies, D. (ed.): Revolutions in Mathematics, pp. 353, xi. Oxford University Press, Oxford (1992)
Kantorovich, A.: Scientific Discovery: Logic and Tinkering. Suny Press, New York (1993)
Groshoz, E.: Representation and Productive Ambiguity in Mathematics and the Sciences. Oxford University Press, New York (2007)
Grosholz, E., Breger, H.: The Growth of Mathematical Knowledge. Springer, New York (2000)
Magnani, L.: Abduction, Reason, and Science. Processes of Discovery and Explanation. Kluwer Academic, New York (2001)
Magnani, L., Nersessian, N.J. (eds.): Model-Based Reasoning. Scientific Discovery, Technological Innovation, Values. Kluwer Academic, New York (2002)
Magnani, L., Nersessian, N.J., Thagard, P. (eds.): Model-Based Reasoning in Scientific Discovery. Kluwer Academic, New York (1999)
Bacon, F.: (1620) In: Jardine, L., Silverthorne, M. (eds.) Novum Organon. Cambridge University Press, Cambridge (2000)
Laudan, L.: Why Was the Logic of Discovery Abandoned? In: Nickles, T. (ed.) Scientific Discovery, Logic, and Rationality, pp. 173–183. Reidel, Dordrecht (1980)
Wolpert, D.H., Macready, W.G.: No free lunch theorems for search. Technical Report SFI-TR-95-02-010 (Santa Fe Institute) (1995)
Wolpert, D.H., Macready, W.G.: No free lunch theorems for optimization. IEEE Trans. Evol. Comput. 1, 67 (1997)
Friedman, M.: The methodology of positive economics. In: Caldwell, B. (ed.) Appraisal and Criticism in Economics: A Book of Readings. Allen & Unwin, London (1953) (reprinted in 1984)
Fama, E.F.: Efficient capital markets: a review of theory and empirical work. J. Finance 25(2), 383–417 (1970)
Soros, G.: The Alchemy of Finance. Wiley, New York (1987)
Sornette, D.: Why Stock Markets Crash: Critical Events in Complex Financial Systems. Princeton University Press, Princeton (2003)
Sornette, D., Filimonov, V.: Quantifying reflexivity in financial markets: towards a prediction of flash crashes. Phys. Rev. E 85(5), 056108 (2012)
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Ippoliti, E. (2015). Reasoning at the Frontier of Knowledge: Introductory Essay. In: Ippoliti, E. (eds) Heuristic Reasoning. Studies in Applied Philosophy, Epistemology and Rational Ethics, vol 16. Springer, Cham. https://doi.org/10.1007/978-3-319-09159-4_1
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