Twórcza rola patologii w matematyce
Abstract
Keywords
References
Błaszczyk, P.: 2007, Analiza filozoficzna rozprawy Richarda Dedekinda Stetigkeit und irrationale Zahlen, Wydawnictwo Naukowe AP w Krakowie, Kraków.
Corry, L.: 2004, Modern Algebra and the Rise of Mathematical Structures, Birkhäuser, Basel-Boston-Berlin.
Dehn, M.: 1902, Űber den Rauminhalt, Mathematische Annalen 55, 465-478.
Feferman, S., Friedman, H. M., Maddy, P., Steel, J. R.: 2000, Does mathematics need new axioms?, The Bulletin of Symbolic Logic 6, 401-446.
Friedman, H. M.: 1992, The Incompleteness Phenomena, w: F. E. Bowder (ed.), Mathematics into the Twenty-first Century. 1988 Centennial Symposium, August 8-12, American Mathematical Society, Providence, Rhode Island, 49-84.
Gelbaum, B. R., Olmsted, J. M. H.: 1990, Theorems and Counterexamples in Mathematics, Springer-Verlag, New York.
Gelbaum, B. R., Olmsted, J. M. H.: 2003, Counterexamples in Analysis, Dover Publications, Inc., Mineola, New York.
Hahn, H.: 1956, The crisis of intuition, w: J. R. Newman (ed.), The World of Mathematics, vol. 3, Dover Publications, Inc., Mineola, New York, 1957-1976.
Havil, J.: 2007, Nonplussed! Mathematical Proof of Implausible Ideas, Princeton University Press, Princeton and Oxford.
Havil, J.: 2008, Impossible? Surprising Solutions to Counterintuitive Conundrums, Princeton University Press, Princeton and Oxford.
Kanamori, A.: 1994, The Higher Infinite. Large Cardinals in Set Theory from Their Beginnings, Oxford University Press, New York, Oxford.
Kline, M.: 1994, Mathematical Thought from Ancient to Modern Times, Springer-Verlag, Berlin.
Laczkovich, M.: 1990, Equidecomposability and discrepancy: a solution to Tarski’s circle squaring problem, Journal für die Reine und Angewandte Mathematik 404, 77-117.
Lakatos, I.: 1976, Proofs and Refutations. The Logic of Mathematical Discovery, Cmbridge University Press, Cambridge.
Lakoff, G., Johnson, M.: 1980, Metaphors we live by, University of Chicago Press, Chicago.
Lakoff, G., Núñez, R.: 2000, Where Mathematics Comes From. How the Embodied Mind Brings Mathematics into Being, Basic Books, New York.
Levitin, A., Levitin, M.: 2011, Algorithmic Puzzles, Oxford University Press, New York.
Norwid, C. K.: 1964, Fatum, Poeci polscy. Cyprian Norwid, Czytelnik, 89.
Petković, M. S.: 2009, Famous Puzzles of Great Mathematicians, The American Mathematical Society, Providence, Rhode Island.
Pogonowski, J.: 2011, Geneza matematyki wedle kognitywistów, Investigationes Linguisticae 23, 106-147. http://inveling.amu.edu.pl/, http://www.logic.amu.edu.pl/images/3/3c/Littlejill01.pdf.
Pogonowski, J..: 2012, Matematyczne metafory kognitywistów. http://www.logic.amu.edu.pl/images/0/0e/Mmk2012.pdf.
Posamentier, A. S., Lehmann, I.: 2013, Magnificent Mistakes in Mathematics, Prometheus Books, Amherst, New York.
Scorpan, A.: 2005, The Wild World of 4-Manifolds, American Mathematical Society, Providence, Rhode Island.
Steen, L. A., Seebach, J. A., Jr.: 1995, Counterexamples in Topology, Dover Publications, Inc., New York.
Tarski, A.: 1925, Probléme 38, Fundamentha Mathematicae 7, 381.
Thurston, W.: 1997, Three-Dimensional Geometry and Topology. Volume 1 (edited by Silvio Levy), Princeton University Press, Princeton, New Jersey.
Winkler, P.: 2004, Mathematical Puzzles. A Connoisseur’s Collection, A K Peters, Natick, Massachusetts.
Winkler, P.: 2007, Mathematical Mind-Benders, A K Peters, Ltd., Wellesley, MA.
Wise, G. L., Hall, E. B.: 1993, Counterexamples in Probability and Real Analysis, Oxford University Press, Oxford University Press.
Wojtylak, P.: 1979, An example of a finite though finitely non-axiomatizable matrix, Fundamentha Mathematicae 17, 39-46.
e-ISSN: 2450-341X, ISSN: 2080-9751
AUPC SDMP is on the List of the Ministry’s scored journals (part B) with 5 points for 2016