| Bibliografia:
| Bibliografia básica:<br />CAREY, S. (2009), “Where Our Number Concepts Come From”. J Philos 106(4): 220–254.<br />FERREIRÓS, J. (2016), Mathematical knowledge and the interplay of pratices. Princeton University Press.<br />GIARDINO, V. (2016.) “¿Dónde situar los fundamentos cognitivos de las matemáticas?”, in J. Ferreirós & A. Lassalle Casanave (Eds.), El árbol de los números: cognición, lógica y práctica matemática. Sevilla: Editorial Universidad de Sevilla.<br />GIARDINO, V. & GREEMBERG, G. (2015). “Introduction: Varieties of Iconicity”. Review of Philosophy and Psychology 6 (1):1-25<br />LAKATOS, I. (1978), A lógica do descobrimento matemático: provas e refutações. Rio de Janeiro: Zahar.<br />LAKOFF, G. & NÚÑEZ, R. E. (2000). Where Mathematics Comes From: How the. Embodied Mind Brings Mathematics into Being. New York: Basic Books<br />LASSALLE CASANAVE, A. (2013). “Diagramas en pruebas geométricas por reductio ad absurdum.” In Esquisabel, O. M. & Sautter, F. T. (Ed.) Conocimiento simbólico y conocimiento gráfico (pp. 21-28). Buenos Aires: Centro de Estudios Filosóficos Eugenio Pucciare.<br />MANCOSU, P. (ed.) (2008), The philosophy of mathematical practice. New York: Oxford University Press.<br />MANDERS, K. (2008). “Diagram-based geometric practice”. In Mancosu, P. (Ed.) The philosophy of mathematical practice (pp. 65-79). New York: Oxford University Press.<br />NÚÑEZ, R. (2018) “Praxis matemática: reflexiones sobre la cognición que la hace posible”. Theoria 33(02): 271-283.<br />PUERTAS CASTAÑOS, M. L. (2000), Los Elementos de Euclides. Libros I–IV, Gredos, Madrid.<br />SILVA, Jairo José d (2007). Filosofias da matemática. São Paulo: Editora UNESP.<br />SHAPIRO, S. (2015). Filosofia da matemática. Edições 70.<br />VAN der HAM, I. J. M., HAMAMI Y. & MUMMA, J. (2017), “Universal intuitions of spatial relations in elementary geometry”. Journal of Cognitive Psychology 29/3: 269-278.<br />Bibliografia Complementar:<br />ASPRAY, W. & KITCHER, P. (1988), History and philosophy of modern mathematics. Minneapolis: University of Minnesota Press.<br />CARTER, J. (2019), “Philosophy of mathematical practice – motivations, themes and prospects”. Philosophia Mathematica (III) 27: 1-32.<br />DEHAENE, S., IZAR, V., PICA. P. & SPELKE, E. (2006). “Core knowledge of geometry in an Amazonian indigene group”. Science 311/5759: 381–384.<br />de PAZ, M. & FERREIRÓS, J. (2018) “From Basic Cognition to Mathematical Practice‖, Special Issue, (eds), Theoria. An International Journal for Theory, History and Foundations of Science, 33 (2): 267-269.<br />FERREIRÓS, J. & GARCÍA-PEREZ, M. J. (2018) “‘Natural’ y ‘Euclidiana’? Reflexiones sobre la geometría práctica y sus raíces cognitivas”, Theoria 33/2: 325-344.<br />FERREIRÓS, J. & GRAY, J. (eds) (2006), The architecture of modern Mathematics: essays in history and philosophy. Oxford University Press.<br />FREGE, G., (1884) The Foundations of Arithmetic. A Logico-mathematical Enquiry into the Concept of Number. Evanston: Northwestern University Press.<br />GIAQUINTO, M. (2008), “Visualizing in mathematics”. in P. Mancosu (ed.), The philosophy of mathematical practice. New York: Oxford University Press, pp. 22-42.<br />HEYTHING, A. (1956), “Disputation”, in Benacerraf e Putnam (eds) The philosophy of Mathematics: selected readings, Cambridge: Cambridge University Press, pp. 66-76.<br />HILBERT, D. (1925), “On the Infinite”, in Benacerraf & Putnam (eds) The philosophy of Mathematics: selected readings. Cambridge: Cambridge University Press, pp. 183–201.<br />KITCHER, P. (1984), The nature of mathematical knowledge. Oxford: Oxford University Press.<br />LASSALLE CASANAVE, A.; PANZA, M. (2018) “Enthymemathical Proofs and Canonical Proofs in Euclid s Plane Geometry”. In: Hassan Tahiri. (Org.). Logic, Epistemology, and the Unity of Science. Switzerland: Springer International Publishing, v. 43, p. 127-144.<br />MACBETH, D. (2010). “Diagrammatic reasoning in Euclid's Elements”. In Van Kerkhove, B., De Vuyst, J., & Van Bendegem, J. P. (Ed.) Philosophical perspectives on mathematical practice (pp. 235-267). London: College Publications.<br />NÚÑEZ, R. (2011). “No Innate Number Line in the Human Brain”. Journal of Cross-Cultural Psychology 42/4: 651-668.<br />SHIMOJIMA, A. “The Graphic-Linguistic Distinction Exploring Alternatives”. Artificial Intelligence Review 13, 313–335 (1999).<br />SPELKE, E. & AH LEE, S. (2012), “Core systems of geometry in animal minds”. Philosophical Transactions of the Royal Society B: Biological Sciences 367 (1603): 2784-2793. |
