[Angel, R.B. (1974), “The Geometry of Visibles”, Noûs, 8 (2), 87–117.10.2307/2214780]Search in Google Scholar
[Atiyah, M. (1979), Geometry of Yang-Mills Fields, Lezioni Fermiane, Accademia Nazionale dei Lincei, Scuola Normale Superiore, Pisa.]Search in Google Scholar
[Atiyah, M. (1987), “On the work of Simon Donaldson”, pp. 3–6 in Proceedings of the International Congress of Mathematicians (Berkeley, CA, 3–11 August 1986), vol. 2. Edited by A. Gleason. American Mathematical Society, providence, RI.]Search in Google Scholar
[Atiyah, M. (1988), “Topological quantum field theories”, Publications Mathématiques de l’IHÉS, 68(1), 175–186.10.1007/BF02698547]Search in Google Scholar
[Atiyah, M. (1988), “New invariants of three and four manifolds”, in The Mathematical Heritage of Hermann Weyl, Proc. Symp. Pure Math., 48, Amer. Math. Soc., 285–299.10.1090/pspum/048/974342]Search in Google Scholar
[Atiyah, M. (1990), The geometry and physics of knots, Lezioni Lincee, Cambridge University Press.10.1017/CBO9780511623868]Search in Google Scholar
[Atiyah, M. (1997), “Geometry and physics: Where are we going?”, in Andersen et al. (eds.), Geometry and physics, Proceedings, Lecture Notes in Pure and Applied Mathematics, 184, Dekker, New York, 1–7.10.1201/9781003072393-1]Search in Google Scholar
[Atiyah, M. Atiyah, M. et al. (1990), “Responses to ‘Theoretical mathematics’: toward a cultural synthesis of mathematics and theoretical physics”, edited by A. Jaffe and F. Quinn, Bulletin of the American Mathematical Society, 30 (2).]Search in Google Scholar
[Baez, J. and J.P. Muniain (1994), Gauge Theories, Knot and Gravity, Series on Knots and Everything – Vol. 4, World Scientific, Singapore.10.1142/2324]Search in Google Scholar
[Becker, O. (1930), “Die apriorische Struktur des Anschauungsraum”, Philosophischer Anzeiger, 4, 129–162.]Search in Google Scholar
[Becker, O. (1973), Mathematische Existenz. Untersuchungen zur Logik und Ontologie mathematischer Phänomene, Max Niemeyer Verlag, Tübingen.10.1515/9783111534626]Search in Google Scholar
[Benacerraf, P. and H. Putnam (1987), Philosophy of Mathematics. Selected readings, Cambridge University Press, New York.]Search in Google Scholar
[Bennequin, D. (2001), “Invariants contemporains”, in Panoramas et Synthèses, Société Mathématique de France, Paris, 11, 131–159.]Search in Google Scholar
[Boi, L. (1989), “Objectivation et idéalisation, ou des rapports entre géométrie et physique”, Fundamenta Scientiae, 10 (1), 85–114.]Search in Google Scholar
[Boi, L. (1992), “The ‘Revolution’ in the Geometrical Vision of Space in the Nineteenth Century, and the Hermeneutical Epistemology of Mathematics”, in Revolutions in Mathematics, D. Gillies (ed.), Oxford University Press, Oxford, 183–208.]Search in Google Scholar
[Boi, L. (1993), “Mannigfaltigkeit und Gruppenbegriff. Zu den Veränderungen der Geometrie im 19. Jahrhundert”, Mathematische Semesterberichte, 25, 10–35.]Search in Google Scholar
[Boi, L. (1995a), Le problème mathématique de l’espace. Une quête de l’intelligible, préface de R. Thom, Springer-Verlag, Heidelberg/Berlin.]Search in Google Scholar
[Boi, L. (1995b), Boi, L., “Conception ‘dynamique’ en géométrie, idéalisation et rôle de l’intuition”, Theoria, 10(22), 145–161.]Search in Google Scholar
[Boi, L. (1996), “La conception qualitative des mathématiques et le statut épistémologique du concept de groupe”, in Henri Poincaré: Science et Philosophie, G. Heinzmann et al. (eds.), A. Blanchard/Akademie Verlag, Paris/Berlin, 425–449.]Search in Google Scholar
[Boi, L. (1997), Boi, L., “La Géométrie: clef du reel? Pensée de l’espace et philosophie des mathématique”, Philosophiques, 24 (2), 389–430.10.7202/027460ar]Search in Google Scholar
[Boi, L. (2001), “Sur la nature des objets mathématiques et les relations entre géométrie et physique”, in De la science à la philosophie. Hommage à Jean Largeault, M. Espinoza (ed.), L’Harmattan, Paris, 197–246.]Search in Google Scholar
[Boi, L. (2003), “Philosophy of space-time”, in Cambridge History of Philosophy 1870–1945, T. Baldwin (ed.), Cambridge University Press, Cambridge, 207–218.10.1017/CHOL9780521591041.016]Search in Google Scholar
[Boi, L. (2004a), “Theories of space-time in modern physics”, Synthese, 139 (3), 429–489.10.1023/B:SYNT.0000024888.19304.0f]Search in Google Scholar
[Boi, L. (2004b), “Geometrical and topological foundations of theoretical physics: from gauge theories to string program”, International Journal of Mathematics and Mathematical Sciences, 34, 1777–1836.10.1155/S0161171204304400]Search in Google Scholar
[Boi, L. (2004c), “Questions regarding Husserlian geometry and phenomenology. A study of the concept of manifold and spatial perception”, Husserl Studies, 20 (3), 207–267.10.1007/s10743-004-2061-z]Search in Google Scholar
[Boi, L. (2006a), “Nouvelles dimensions mathématiques et épistémologiques du concept d’espace en physique relativiste et quantique”, in L’espace physique, entre mathématique et philosophie, M. Lachièze-Rey (ed.), EDP Sciences, Paris, 101–133.10.1051/978-2-7598-0130-5-008]Search in Google Scholar
[Boi, L. (2006b), “The Aleph of Space. On some extensions of geometrical and topological concepts in the twentieth-century mathematics: from surfaces and manifolds to knots and links”, in What is Geometry?, G. Sica (ed.), Polimetrica International Scientific Publisher, Milan, 79–152.]Search in Google Scholar
[Boi, L. (2006c), “Mathematical Knot Theory”, in Encyclopedia of Mathematical Physics, J.-P. Françoise, G. Naber, T.S. Tsun (eds.), Elsevier, Oxford, 399–406.10.1016/B0-12-512666-2/00515-0]Search in Google Scholar
[Boi, L. (2009a), “Geometria e dinamica dello spazio-tempo nelle teorie fisiche recenti. Su alcuni problemi concettuali della fisica contemporanea”, Giornale di Fisica, 50 (1), 1–10.]Search in Google Scholar
[Boi, L. (2009b), “Ideas of geometrization, geometric invariants of low-dimensional manifolds, and topological quantum field theories”, International Journal of Geometric Methods in Modern Physics, 6 (5), 701–757.10.1142/S0219887809003783]Search in Google Scholar
[Boi, L. (2009c), “Images et diagramme des objets et de leurs transformations dans l’espace”, Visibles, 5, 45–78.]Search in Google Scholar
[Boi, L. (2011a), The Quantum Vacuum. A Scientific and Philosophical Concept, from Electrodynamics to String Theory, and the Geometry of the Microscopic World, The Johns Hopkins University Press, Baltimore.]Search in Google Scholar
[Boi, L. (2011b), Morphologie de l’invisible. Transformations d’objets, formes de l’espace, singularités phénoménales et pensée diagrammatique, Presses Universitaires de Limoges.]Search in Google Scholar
[Boi, L. (2012a), “Fondamenti geometrici e problemi filosofici dello spaziotempo. Dalla relatività generale alla teoria delle supercorde”, Isonomia - Rivista di Filosofia, 1, 1–37.]Search in Google Scholar
[Boi, L. (2016), “Imagination and Visualization of Geometrical and Topological Forms in Space. On Some Formal, Philosophical and Pictorial Aspects of Mathematics”, in Philosophy of Science in the 21stCentury – Challenges and Tasks, O. Pombo and G. Santos (eds.), Documenta 9, CFCUL Lisbon, 163–221.]Search in Google Scholar
[Bombieri, E. (2000), “Problems of the Millenium: The Riemann Hypothesis”, CLAY.]Search in Google Scholar
[Brouwer, L.E.J. (1912), “Intuitionism and Formalism”, Bulletin of the American Mathematical Society, 20, 81–96.10.1090/S0002-9904-1913-02440-6]Search in Google Scholar
[Brouwer, L.E.J. (1975), Collected Works, Vol. 1: Philosophy and Foundations of Mathematics, North-Holland, Amsterdam.]Search in Google Scholar
[Carter, J.S. (1995), How Surfaces Intersect in Space. An Introduction to Topology, Series on Knots and Everything, Vol. 2., World Scientific, Singapore.10.1142/2571]Search in Google Scholar
[Cassirer, E. (1910), Substanzbegriff und Funktionbegriff, Springer, Berlin.]Search in Google Scholar
[Cavaillès, J. (1962), Philosophie mathématique, Hermann, Paris.]Search in Google Scholar
[Châtelet, G. (1988), “Intuition géométrique et intuition physique”, CISM, Courses and Lectures, No. 305, Springer-Verlag, Berlin Heidelberg, 100–114.]Search in Google Scholar
[Clifford, W.K. (1879), “The Philosophy of Pure Sciences”, in: Lectures and Essays, Vol. I, Macmillan, London, 254–340.]Search in Google Scholar
[Conrey, B. (2003), “The Riemann Hypothesis”, Notices of AMS, March, 341–353.]Search in Google Scholar
[Coxeter, H.S.M. (1998), Non-Euclidean Geometry (sixth ed.), The Mathematical Association of America.10.5948/9781614445166]Search in Google Scholar
[De Jong, W.R. (1997), “Kant’s Theory of Geometrical Reasoning and the Analytic-Synthetic Distinction. On Hintikka’s Interpretation of Kant’s Philosophy of Mathematics”, Studies in History and Philosophy of Science, 28 (1), 141–166.10.1016/S0039-3681(96)00006-4]Search in Google Scholar
[Desanti, J.-T. (1983), Les idéalités mathématiques, Seuil, Paris.]Search in Google Scholar
[Donaldson, S.K. (1983), “An application of gauge theory to the topology of 4-manifolds”, Journal of Differential Geometry, 18, 279–315.10.4310/jdg/1214437665]Search in Google Scholar
[Eilan, N., McCarthy, R. and B. Brewer (Eds.) (1993), Spatial Representation. Problems in Philosophy and Psychology, Oxford University Press, Oxford.]Search in Google Scholar
[Feist, R. (2004), Husserl and the Sciences, University of Ottawa Press.]Search in Google Scholar
[Feist, R. (2002), “Weyl’s Appropriation of Husserl’s and Poincaré’s Thought”, Synthese, 132 (3), 273–301.10.1023/A:1020370823738]Search in Google Scholar
[Freedman M. and Quinn F. (1990), Topology of 4-Manifolds, Princeton University Press, Princeton.10.1515/9781400861064]Search in Google Scholar
[Friedman, M. (2013), Kant’s Construction of Nature: A Reading of the “Metaphysical Foundations of Natural Sciences”, Cambridge University Press.10.1017/CBO9781139014083]Search in Google Scholar
[Friedman, M. (1992), Kant and the Exact Sciences, Harvard University Press.]Search in Google Scholar
[Friedman, M. (1985), “Kant’s theory of geometry”, The Philosophical Review, Vol. XCIV, No. 4, 455–506.10.2307/2185244]Search in Google Scholar
[Heijenoort, J. van, (ed.) (1967), From Frege to Gödel, Harvard University Press, Cambridge, MA.]Search in Google Scholar
[Gibson, J.J. (1979), The Ecological Approach to Visual Perception, Houghton Mifflin, Boston.]Search in Google Scholar
[Gödel, K. (1986), Collected Works, Vol. 1, edited by S. Feferman et al., Oxford University Press, Oxford.]Search in Google Scholar
[Gonseth, F. (1974), Les Mathématiques et la Réalité, A. Blanchard, Paris.10.1111/j.1746-8361.1975.tb00645.x]Search in Google Scholar
[Goodman, N.D. (1979, “Mathematics as an objective science”, American Mathematical Monthly, 86 (7), 540–551.10.1080/00029890.1979.11994851]Search in Google Scholar
[Gromov, M. (2000), “Spaces and Questions”, in: Visions in Mathematics. GAFA 2000, special volume, N. Alon et al. (Eds.), Birkhäuser, Basel, 118–161.10.1007/978-3-0346-0422-2_5]Search in Google Scholar
[Gordon, I.E. (1997), Theories of Visual Perception, John Wiley & Sons, Chichester.]Search in Google Scholar
[Hadamard, J. (1945), The psychology of invention in the mathematical field, Princeton University Press, Princeton.]Search in Google Scholar
[Helmholtz, H. (1997), Epistemological Writings, edited by R.S. Cohen and Y. Elkana, Boston Studies in the Philosophy of Science, Vol. 37, D. Reidel, Dordrecht.]Search in Google Scholar
[Hilbert, D. (1899), Die Grundlagen der Geometrie, Teubner, Leipzig.]Search in Google Scholar
[Hilbert D., Cohn-Vossen S. (1932), Anschauliche Geometrie, Springer, Berlin.10.1007/978-3-662-36685-1]Search in Google Scholar
[Hintikka, J. (1996), La philosophie des mathématiques chez Kant, PUF, Paris.]Search in Google Scholar
[Husserl, E. (1921), Logische Untersuchungen VI, zweiter Band: Elemente einer Phänomenologischen Aufklärung der Erkenntnis, Max Niemeyer, Halle.]Search in Google Scholar
[Husserl, E. (1973), Ding und Raum, Vorlesungen 1907, edited by U. Claesges, Martinus Nijhoff, The Hague.]Search in Google Scholar
[Husserl, E. (1983), Husserliana - Collected Papers, Vol. XXI: Studien zur Arithmetik und Geometrie, Edited by I. Strohmeyer, Martinus Nijhoff Publishers, The Hague.10.1007/978-94-009-6773-1]Search in Google Scholar
[Kant, I., Kritik der reinen Vernunft (1781–1787), new ed.: Meiner, Hambourg, 1990.]Search in Google Scholar
[Kant, I., Kritik der reinen Vernunft (1786), Metaphysische Anfangsgründe der Naturwissenschaft, J.F. Hartknoch, Riga.]Search in Google Scholar
[Kant, I., Kritik der reinen Vernunft (1980), Opus Postumum, translated and presented by F. Marty, PUF, Paris.]Search in Google Scholar
[Kauffman, L. (1988), “New invariants in knot theory”, American Mathematical Monthly, 95, 195–242.10.1080/00029890.1988.11971990]Search in Google Scholar
[Kauffman, L. (1987), On Knots, Princeton University Press, Princeton.]Search in Google Scholar
[Kitcher, P. (1984), The nature of mathematical knowledge, Oxford University Press, New York.10.1093/0195035410.001.0001]Search in Google Scholar
[Kitcher, P. (1988), “Mathematical Progress”, Revue Internationale de Philosophie, special issue on “Philosophy of Mathematics”, P. Kitcher (ed.), 42 (167), 518–540.]Search in Google Scholar
[Klein, F. (1979), Vorlesungen über die Entwicklung der Mathematik im 19. Jahrhundert (first ed., 1927), Springer-Verlag, Berlin Heidelberg.10.1007/978-3-642-67230-9]Search in Google Scholar
[Kreisel, G. (1965), “Mathematical Logic”, in Lectures in Modern Mathematics, Wiley, New York, 95–195.]Search in Google Scholar
[Kronheimer P. and Mrowka T. (1994), “Recurrence relations and asymptotic for four-manifolds”, Bull. Amer. Math. Soc., 30, 215–221.10.1090/S0273-0979-1994-00492-6]Search in Google Scholar
[Lakatos, I. (1978), Mathematics, science and epistemology, Philosophical Papers, Vol. 2, Cambridge University Press, Cambridge.]Search in Google Scholar
[Largeault, J. (1990), “Formalisme et intuitionnisme en philosophie des mathématiques”, Revue philosophique, 3 (1990), 521–546.]Search in Google Scholar
[Largeault, J. (1993), Intuition et intuitionnisme, Vrin, Paris.]Search in Google Scholar
[Lautman, A. (1937), Essai sur les notions de structure et d’existence en mathématiques, Hermann, Paris.]Search in Google Scholar
[Lawson, H.B.Jr. (1985), The Theory of Gauge Fields in Four Dimensions, Conference Board of the Mathematical Sciences, Regional Conference Series in Mathematics, No. 58, American Mathematical Society, Providence.10.1090/cbms/058]Search in Google Scholar
[Mac Lane, S. (1980), “The genesis of mathematical structures, as exemplified in the work of Charles Ehresmann”, Cahiers de topologie et géométrie différentielle, 21 (4), 353–365.]Search in Google Scholar
[Mac Lane, S. (1986), Mathematics, Form and Function, Springer-Verlag, New York. Maddy, P. (1980), “Perception and Mathematical Intuition”, The Philosophical Review, 89 (2), 163–196.10.2307/2184647]Search in Google Scholar
[Mac Lane, S. (1997), Naturalism in Mathematics, Clarendon Press, Oxford, 1997.]Search in Google Scholar
[Manin, Yu I. (1981), Mathematics and Physics, Birkhäuser, Basel.10.1007/978-1-4899-6782-4]Search in Google Scholar
[Milnor, J.W. (1965), Lectures on the h-cobordism theorem, Princeton University Press, Princeton.10.1515/9781400878055]Search in Google Scholar
[Montonen, C., and D. Olive (1997), “Magnetic monopoles as gauge particles?”, Phys. Lett., 72B, 117–120.10.1016/0370-2693(77)90076-4]Search in Google Scholar
[Mumford, D., Series, C. and D. Wright (2002), Indra’s Pearls. The Vision of Felix Klein, Cambridge University Press.10.1017/CBO9781107050051]Search in Google Scholar
[Murasugi, K. (1996), Knot theory and its applications, Birkhäuser, Boston.]Search in Google Scholar
[Neumann, J. von (1961), “The Mathematician. ‘The work of the mind’”, in Collected Works, Vol. I, Pergamon Press, London, 1–9.]Search in Google Scholar
[Peirce, Ch. (1976), The New Elements of Mathematics, Vol. IV: Mathematical Philosophy, edited by C. Eiselle, Mouton & Co. Publishers, The Hague.]Search in Google Scholar
[Penrose, R. (1989), The Emperor’s New Mind, Oxford University Press, Oxford.]Search in Google Scholar
[Poincaré, H. (1898), “On the foundations of geometry”, The Monist, 9, 1–43.10.5840/monist1898915]Search in Google Scholar
[Poincaré, H. (1902), La Science et l’Hypothèse, Flammarion, Paris.]Search in Google Scholar
[Pontryagin, L.S. (1946), Topological groups, Princeton University Press, Princeton.]Search in Google Scholar
[Prauss, G. (1994), “Kant and the Straight Triangle”, in Philosophy, Mathematics and Modern Physics, E. Rudolph and I.-O. Stamatescu (Eds.), Springer, Heidelberg. 226–234.10.1007/978-3-642-78808-6_16]Search in Google Scholar
[Resnik, M.D. (1975), “Mathematical Knowledge and Pattern Recognition”, Canadian Journal of Philosophy, 5, 25–39.10.1080/00455091.1975.10716095]Search in Google Scholar
[Resnik, M.D. (1981), “Mathematics as a Science of Patterns: Ontology and Reference”, Noûs, 15, 529–550.10.2307/2214851]Search in Google Scholar
[Riemann, B. (1990), “On the Hypothesis which lie at the Basis of Geometry”, in Gesammelte mathematische Werke/Collected Papers, new edition edited by R. Narasimhan, Springer, Berlin.]Search in Google Scholar
[Roseman, D. (1997a), “On Wiener’s thought on the computer as an aid in visualizing higher-dimensional forms and its modern ramifications”, in V. Mandrekar and P.R. Mesani (eds.), Proceedings of Nobert Wiener Centenary Congress, PSAM, Vol. 52, American Mathematical Society, 441–471.10.1090/psapm/052/1440925]Search in Google Scholar
[Roseman, D. (1997b), “What Should a Surface in 4-Space Look Like?”, in Visualization and Mathematics: Experiments, Simulations, Environments, H.C. Hege & K. Polthier (eds.), Springer, Berlin, 67–82.10.1007/978-3-642-59195-2_5]Search in Google Scholar
[Rota, G.-C., D.H. Sharp, and R. Sokolowski (1998), “Syntax, Semantics, and the Problem of the Identity of Mathematical Objects”, Philosophy of Science, 55, 376–386.10.1086/289442]Search in Google Scholar
[Rovelli, C. (1995), “Outline of a generally covariant quantum field theory and quantum theory of gravity”, Journal of Mathematical Physics, 36 (1), 6529–6547.10.1063/1.531255]Search in Google Scholar
[Smale, S. (1958), “A classification of immersions of the two-sphere”, Trans. Amer. Math. Soc., 90, 281–290.10.1090/S0002-9947-1959-0104227-9]Search in Google Scholar
[Thom, R. (1990), Apologie du logos, Hachette, Paris.]Search in Google Scholar
[Thom, R. (1992), “L’Antériorité Ontologique du Continu”, in J.-M. Salanskis & H. Sinaceur (Eds.), Le Labyrinthe du Continu, Springer-Verlag, Heidelberg-Paris, 137–143.]Search in Google Scholar
[Thurston, W.P. (1994), “On proof and progress in mathematics”, Bulletin of the American Mathematical Society, 30 (2), 161–177.10.1090/S0273-0979-1994-00502-6]Search in Google Scholar
[Tymoczko, Th. (ed.) (1998), New Directions in the Philosophy of Mathematics, Princeton University Press, Princeton.]Search in Google Scholar
[Suppes, P. (1977), “Is Visual Space Euclidean?”, Synthese, 35, 397–421.10.1007/BF00485624]Search in Google Scholar
[Tieszen, R.L. (1989), Mathematical Intuition: Phenomenology and Mathematical Knowledge, Kluwer, Dordrecht.10.1007/978-94-009-2293-8]Search in Google Scholar
[Torretti, R. (1972), “On the subjectivity of objective space”, in Proceedings of the Third International Kant Congress, L.W. Beck (ed.), D. Reidel, Dordrecht, 568–573.10.1007/978-94-010-3099-1_58]Search in Google Scholar
[Vuillemin, J. (1994), L’Intuitionnisme Kantien, Vrin, Paris.]Search in Google Scholar
[Webb, J. (1987), “Immanuel Kant and the greater glory of geometry”, in Naturalistic Epistemology, A. Shimony and D. Nailis (Eds.), Boston Studies in the Philosophy of Science, Vol. 100, D. Reidel, Dordrecht, 17–70.10.1007/978-94-009-3735-2_2]Search in Google Scholar
[Weyl, H. (1949), Philosophy of Mathematics and Natural Science, Princeton University Press, Princeton.]Search in Google Scholar
[Weyl, H. (1973), Das Kontinuum (first German edition: 1918), Chelsea, New York.10.1515/9783112451144]Search in Google Scholar
[Wiener, N. (1922), “The relation of space and geometry to experience”, The Monist, 32, 12–60; 200–247; 364–394.10.5840/monist192232329]Search in Google Scholar
[Wilder, R. (1967), “The Role of Intuition”, Science, 156, 605–610.10.1126/science.156.3775.605]Search in Google Scholar
[Willaschek, M. (1997), “Der transzendentale Idealismus und die Idealität von Raum und Zeit”, Zeitschrift für philosophische Forschung, 51, 537–563.]Search in Google Scholar
[Witten, E. (1988), “Topological Quantum Field Theory”, Communications in Mathematical Physics, 117, 353–386.10.1007/BF01223371]Search in Google Scholar
[Wojtowicz, R. (1997), “The Metaphysical Exposition of Space and Time”, Synthese, 113, 71–115.10.1023/A:1005008016234]Search in Google Scholar
[Yang, C.N., Mills, R. (1954), “Conservation of Isotopic Spin and Isotopic Gauge Invariance”, Physical Review, 96 (1), 191–195.10.1103/PhysRev.96.191]Search in Google Scholar
[Yu, T.T., Yang, C.N. (1975), “Concept of non-integrable phase factors and global formulation of gauge fields”, Physical Review, D12, 3845–3857.10.1103/PhysRevD.12.3845]Search in Google Scholar
[Zeidler, E. (2011), Quantum Field Theory III: Gauge Theory. A Bridge between Mathematicians and Physicists, Springer-Verlag; Berlin Heidelberg.10.1007/978-3-642-22421-8]Search in Google Scholar