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References
Barwise, J. and Moss, L. (1991): Hypersets. The Mathematical Intelligencer 13(4), 31–41.
Connes, A., Lichnerowicz, A. and Schützenberger, M.P. (2000): Triangle de Pensées. Odile Jacob, Paris. English translation as Triangle of Thought, AMS Publications, Providence, RI, 2001.
Dauben, J.W. (1979): Georg Cantor: His Mathematics and Philosophy of the Infinite. Princeton University Press, Princeton.
Dedekind, R. (1888): Was sind und was sollen die Zahlen? Vieweg, Braunschweig.
Fauconnier, G. and Turner, M. (1998): Conceptual integration networks. Cognitive Science 2, 133–187.
Fauconnier, G. and Turner, M. (2002): The Way We Think: Conceptual Blending and the Mind’s Hidden Complexities. Basic Books, New York.
Gieser, S. (2005): The Innermost Kernel. Depth Psychology and Quantum Physics. Wolfgang Pauli’s Dialogue with C.G.Jung. Springer, Berlin.
Hintikka, J. (2000): On Gödel. Wadsworth, Belmont, CA.
Johnson, M. (1987): The Body in the Mind. The Bodily Basis of Meaning, Imagination, and Reason. University of Chicago Press, Chicago.
Jung, C.G. (1958): The Collected Works of C.G.Jung. Volume 11. Psychology and Religion: West and East. Princeton University Press, Princeton.
Jung, C.G. (1969): The Collected Works of C.G.Jung. Volume 8. The Structure and the Dynamics of the Psyche. Second edition, Princeton University Press, Princeton.
Jung, C.G. (1971): The Collected Works of C.G.Jung. Volume 6. Psychological Types. Princeton University Press, Princeton.
Kitcher, P. (1976): Hilbert’s epistemology. Philosophy of Science 43, 99–115.
Lakoff, G. (1993): The contemporary theory of metaphor. In: Ortony, A. (ed.), Metaphor and Thought. Second edition, Cambridge University Press, New York, pp. 202–251.
Lakoff, G. and Johnson, M. (1980): Metaphors We Live By. University of Chicago Press, Chicago.
Lakoff, G. and Johnson, M. (1999): Philosophy in the Flesh. Basic Books, New York.
Lakoff, G. and Núñez, R. (1997): The metaphorical structure of mathematics: Sketching out cognitive foundations for a mind-based mathematics. In: English, L.D. (ed.), Mathematical Reasoning: Analogies, Metaphors, and Images. Erlbaum, Mahwah, NJ, pp. 21–89.
Lakoff, G. and Núñez, R. (2000): Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being. Basic Books, New York.
McNeill, D. (1992): Hand and Mind: What Gestures Reveal About Thought.Chicago University Press, Chicago.
Meier, C.A. (ed.) (2001): Atom and Archetype. The Pauli/Jung Letters, 1932–1958. Princeton University Press, Princeton.
Meyenn, K.von (ed.) (1993): Wolfgang Pauli. Wissenschaftlicher Briefwechsel, Band III: 1940–1949. Springer, Berlin.
Núñez, R. (2005): Creating mathematical infinities: The beauty of transfinite cardinals. Journal of Pragmatics 37, 1717–1741.
Núñez, R. (2006): Do real numbers really move? Language, thought, and gesture: The embodied cognitive foundations of mathematics. In: Hersh, R. (ed.), 18 Unconventional Essays on the Nature of Mathematics. Springer, New York, pp.160–181.
Núñez, R. and Lakoff, G. (1998): What did Weierstrass really define? The cognitive structure of natural and ε-δ continuity. Mathematical Cognition 4, 85–101.
Núñez, R. and Lakoff, G. (2005): The cognitive foundations of mathematics: The role of conceptual metaphor. In: Campbell, J.I.D. (ed.), Handbook of Mathematical Cognition. Psychology Press, New York, pp.109–124.
Núñez, R., Motz, B. and Teuscher, U. (2006): Time after time: The psychological reality of the ego- and time-reference-point distinction in metaphorical construals of time. Metaphor and Symbol 21, 133–146.
Núñez, R. and Sweetser, E. (2006): With the future behind them: Convergent evidence from Aymara language and gesture in the crosslinguistic comparison of spatial construals of time. Cognitive Science 30, 401–450.
Pauli, W. (1952): Der Einfluss archetypischer Vorstellungen auf die Bildung naturwissenschaftlicher Theorien bei Kepler. In: Jung, C.G., and Pauli, W. (eds.), Naturerklärung und Psyche. Rascher, Zürich, pp.109–194.
Pauli, W. (1994): Writings on Physics and Philosophy. Edited by C.P. Enz and K.von Meyenn. Springer, Berlin.
Poincaré, H. (1913): Dernières pensées. Flammarion, Paris. English translation as Mathematics and Science: Last Essays, Dover, New York, 1963.
Regier, T. (1996): The Human Semantic Potential. MIT Press, Cambridge, MA.
Schacter, D. (1996): Searching for Memory: The Brain, the Mind, and the Past. Basic Books, New York.
Sweetser, E. (1990): From Etymology to Pragmatics: Metaphorical and Cultural Aspects of Semantic Structure. Cambridge University Press, New York.
Talmy, L. (1988): Force dynamics in language and cognition. Cognitive Science 12, 49–100.
Talmy, L. (2003): Toward a Cognitive Semantics. Volume 1: Concept Structuring Systems. MIT Press, Cambridge, MA.
Weyl, H. (1918): Das Kontinuum. Kritische Untersuchungen über die Grundlagen der Analysis. Veit, Leipzig. English translation as The Continuum. A Critical Examination of the Foundation of Analysis, Dover, New York, 1994.
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Núñez, R. (2009). What Is Mathematics? Pauli, Jung,and Contemporary Cognitive Science. In: Atmanspacher, H., Primas, H. (eds) Recasting Reality. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85198-1_13
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