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  • Cited by 7
  • Print publication year: 2008
  • Online publication date: June 2012

CHAPTER 19 - Conceptual metaphor, human cognition, and the nature of mathematics

from Part V - Metaphor in reasoning and feeling


Aleksandrov, A., Kolmogorov, A. N., & Lavrent’ev, M. A. (1956/1999). Matematika, ee soderzhanie metody i znachenie [Mathematics, its contents, methods and meaning]. Mineola, NY: Dover.
Bates, E., & Dick, F. (2002). Language, gesture, and the developing brain. Developmental Psychobiology, 40, 293–310.
Cienki, A. (1998). Metaphoric gestures and some of their relations to verbal metaphoric expressions. In J.-P. Koenig (Ed.), Discourse and cognition (pp. 189–204). Stanford, CA: CSLI Publications.
Courant, R., & Robbins, H. (1978). What is mathematics?New York: Oxford.
Fauconnier, G., & Turner, M. (1998). Conceptual integration networks. Cognitive Science, 22(2), 133–187.
Fauconnier, G., & Turner, M. (2002). The way we think: Conceptual blendings and the mind’s hidden complexities. New York: Basic Books.
Gibbs, R. (1994). The poetics of mind: Figurative thought, language, and understanding. New York: Cambridge University Press.
Gibbs, R. (2006). Why cognitive linguists should care more about empirical methods. In M. González, I. Mittelberg, S. Coulson, & M. Spivey (Eds.), Methods in cognitive linguistics (pp. 2–18). Philadelphia: John Benjamins.
Gibbs, R., & Colston, H. (1995). The cognitive psychological reality of image-schemas and their transformations. Cognitive Linguistics, 6, 347–378.
Goldin-Meadow, S. (2003). Hearing gesture: How our hands help us think. Cambridge, MA: Harvard University Press.
Hersh, R. (1997). What is mathematics, really?New York: Oxford University Press.
Iverson, J., & S. Goldin-Meadow. (1998, November). Why people gesture when they speak. Nature, 396, 228.
Iverson, J., & Esther Thelen, E. (1999). Hand, mouth, and brain: The dynamic emergence of speech and gesture. In R. Núñez and W. Freeman (Ed.), Reclaiming cognition: The primacy of action, intention, and emotion (pp. 19–40). Thorverton, UK: Imprint Academic.
Kaput, J. (1979). Mathematics and learning: Roots of epistemological status. In J. Lockhead & J. Clement (Eds.), Cognitive process instruction (pp. 289–303). Philadelphia: Franklin Institute Press.
Kendon, A. (1980). Gesticulation and speech: Two aspects of the process of utterance. In M. R. Key (Ed.), The relation between verbal and nonverbal communication (pp. 207–227). The Hague: Mouton de Gruyter.
Kendon, A. (2000). Language and gesture: unity or duality? In D. McNeill (Ed.), Language and gesture (pp. 47–63). Cambridge: Cambridge University Press.
Kendon, A. (2004) Gesture: Visible action as utterance. Cambridge: Cambridge University Press.
Kita, S., & Essegbey, J. (2001). Pointing left in Ghana: How a taboo on the use of the left hand influences gestural practice. Gesture, 1, 73–95.
Kramer, E. (1970). The nature and growth of modern mathematics. New York: Hawthorn Books.
Lakoff, G. (1993). The contemporary theory of metaphor. In A. Ortony (Ed.), Metaphor and thought (2nd ed., pp. 202–251). New York: Cambridge University Press.
Lakoff, G., & Johnson, M. (1980). Metaphors we live by. Chicago: University of Chicago Press.
Lakoff, G., & Johnson, M. (1999). Philosophy in the flesh. New York: Basic Books.
Lakoff, G., & Núñez, R. (1997). The metaphorical structure of mathematics: Sketching out cognitive foundations for a mind-based mathematics. In L. English (Ed.), Mathematical reasoning: Analogies, metaphors, and images. Mahwah, NJ: Lawrence Erlbaum Associates.
Lakoff, G., & Núñez, R. (1998). Conceptual metaphor in mathematics. In J. P. Koenig (Ed.), Discourse and cognition: Bridging the gap. Stanford, CA: CSLI/Cambridge.
Lakoff, G., & Núñez, R. (2000). Where mathematics comes from: How the embodied mind brings mathematics into being. New York: Basic Books.
Mayberry, R., & Jaques, J. (2000). Gesture production during stuttered speech: insights into the nature of gesture-speech integration. In D. McNeill (Ed.), Language and gesture. Cambridge: Cambridge University Press.
McNeill, D. (1992). Hand and mind: What gestures reveal about thought. Chicago: University of Chicago Press.
McNeill, D. (2005). Gesture and thought. Chicago: University of Chicago Press.
Murphy, G. (1997). Reasons to doubt the present evidence for metaphoric representation. Cognition, 62, 99–108.
Núñez, R. (1999). Could the future taste purple? In R. Núñez & W. Freeman (Eds.), Reclaiming cognition: The primacy of action, intention, and emotion (pp. 41–60). Thorverton, UK: Imprint Academic.
Núñez, R. (2000). Mathematical idea analysis: What embodied cognitive science can say about the human nature of mathematics. Opening plenary address in Proceedings of the 24th International Conference for the Psychology of Mathematics Education, 1, 3–22. Hiroshima, Japan.
Núñez, R. (2003, July). Fictive and metaphorical motion in technically idealized domains. Proceedings of the 8th International Cognitive Linguistics Conference (p. 215). Logroño, Spain.
Núñez, R. (2005). Creating mathematical infinities: The beauty of transfinite cardinals. Journal of Pragmatics, 37, 1717–1741.
Núñez, R. (2008). Mathematics, the ultimate challenge to embodiment: Truth and the grounding of axiomatic systems. In P. Calvo & T. Gomila (Eds.), Elsevier Handbook of Embodied Cognitive Science. New York: Elsevier.
Núñez, R., Edwards, L., & Matos, J. F. (1999). Embodied cognition as grounding for situatedness and context in mathematics education. Educational Studies in Mathematics, 39(1–3), 45–65.
Núñez, R., & Lakoff, G. (1998). What did Weierstrass really define? The cognitive structure of natural and ε–δ continuity. Mathematical Cognition, 4(2), 85–101.
Núñez, R., & Lakoff, G. (2005). The cognitive foundations of mathematics: The role of conceptual metaphor. In J. Campbell (Ed.), Handbook of mathematical cognition (pp. 109–124). New York: Psychology Press.
Núñez, R., & Sweetser, E. (2001, July). Proceedings of the 7th International Cognitive Linguistics Conference (pp. 249–250), Santa Barbara, CA.
Núñez, R., & Sweetser, E. (2006). With the future behind them: Convergent evidence from Aymara language and gesture in the cross-linguistic comparison of spatial construals of time. Cognitive Science. 30, 401–450.
Simmons, G. F. (1985). Calculus with analytic geometry. New York: McGraw Hill.
Stewart, I. (1995). Concepts of modern mathematics. New York: Dover.
Sweetser, E. (1990). From etymology to pragmatics: Metaphorical and cultural aspects of semantic structure. New York: Cambridge University Press.
Sweetser, E. (1998). Regular metaphoricity in gesture: bodily-based models of speech interaction. In Actes du 16e Congrès International des Linguistes. Elsevier.
Talmy, L. (1988). Force dynamics in language and cognition. Cognitive Science, 12, 49–100.
Talmy, L. (1996). Fictive motion in language and “ception.” In P. Bloom, M. Peterson, L. Nadel, & M. Garrett (Eds.), Language and space. Cambridge, MA: MIT Press.
Talmy, L. (2003). Toward a cognitive semantics: Vol. 1. Concept structuring systems. Cambridge, MA: MIT Press.