What perception is doing, and what it is not doing, in mathematical reasoning

British Journal for the Philosophy of Science

Volumn 53, Issue 2, 2002, Pages 205-223

  Lomas, Dennis ^a  

^a NONE   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040673519     PISSN: 00070882     EISSN: None     Source Type: Journal    
DOI: 10.1093/bjps/53.2.205     Document Type: Article

References (25)

1. Barwise, J. and Etchemendy, J. [1991]: 'Visual Information and Valid Reasoning', in W. Zimmerman and S. Cunningham (eds), 1991, Visualization in Teaching and Learning Mathematics, Washington, DC: Mathematical Association of America, pp. 8-24.
2. Barwise, J. and Etchemendy, J. [1996]: 'Heterogeneous Logic', in G. Allwein and J. Barwise (eds), 1996, Logical Reasoning with Diagrams, New York: Oxford University Press, pp. 179-201.
3. Brown, J. R. [1999]: Philosophy of Mathematics: An Introduction to a World of Proofs and Pictures, London: Routledge.
4. Crane, T. [1992]: 'The Nonconceptual Content of Experience', in T. Crane (ed.), 1992, The Contents of Experience: Essays on Perception, Cambridge: Cambridge University Press, pp. 136-57.
5. Giaquinto, M. [1993]: 'Diagrams: Socrates and Meno's Slave', International Journal of Philosophical Studies, 1 (1), pp. 81-97.
6. Giaquinto, M. [1998]: 'Epistemology of the Obvious', Philosophical Studies, 92, pp. 181-204.
7. Gödel, K. [1964]: 'What is Cantor's Continuum Problem?', in P. Benacerraf and H. Putnam (eds), 1983, Philosophy of Mathematics, 2nd edn, Cambridge, UK: Cambridge University Press, pp. 470-85.
8. Hart, W. D. (ed.) [1996]: The Philosophy of Mathematics, New York: Oxford University Press.
9. Kaufman, E. L., Lord, M. W., Reese, T. W. and Volkman, J. [1949]: 'The Discrimination of Visual Number', American Journal of Psychology, 39 (2), pp. 498-525.
10. Kosslyn, S. M. [1980]: Image and Mind, Cambridge, MA: Harvard University Press.
11. Lomas, D. [2000]: The Eye's Mind: a Philosophical Discourse on the Non-inferential and Conceptual Nature of Visual Perception and its Implications for Educational Theory. PhD Thesis. University of Toronto.
12. Lonergan, B. [1957/1992]: Insight: A Study of Human Understanding, Toronto: University of Toronto Press.
13. Maddy, P. [1980]: 'Perception and Mathematical Intuition', in W. D. Hart (ed.), 1996, The Philosophy of Mathematics, New York: Oxford University Press, pp. 114-41.
14. Maddy, P. [1990]: Realism in Mathematics, New York: Oxford University Press.
15. Maddy, P. [1997]: Naturalism in Mathematics, Oxford: Clarendon Press.
16. Page, J. [1993]: 'Parsons on Mathematical Intuition', Mind, 102 (406), pp. 223-32.
17. Parsons, C. [1980]: 'Mathematical Intuition', in W. D. Hart (ed.), 1996, The Philosophy of Mathematics, New York: Oxford University Press, pp. 95-113.
18. Parsons, C. [1993]: 'On Some Difficulties Concerning Intuition and Intuitive Knowledge', Mind, 102 (406), pp. 234-46.
19. Parsons, C. [1995]: 'Platonism and Mathematical Intuition in Kurt Gödel's Thought', Bulletin of Symbolic Logic, 1 (1), pp. 44-74.
20. Peacocke, C. [1992]: A Study of Concepts, Cambridge, MA: The MIT Press.
21. Pitcher, G. [1971]: A Theory of Perception, Princeton: Princeton University Press.
22. Rock, I. [1983]: The Logic of Perception, Cambridge, MA: The MIT Press.
23. Stenning, K. [1977]: 'On Remembering How to Get There: How We Might Want Something Like a Map', in A. M. Lesgold, J. W. Pellegrino, S. W. Fokkema and R. Glaser (eds), 1977, Cognitive Psychology and Instruction, New York: Plenum Press.
24. Tennant, N. [1986]: 'The Withering Away of Formal Semantics', Mind and Language, 1, pp. 302-18.
25. Wittgenstein, L. [1958]: Philosophical Investigations, 2nd edn Oxford: Basil Blackwell.