Skip to main content

Part of the book series: Synthese Library ((SYLI,volume 327))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Barwise, J. and Etchemendy, J. (1991). Visual Information and Valid Reasoning, in W. Zimmerman and S. Cunningham (eds), Visualization in Teaching and Learning Mathematics, Mathematical Association of America.

    Google Scholar 

  • Biederman, I. and Shiffrar, M. (1987). Sexing Day-Old Chicks: A Case Study and Expert Systems analysis of a Difficult Percptual-Learning Task, Journal of Experimental Psychology: Learning, Memory, and Cognition 13(4): 640–45.

    Google Scholar 

  • Brown, J. R. (1999). Philosophy of Mathematics: An Introduction to the World of Proofs and Pictures, Routledge, London and New York.

    Google Scholar 

  • Dancy, J. (ed.) (1992). Companion to Epistemology, Blackwell, Oxford.

    Google Scholar 

  • Freiling, C. (1986). Axioms of symmetry: Throwing darts at the real number line, J. Symbolic Logic.

    Google Scholar 

  • Gödel, K. (1944/83). Russell’s Mathematical Logic, in P. Benacerraf and H. Putnam (eds), Philosophy of Mathematics, 2 edn, Cambridge University Press, Cambridge, pp. 447–469.

    Google Scholar 

  • Gödel, K. (1947/83). What is Cantor’s continuum problem?, in P. Benacerraf and H. Putnam (eds), Philosophy of Mathematics, 2 edn, Cambridge University Press, Cambridge, pp. 470–485.

    Google Scholar 

  • Hammer, E. (1995). Logic and Visual Information, CSLI, Stanford.

    Google Scholar 

  • Maddy, P. (1990). Realism in Mathematics, Oxford University Press, Oxford.

    Google Scholar 

  • Maddy, P. (1997). Naturalism in Mathematics, Oxford University Press, Oxford.

    Google Scholar 

  • Maddy, P. (1998). How to be a Naturalist About Mathematics, in H. Dales and G. Oliveri (eds), Truth in Mathematics, Oxford University Press, Oxford.

    Google Scholar 

  • Mumford, D. (2000). Dawning of the Age of Stochasticity, in V. Arnold (ed.), Mathematics: Frontiers and Perspectives, American Mathematical Society.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer

About this chapter

Cite this chapter

Brown, J.R. (2005). Naturalism, Pictures, and Platonic Intuitions. In: Mancosu, P., Jørgensen, K.F., Pedersen, S.A. (eds) Visualization, Explanation and Reasoning Styles in Mathematics. Synthese Library, vol 327. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3335-4_4

Download citation

Publish with us

Policies and ethics