Skip to main content

Kant on Incongruent Counterparts

  • Chapter
The Philosophy of Right and Left

Part of the book series: The University of Western Ontario Series in Philosophy of Science ((WONS,volume 46))

Abstract

Consider your right hand and a mirror image duplicate of it. Kant calls such pairs incongruent counterparts. According to him they have the following puzzling features. The relation and situation of the parts of your hand with respect to one another are not sufficient to distinguish it from its mirror duplicate. Nevertheless, there is a spatial difference between the two. Turn and twist them how you will, you cannot make one of them occupy the exact boundaries now occupied by the other. In his 1768 paper, ‘Concerning the Ultimate Foundations of the Differentiation of Regions in Space’, Kant uses these claims to argue against relational accounts of space and goes on to argue that the difference between incongruent counterparts depends on a relation to absolute space as a whole. In his 1770 Inaugural Dissertation he argued that this difference could not be captured by concepts alone but required appeal to intuition. In the Prolegomena (1783) and again in the Metaphysical Foundations of Natural Science (1786) Kant appealed to these puzzling features of incongruent counterparts to support his transcendental idealism about space.

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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

  • Bennett, J. (1966) Kant’s Analytic, Cambridge University Press, Cambridge.

    Book  Google Scholar 

  • Bennett, J. (1970) ‘The difference between right and left,’ American Philosophical Quarterly Vol. 7, No. 3, 175–191. This volume, pp. 97–130.

    Google Scholar 

  • Buroker, J. V. (1981) Space and Incongruence, the Origin of Kant’s Idealism, Reidel Publishing Co., Dordrecht.

    Google Scholar 

  • Dewdney, A.K. (1984) The Planiverse (computer contact with a two-dimensional world), Poseidon Press, New York.

    Google Scholar 

  • Earman, J. (1971) ‘Kant, incongruous counterparts and the nature of space and spacetime,’ Ratio 13, 1–18. This volume, pp. 131–149.

    Google Scholar 

  • Earman, J. (1987) ‘On the other hand …: a reconsideration of Kant, incongruent counterparts, and absolute space.’ This volume, pp. 235–255.

    Google Scholar 

  • Friedman, M. (1983) Foundations of Space-Time Theories, Princeton University Press, Princeton, N.J.

    Google Scholar 

  • Friedman, M. (1986) ‘Kant on the Foundations of Newtonian Science,’ in Butts, ed. (1986).

    Google Scholar 

  • Gardner, M. (1964, 2nd edition 1969, reprinted 1979) The Ambidextrous Universe, Charles Scribner and Sons, New York.

    Google Scholar 

  • Grünbaum, A. (1973) Philosophical Problems of Space and Time (2nd enlarged edition), D. Reidel, Dordrecht.

    Book  Google Scholar 

  • Harper, W. L. (1984) ‘Kant on space, empirical realism and the foundations of geometry,’ Topoi 3, 143–161.

    Article  Google Scholar 

  • Harper, W. L. (1986) ‘Kant on the a priori and material necessity,’ in Butts, R. E. (1986) ed., Kant’s Philosophy of Physical Science, Reidel Publ. Co., Dordrecht, pp. 239–272.

    Chapter  Google Scholar 

  • Kant, I. (1768) ‘Concerning the ultimate foundations of the differentiation of regions in space,’ in Kerferd, G. B. and Walford, D. E. (1968) eds. and trans., Kant, Selected Pre-Critical Writings and Correspondence with Beck, Manchester University Press, Manchester, pp. 36–43. Editor’s note: The Handyside translation is reprinted in this volume, pp. 27-33.

    Google Scholar 

  • Kant, I. (1770) (Inaugural Dissertation) On the Form and Principles of the Sensible and Intelligible World, in Kerferd, G. B. and Walford, D. E. (1968), pp. 46–92.

    Google Scholar 

  • Kant, I. (1781) Critique of Pure Reason, N. K. Smith (1933) trans., Macmillan, London.

    Google Scholar 

  • Kant, I. (1783) Prolegomena to Any Future Metaphysics, Beck, L. W. (1950) ed. and trans., Bobbs Merrill, New York.

    Google Scholar 

  • Kant, I. (1786) Metaphysical Foundations of Natural Science, Ellington, J. (1970) trans., Bobbs Merrill, New York.

    Google Scholar 

  • Körner, S. (1966) Kant, Penguin Books, Baltimore.

    Google Scholar 

  • Lewis, D. (1979) ‘Attitudes De Dicto and De Se,’ The Philosophical Review 88, pp. 513–43; reprinted in Lewis (1983), pp. 133–156.

    Google Scholar 

  • Lewis, D. (1983) Philosophical Papers, Vol. I, Oxford University Press, Oxford.

    Google Scholar 

  • Mortenson, C. and Nerlich, G. (1983) ‘Space-time and Handedness,’ Ratio XXV, Vol. 1, pp. 1–13.

    Google Scholar 

  • Nerlich, G. (1973) ‘Hands, knees, and absolute space,’ Journal of Philosophy 70, 337–351. Revised version reprinted in this volume, pp. 151–172.

    Article  Google Scholar 

  • Nerlich, G. (1976) The Shape of Space, Cambridge University Press, Cambridge.

    Google Scholar 

  • Reichenbach, H. (1927) Space and Time, Reichenbach, M. trans. (1958), Dover Publ. Inc., New York.

    Google Scholar 

  • Remnant, P. (1963) ‘Incongruent counterparts and absolute space,’ Mind (bd72, 393–399. This volume, pp. 51–59.

    Google Scholar 

  • Sklar, L. (1974) Space, Time, and Space-Time, University of California Press, Berkeley.

    Google Scholar 

  • Spivak, M. (1979) A Comprehensive Introduction to Differential Geometry, Vol. 2, 2nd ed., Publish or Perish, Inc., Berkeley.

    Google Scholar 

  • Toretti, B. Philosophy of Geometry from Riemann to Poincaré

    Google Scholar 

  • Van Cleve, J. (1987) ‘Right, left, and the fourth dimension,’ Philosophical Review XCVI, 33–68. This volume, pp. 203-234.

    Article  Google Scholar 

  • van Fraassen, B. (1966) ‘Singular terms, truth value gaps, and free logic,’ Journal of Philosophy 63, 481–495.

    Article  Google Scholar 

  • van Fraassen, B. (1970) An Introduction to the Philosophy of Time and Space, Random House, New York.

    Google Scholar 

  • Walker, R. C. S. (1978) Kant, Routledge and Kegan Paul, London.

    Google Scholar 

  • Weyl, H. (1952) Symmetry, Princeton University Press, Princeton.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Harper, W. (1991). Kant on Incongruent Counterparts. In: Van Cleve, J., Frederick, R.E. (eds) The Philosophy of Right and Left. The University of Western Ontario Series in Philosophy of Science, vol 46. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3736-2_21

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-3736-2_21

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5661-8

  • Online ISBN: 978-94-011-3736-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics