Abduction and Geometrical Analysis. Notes on Charles S. Peirce and Edgar Allan Poe

  • Ilkka Niiniluoto


The method of analysis and synthesis in Greek geometry is perhaps the most significant key idea in the history of heuristic reasoning. In theoretical analysis, reasoning goes backward from a theorem to the axioms from which it deductively follows. In problematical analysis, the desired thing is supposed to be given (this defines the so-called “model figure”), and then the reasoning again goes backward looking for possible constructions from which the sought thing results. This paper states that Charles S. Peirce’s description of abduction, as a retroductive inference of a cause from its effects, is an instance of the propositional interpretation of analysis. What Jaakko Hintikka calls the “analysis of figures” view of problematical analysis is illustrated by detective stories of Edgar Allan Poe. The same idea is repeated in Poe’s essay “Philosophy of Composition” where he tells that he wrote his poem The Raven (1845) analytically by starting at the end.


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  1. Aliseda-Llera, A., 1997, Seeking explanations: abduction in logic, philosophy of science and artificial intelligence, ILLC Dissertation Series, University of Amsterdam, Amsterdam.Google Scholar
  2. Chandler, R., 1964, The simple art of murder, in: Pearls are a Nuisance, Penguin Books, Harmondsworth.Google Scholar
  3. Crombie, A., 1953, Robert Grosseteste and the Origins of Experimental Science (1100–1700), Oxford University Press, Oxford.Google Scholar
  4. Descartes, R., 1954, Geometry, Dover, New York.Google Scholar
  5. Doyle, A.C., 1952, The Complete Sherlock Holmes, Doubleday, Garden City, N.Y.Google Scholar
  6. Eco, U., and Sebeok, T.A., eds., 1983, The Sign of Three: Dupin, Holmes,Peirce, Indiana University Press, Bloomington.Google Scholar
  7. Harrowitz, N., 1983,The body of the detective model: Charles S. Peirce and Edgar Allan Poe, in: U. Eco and T.A. Sebeok, eds., pp. 179–197.Google Scholar
  8. Heath, T.L., 1956, The Thirteen Books of Euclid’s Elements, vols. 1–3, Dover, New York.MATHGoogle Scholar
  9. Hintikka, J., 1975, The Intentions of Intentionality, Reidel, Dordrecht.CrossRefMATHGoogle Scholar
  10. Hintikka, J., 1998, What is abduction? The fundamental problem of contemporary epistemology, Transactions of the Charles S. Peirce Society 34:503–533.Google Scholar
  11. Hintikka, J., and Hintikka, M.B., 1983.Sherlock Holmes confronts modern logic, in: U. Eco, and T.A. Sebeok, eds., pp. 154–169.Google Scholar
  12. Hintikka, J., and Remes, U., 1974, The Method of Analysis. Its Geometrical Origin and Its General Significance, Reidel, Dordrecht.MATHGoogle Scholar
  13. Mäenpää, P., 1997, From backward reduction to configurational analysis, in: Analysis and Synthesis in Mathematics, M. Otte and M. Panza, eds., Kluwer, Dordrecht, pp. 201–226.CrossRefGoogle Scholar
  14. Niiniluoto, I., 1984, Is Science Progressive?, Reidel, Dordrecht.Google Scholar
  15. Niiniluoto, I., 1993, Peirce’s theory of statistical explanation, in: Charles S. Peirce and the Philosophy of Science, E.C. Moore, ed., The University of Alabama Press, Tuscaloosa, pp. 186–207.Google Scholar
  16. Niiniluoto, I., 1995, Hintikka and Whewell on Aristotelian induction, Grazer Philosophische Studien 49:49–61.Google Scholar
  17. Niiniluoto, I., 1998, Defending abduction, PSA 1998. Google Scholar
  18. Pappus, 1986, Synagoge VII, English trasl. by A. Jones, Springer-Verlag, New York.Google Scholar
  19. Peirce, C.S., 1931–35, 1958, Collected Papers 1–6, C. Hartshorne and P. Weiss, eds.; 7–8, A. Burks, ed., Harvard University Press, Cambridge, MA.Google Scholar
  20. Peirce, C.S., 1982-,Writings of Charles S. Peirce: A Chronological Edition 1-, M. Fisch. et al., eds., Indiana University Press, Bloomington.Google Scholar
  21. Poe, E.A., 1927, Poems and Essays, Everyman’s Library, Dent, London. (Reprinted, 1977.)Google Scholar
  22. Poe, E.A., 1976,The Science Fiction of Edgar Allan Poe,H. Beaver, ed., Penguin Books, Harmondsworth.Google Scholar
  23. Poe, E.A., 1977,The Portable Poe, P. van Doren Stern, ed., Penguin Books, Harmondsworth.Google Scholar
  24. Polya, G., 1945, How to Solve It, Princeton University Press, Princeton.MATHGoogle Scholar
  25. Randall, J.H., 1961, The School of Padua and the Emergence of Modern Science, Padova.Google Scholar
  26. Sebeok, T.A., and Umiker-Sebeok, J., 1980,“You Know My Method”: A Juxtaposition of Charles S. Peirce and Sherlock Holmes, Gaslight Publications, Bloomington, Indiana.(Reprinted in U. Eco and T.A. Sebeok, eds., pp. 11–54.)Google Scholar
  27. Smith, L.D., 1955, Cryptography: The Science of Secret Writing, Dover, New York.Google Scholar
  28. Truzzi, M., 1983,Sherlock Holmes: applied social psychologist, in U. Eco and T.A. Sebeok, eds., pp. 55–80.Google Scholar
  29. Whewell, W., 1860, The Philosophy of Discovery, London. (New Edition: Lenox Hill, Burt Franklin, New York, 1971).Google Scholar

Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Ilkka Niiniluoto
    • 1
  1. 1.Department of PhilosophyUniversity of HelsinkiHelsinkiFinland

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