Movatterモバイル変換


[0]ホーム

URL:


Skip to main content

Advertisement

Springer Nature Link
Log in

Psychologism in Logic: Some Similarities between Boole and Frege

  • Chapter

Part of the book series:Synthese Library ((SYLI,volume 291))

  • 281Accesses

  • 4Citations

Abstract

This paper challenges the common view that Boole is a psychologistic philosopher and Frege an anti-psychologistic one. As there is no single agreed notion of what psychologism in (deductive) logic is, various characterizations given in the literature are employed to show that there are similarities between Boole and Frege whichever account is chosen. The emphasis on similarities is in no way meant to deny that there also exist differences between them; these however are not considered here.

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

Access this chapter

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
JPY 3498
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
JPY 17159
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
JPY 21449
Price includes VAT (Japan)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide -see info
Hardcover Book
JPY 21449
Price includes VAT (Japan)
  • 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  • Agazzi, E., and N. Vassallo, eds. 1998a.George Boole: filosofia, logica, matematica. Milano: Franco Angeli.

    Google Scholar 

  • Agazzi, E., and N. Vassallo, eds. 1998b.Introduzione al naturalismo filosofico contemporaneo. Milano: Franco Angeli.

    Google Scholar 

  • Baker, G.P., and P.M.S. Hacker. 1984.Frege: Logical excavations. New York: Oxford University Press.

    Google Scholar 

  • Baker, G.P., and P.M.S. 1989. Frege’s anti-psychologism. InPerspectives on psychologism, edited by M.A. Notturno. Leiden: E.J. Brill.

    Google Scholar 

  • Barone, F. 1961. ‘Algebra della logica’ e ‘Leggi del pensiero’.Filosofia 12: 39–86.

    Google Scholar 

  • Bochenski, I.M. 1956.Formale Logik. Freiburg/München: Karl Alber.

    Google Scholar 

  • Boole, G. [1854] 1958.An investigation of the laws of thought, on which are founded the mathematical theories of logic and probabilities. Cambridge and London: Walton and Maberley. Reprint, New York: Dover.

    Google Scholar 

  • Boole, G. 1952.Studies in logic and probability, edited by R. Rhees. London: Watts.

    Google Scholar 

  • Boole, G. 1997.Selected manuscripts on logic and its philosophy, edited by I. Grattan-Guinness and G. Bornet. Basel: Birkhäuser.

    Google Scholar 

  • Bornet, G. 1995. George Boole’s linguistic turn and the origins of analytical philosophy. InThe British tradition in 20th century philosophy, edited by J. Hintikka and K. Puhl. Wien: Holder-Pichler-Tempsky.

    Google Scholar 

  • Bornet, G. 1997. Boole’s psychologism as a reception problem. In Boole (1997), xlvii-lviii.

    Google Scholar 

  • Brockhaus, R.R. 1991. Realism and psychologism in 19th century logic.Philosophy and Phenomenological Research 51: 493–524.

    Article  Google Scholar 

  • Callebaut, W., and E. Sober. 1993. The return of psychologism. InTaking the naturalistic turn or how real philosophy of science is done, edited by W. Callebaut. Chicago: University of Chicago Press.

    Google Scholar 

  • Carnap, R. 1950.Logical foundations of probabilities. Chicago: University of Chicago Press.

    Google Scholar 

  • Cobb-Stevens, R. 1990.Husserl and analytic philosophy. Dordrecht: Kluwer.

    Book  Google Scholar 

  • Cohen, M.R., and E. Nagel. [1934] 1972.Introduction to logic and scientific method. New York: Harcourt Brace. Reprint, London: Routledge.

    Google Scholar 

  • Currie, G. 1982.Frege, an introduction to his philosophy. Brighton: Harvester Press.

    Google Scholar 

  • Dalla Chiara, M.L. 1979.Logica. Milano: Mondadori.

    Google Scholar 

  • Di Francesco, M. 1996.Introduzione alla filosofia della mente. Roma: Laterza.

    Google Scholar 

  • Dummett, M. 1973.Frege. Philosophy of language. London: Duckworth.

    Google Scholar 

  • Dummett, M. 1978.Truth and other enigmas. London: Duckworth.

    Google Scholar 

  • Dummett, M. 1983. ‘Preface to the Italian edition’ of Dummett (1973). Casale Monferrato: Marietti.

    Google Scholar 

  • Dummett, M. 1993.Origins of analytical philosophy. London: Duckworth.

    Google Scholar 

  • Ferriani, M. 1984. Boole, Frege e la distinzione leibnizianaLingua-Calculus. Annali di discipline filosofiche dell’Universita di Bologna 3: 145–71.

    Google Scholar 

  • Feys, R. 1955. Boole as a logician.Proceedings of the Royal Irish Academy 57: 97–106.

    Google Scholar 

  • Frege, G. 1950.The foundations of arithmetic. Oxford: Blackwell.

    Google Scholar 

  • Frege, G. 1952.Translations from the philosophical writing of Gottlob Frege. Edited by P.T. Geach and M. Black. Oxford: Blackwell.

    Google Scholar 

  • Frege, G. 1964.The basic laws of arithmetic. Berkeley: University of California Press.

    Google Scholar 

  • Frege, G. 1977.Logical investigations. Edited by P.T. Geach. New Haven: Yale University Press.

    Google Scholar 

  • Frege, G. 1979.Posthumous writings. Oxford: Blackwell.

    Google Scholar 

  • Frege, G. 1980.Philosophical and mathematical correspondence. Oxford: Blackwell.

    Google Scholar 

  • Frege, G. 1989.Briefe an Ludwig Wittgenstein.Grazer Philosophische Studien 33/34: 8–26.

    Google Scholar 

  • French, P.A., T.E. Uehling, and H.K. Wettstein, eds. 1994.Philosophical naturalism. Midwest Studies in Philosophy no 19.

    Google Scholar 

  • Goldfarb, W. 1979. Logic in the twenties: the nature of the quantifier.Journal of Symbolic Logic 44: 351–68.

    Article  Google Scholar 

  • Grattan-Guinness, I. 1982. Psychology in the foundation of logic and mathematics: the cases of Boole, Cantor and Brouwer.History and Philosophy of Logic 3: 33–53.

    Article  Google Scholar 

  • Frege, G. 1988. Living together and living apart. On the interactions between mathematics and logics from the French Revolution to the First World War.South African Journal of Philosophy 7: 73–82.

    Google Scholar 

  • Frege, G. 1997. Boole’s quest for the foundations of his logic. In Boole (1997), xiii-xlvii.

    Google Scholar 

  • Haack, S. 1978.Philosophy of logics. New York: Cambridge University Press.

    Book  Google Scholar 

  • Hesse, M.B. 1952. Boole’s philosophy of logic.Annals of Science 8: 61–81.

    Article  Google Scholar 

  • Husserl, E. 1900, 1913.Logische Untersuchungen. Vol. 1,Prolegomena zur reinen Logik. Tübingen: M. Niemeyer.

    Google Scholar 

  • Johnson, W.E. 1921.Logic, part I. Cambridge: Cambridge University Press.

    Google Scholar 

  • Jørgensen, J. [1931] 1962.A treatise of formal logic. Oxford. Reprint, New York: Russell and Russell.

    Google Scholar 

  • Jourdain, P.E.B. 1910. The development of the theories of mathematical logic and the principles of mathematics.Quarterly Journal of Pure and Applied Mathematics 41: 324–52.

    Google Scholar 

  • Kitcher, P. 1979. Frege’s epistemology.Philosophical Review 86: 235–62.

    Article  Google Scholar 

  • Kitcher, P. 1992. The naturalists return.Philosophical Review 101: 53–114.

    Article  Google Scholar 

  • Kneale, W., and M. Kneale. 1962.The development of logic. Oxford: Clarendon Press.

    Google Scholar 

  • Laita, L.M. 1980. Boolean algebra and its extra-logical sources: the testimony of Mary Everest Boole.History and Philosophy of Logic 1: 37–60.

    Article  Google Scholar 

  • MacHale, D. 1985.George Boole, his life and work. Dublin: Boole Press.

    Google Scholar 

  • Mangione, C. 1972. La svolta della logica nell’Ottocento. InStoria del pensiero filosofico e scientifico, edited by L. Geymonat. Milano: Garzanti.

    Google Scholar 

  • Mangione, C., and S. Bozzi. 1993.Storia della logica, da Boole ai nostri giorni. Milano: Garzanti.

    Google Scholar 

  • McGinn, C. 1993. Logic, mind and mathematics.Philosophical Issues 4: 101–27.

    Article  Google Scholar 

  • Mohanty, J.N. 1989. Psychologism. InPerspectives on psychologism, edited by M.A. Notturno. Leiden: E.J. Brill.

    Google Scholar 

  • Mugnai, M. 1993. ‘Introduction’ to the Italian edition of G. Boole,The mathematical analysis of logic [in Boole (1952)]. Torino: Bollati e Boringhieri.

    Google Scholar 

  • Mugnai, M. 1998. Boole e lo psicologismo: la caratterizzazione delle leggi logiche inAn investigation of the laws of thought. In Agazzi and Vassallo (1998a), 111–130.

    Google Scholar 

  • Musgrave, A. 1972. George Boole and psychologism.Scientia 107: 593–608.

    Google Scholar 

  • Notturno, M.A. 1982. Frege and the psychological reality thesis.Journal for the Theory of Social Behaviour 12: 329–44.

    Article  Google Scholar 

  • Picardi, E. 1996. Frege’s anti-psychologism. InFrege: importance and legacy, edited by M. Schirn. Berlin: Walter de Gruyter.

    Google Scholar 

  • Putnam, H. 1990. Peirce the logician. In Putnam, H.,Realism with a human face. Cambridge, Mass: Harvard University Press.

    Google Scholar 

  • Radnitzky, G. 1976. Popperian philosophy of science as an antidote against relativism. InEssays in memory of Imre Lakatos, edited by R.S. Cohen et al. Dordrecht: Kluwer.

    Google Scholar 

  • Russell, B. 1901. Recent work on the principles of mathematics.International Monthly 4: 83–101.

    Google Scholar 

  • Ryle, G. 1956.The revolution in philosophy. London: Macmillan.

    Google Scholar 

  • Seebohm, T.M. 1991. Psychologism revisited. InPhenomenology and the formal sciences, edited by T.M. Seebohm, D. Follesdal, and J.N. Mohanty. Dordrecht: Kluwer.

    Chapter  Google Scholar 

  • Sober, E. 1978. Psychologism.Journal for the Theory of Social Behaviour 8: 165–91.

    Article  Google Scholar 

  • Thagard, P. 1982. From the descriptive to the normative in psychology and logic.Philosophy of Science 49: 24–42.

    Article  Google Scholar 

  • Thomas, I. 1955. Boole’s concept of science.Proceedings of the Royal Irish Academy 57: 88–96.

    Google Scholar 

  • Vassallo, N. 1995.La depsicologizzazione della logica. Un confronto tra Boole e Frege. Milano: Franco Angeli.

    Google Scholar 

  • Vassallo, N. 1997a. On Dummett’s early Frege and analytical philosophy.Dialectica 51: 171–87.

    Article  Google Scholar 

  • Vassallo, N. 1997b. Analysis versus laws: Boole’s explanatory psychologism versus his explanatory antipsychologism.History and Philosophy of Logic 18: 151–63.

    Article  Google Scholar 

  • Vassallo, N. 1998. Objective and subjective: some difficulties for Frege. InLa réalité et le signe, edited by M. Negro. Fribourg: Editions Universitaires de Fribourg.

    Google Scholar 

  • Villanueva, E., ed. 1993. Naturalism and normativity.Philosophical Issues 4.

    Google Scholar 

  • Weiner, J. 1990.Frege in perspective. Ithaca: Cornell University Press.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Philosophy, University of Genoa, via Balbi 4, I-16126, Genova, Italy

    Nicla Vassallo

Authors
  1. Nicla Vassallo

Editor information

Editors and Affiliations

  1. University of Lausanne, Switzerland

    James Gasser

Rights and permissions

Copyright information

© 2000 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Vassallo, N. (2000). Psychologism in Logic: Some Similarities between Boole and Frege. In: Gasser, J. (eds) A Boole Anthology. Synthese Library, vol 291. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9385-4_17

Download citation

Publish with us

Access this chapter

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
JPY 3498
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
JPY 17159
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
JPY 21449
Price includes VAT (Japan)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide -see info
Hardcover Book
JPY 21449
Price includes VAT (Japan)
  • 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


[8]ページ先頭

©2009-2025 Movatter.jp