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On Jaśkowski's discussive logics

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We expose the main ideas, concepts and results about Jaśkowski's discussive logic, and apply that logic to the concept of pragmatic truth and to the Dalla Chiara-di Francia view of the foundations of physics.

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References

  • Arruda, A. I., 1980, ‘A survey of paraconsistent logic’, in A. I. Arruda, N. C. A. da Costa and R. Chuaqui (eds.),Mathematical Logic in Latin America, North-Holland, 1 – 41.

  • Arruda, A. I., 1989, ‘Aspects of the historical development of paraconsistent logic’, in G. Priest, R. Routley and J. Norman (eds.),Paraconsistent Logic, Philosophia Verlag, 99 – 130.

  • Church, A., 1956,Introduction to Mathematical Logic, Princeton University Press.

  • da Costa, N. C. A., 1975, ‘Remarks on Jaśkowski's discussive logic’,Rep. Math. Logic 4, 7–16.

    Google Scholar 

  • da Costa, N. C. A., 1989a, ‘Logic and pragmatic truth’, in J. E. Fenstad et al. (eds.),Logic, Methodology and Philosophy of Science VIII, Elsevier, 247 – 261.

  • da Costa, N. C. A., 1989b, ‘Logcis that are both paraconsistent and paracomplete’,Atti Acad. Lincei Rend. Fis. 83 (8), 29–32.

    Google Scholar 

  • da Costa, N. C. A. andR. Chuaqui, 1988, ‘On Suppes' Set-Theoretic Predicates’,Erkenntnis 29, 95–112.

    Google Scholar 

  • da Costa, N. C. A. andR. Chuaqui, 1990, ‘The logic of pragmatic truth’, to appear.

  • da Costa, N. C. A. andF. A. Doria, 1990, ‘Jaśkowski's logic and the foundations of physics’, preprint.

  • da Costa, N. C. A. andF. A. Doria, 1991, ‘Undecidability and Incompleteness in Classical Mechanics’,International Journal of Theoretical Physics 30, 1041–1073.

    Google Scholar 

  • da Costa, N. C. A. andF. A. Doria, 1992a, ‘Structures, Suppes Predicates and Boolean-Valued Models in Physics’, to appear in J. Hintikka (ed.),Festschrift in Honor of Prof. V. Smirnov on his 60th Birthday.

  • da Costa, N. C. A. andF. A. Doria, 1992b, ‘Suppes Predicates for Classical Physics’, in J. Echeverría et al. (eds.),The Space of Mathematics Walter de Gruyter, Berlin-New York.

    Google Scholar 

  • da Costa, N. C. A. andF. A. Doria, 1992c, ‘On the incompleteness of axiomatized models for the empirical sciences’,Philosophica 50, 901–928.

    Google Scholar 

  • da Costa, N. C. A. andF. A. Doria, 19XX,Metamathematics of Physics, to appear.

  • da Costa, N. C. A., F. A. Doria andJ. A. de Barros, 1990, ‘A Suppes Predicate for General Relativity and Set-Theoretically Generic Spacetimes’,International Journal of Theoretical Physics 29, 935–961.

    Google Scholar 

  • da Costa, N. C. A. andL. Dubikajtis, 1968, ‘Sur la logique discoursive de Jaśkowski’,Bull. Acad. Polonaise des Sciences 26, 551–557.

    Google Scholar 

  • da Costa, N. C. A. andL. Dubikajtis, 1977, ‘On Jaśkowski's discussive logic’, in A. I. Arruda, N. C. A. da Costa and R. Chuaqui (eds.),Non-Classical Logic, Model Theory and Computability, North-Holland, 37 – 56.

  • da Costa, N. C. A. andD. Marconi, 1987, ‘An overview of paraconsistent logic in the 80s’,Monografias da Soc. Paranaense de Matemática 5.

  • Dalla Chiara, M. L., andR. Giuntini, 1989, ‘Paraconsistent Quantum Logics’,Foundations of Physics 19, 891–904.

    Google Scholar 

  • Dalla Chiara, M. L. andG. Toraldo di Francia, 1981,Le Teorie Fisiche, Boringhieri.

  • T. Furmanowski, T., 1975, ‘Remarks on discussive propositional calculus’,Studia Logica 34, 39–43.

    Google Scholar 

  • L. Henkin andR. Montague, 1956, ‘On the definition of formal deduction’,Journal of Symbolic Logic 21, 129–136.

    Google Scholar 

  • Hughes, G. H. andM. J. Cresswell, 1968,An Introduction to Modal Logic, Methuen.

  • Jaśkowski, S., 1948, ‘Rachunek zdań dla systemów dedukcyjnych sprzecznych’,Studia Soc. Sci. Torunensis 5, 55–77.

    Google Scholar 

  • Jaśkowski, S., 1949, ‘O koniunkcji dyskusyjnej w rachunku zdań dla systemów dedukcyjnych sprzecznych’,Studia Soc. Sci. Torunensis 8, 171–172.

    Google Scholar 

  • Jaśkowski, S., 1969, ‘Propositional calculus for contradictory deductive systems’,Studia Logica 24, 143–157.

    Google Scholar 

  • Kleene, S. C., 1967,Mathematical Logic, Wiley.

  • Kotas, J., 1971, ‘On the algebra of classes of formulæ of Jaśkowski's discussive system’,Studia Logica 27, 81–91.

    Google Scholar 

  • Kotas, J., 1974, ‘The axiomatization of Jaśkowski's discussive system’,Studia Logica 28, 195–200.

    Google Scholar 

  • Kotas, J., 1975, ‘Discussive sentential calculus of Jaśkowski’,Studia Logica 24, 149–168.

    Google Scholar 

  • I. Mikenberg, N. C. A. da Costa andR. Chuaqui, 1986, ‘Pragmatic truth and approximation to truth’,Journal of Symbolic Logic 51, 201–221.

    Google Scholar 

  • G. R. Priest, R. Routley andJ. Norman (eds.), 1989,Paraconsistent Logic, Philosophia Verlag.

  • Quine, W. v. O., 1950,Methods of Logic, Holt.

  • Rescher, N. andR. Brandon, 1980,The Logic of Inconsistency, Blackwell.

  • Shoenfield, J., 1967,Mathematical Logic, Addison-Wesley.

  • Stewart, I., 1991, Deciding the undecidable,Nature 352, 664–665.

    Google Scholar 

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Partially supported by grants from JNICT (Portugal) and FAPESP (Brazil), Philosophy Section. Portions of this paper were concluded while the second author visited the Math-Phys Seminar at the University of Algarve (Portugal).

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da Costa, N.C.A., Doria, F.A. On Jaśkowski's discussive logics. Stud Logica 54, 33–60 (1995). https://doi.org/10.1007/BF01058531

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