Metalogical properties, being logical and being formal

Jan Woleński

DOI: http://dx.doi.org/10.12775/LLP.2002.013

Abstract


The predicate ‘being logical’ has at least four applications. We can apply it to concepts, propositions, sets of propositions (systems, theories) and methods. The concepts of quantifier or disjunction are logical but those of horse or water are not. Some propositions, for instance, the principle of excluded middle, are logical, others, for instance the law of gravity, are not. Propositional calculus is a logical theory (belongs to logic), but the theory of evolution is not. In a sense, the problem of logical propositions reduces itself to the question of logical systems, because we can say that A is logical if and only if it belongs to a logical systems (however, see below). Finally, deduction is a logical method of justification, but observation is not.

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References


Barwise, J. 1985, “Model-theoretic logics: background and aims”, in J. Barwise and S. Feferman (Eds.), Model-Theoretic Logics, Berlin: Springer-Verlag, pp. 323.

Borkowski, L. 1981, “Characterization of quantifiers in the axiomatic theory of consequence”, in L. Borkowski and A. Stępień (Eds.), Studies in Logic and the Theory of Knowledge, Lublin: Towarzystwo Naukowe KUL, pp. 3739.

Cleave, J.P. 1991, A Study of Logics, Oxford: Clarendon Press 1991.

Feferman, S. 1999, “Logic, logics, and logicism”, Notre Dame Journal of Formal Logic 40, pp. 31–54.

Gabbay, D.M. 1994, “What is a logical system?”, in D.M. Gabbay (Ed.), What is a Logical System, Oxford: Clarendon Press, pp. 179–238.

Grandy, R. 1977, Advanced Logic for Applications, Dordrecht.

Haack, S. 1978, Philosophy of Logics, Cambridge: Cambridge University Press.

Hacking, I. 1979, “What is logic?”, The Journal of Philosophy 76, pp. 285–319.

Pogorzelski, W.A. 1994, Notions and Theorems of Elementary Formal Logic, Białystok: Warsaw University – Białystok Branch.

Quine V. Van 1970, Philosophy of Logic, Englewood Cliffs: Prentice-Hall.

Rescher, N. 1969, Many-Valued Logic, New York: McGraw-Hill.

Segerberg, K. 1982, Classical Propositional Operators, Oxford: Clarendon Press.

Shapiro, S. 1991, Foundations Without Foundationalism. The Case for Second-Order Logic. Oxford: Clarendon Press.

Shapiro, S. (Ed.), 1996, The Limits of Logic. Aldershot: Dartmouth.

Stekeler-Weithofer, P. 1986, Grundprobleme der Logik. Elemente einer Kritik der formalen Vernuft, Berlin: Walter de Gruyter.

Surma, S.J. 1981, “The growth of logic out of the foundational research in mathematics”, in E. Agazzi (Ed.), Modern Logic – A Survey. Historical, Philosophical, and Mathematical Aspects of Modern Logic and its Applications, Dordrecht: D. Reidel, pp. 15–33.

Surma, S.J. 1994, “Alternatives to the consequence-theoretic approach to metalogic”, Notas de Logica Matematica 39, pp. 1–30.

van Benthem, J. 1994, “General Dynamic Logic”, in D.M. Gabbay (Ed.), What is a Logical System, Oxford: Clarendon Press, pp. 107–139.

Woleński, J. 1994, “In defence of the first-order thesis”, in P. Kolaŕ and V. Svoboda (Eds.), Logica’93, Praha: Filosofia, pp. 1–11.

Woleński, J. 1995, “Logicism and the concept of logic”, in I. Max and W. Stelzner (eds.), Mathematik und Logik. Frege-Kolloquium Jena 1993, Berlin: Walter de Gruyter, pp. 111–119.

Woleński, J. 1995, “Mathematics and logic”, in W. de Pauli-Schimanowich, E. Köhler and F. Stadler (Eds.), The Foundational Debate, Dordrecht Academic Publishers, pp. 197–210.

Woleński, J. 1999, “Logic from a metalogical point of view”, in E. Orłowska (Ed.), Logic at Work. Essays Dedicated to the Memory of Helena Rasiowa, Berlin: Physica-Verlag, pp. 25–35.








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Financed by MNiSW on the basis of agreement no. 706/P-DUN/2018 (dated 10/05/18). Project 1: “Preparation of articles in English for eight editions of the journal Logic and Logical Philosophy over the period 2018–19; Vol. 27, No. 1–4 (2018), Vol. 28, No. 1–4 (2019)”; amount from the DUN grant: 64800 zł. Project 4: “Digitalisation of eight editions of the journal Logic and Logical Philosophy over the period 2018-19; Vol. 27, No. 1–4 (2018), Vol. 28, No. 1–4 (2019)”; amount from the DUN grant: 18600 zł.


ISSN: 1425-3305 (print version)
ISSN: 2300-9802 (electronic version)

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