The logical way of being true: Truth values and the ontological foundation of logic
DOI:
https://doi.org/10.12775/LLP.2013.031Keywords
reasoning, normativity, values, truth values, foundations of logic, logical worldsAbstract
In this paper I reject the normative interpretation of logic and give reasons for a realistic account based on the ontological treatment of logical values.References
Anderson, A.R. and N.D. Belnap, Entailment: The Logic of Relevance and Necessity, Vol. I, Princeton: Princeton University Press, 1975.
Aristotle. Prior Analytics.
Belnap, N., “Truth values, neither-true-nor-false, and supervaluations”, Studia Logica, 91 (2009): 305–334. DOI: 10.1007/s11225-009-9177-2
Bochvar, D., “On a three-valued calculus and its application to the analysis of the paradoxes of the classical extended functional calculus”, History and Philosophy of Logic, 2 (1981): 87–112. DOI: 10.1080/01445348108837023
Curry, H.B., Foundations of Mathematical Logic, New York: McGraw-Hill, 1963.
Frege, G., “Funktion und Begriff”, pages 1–22 in Funktion, Begriff, Bedeutung. Fünf logische Studien, Patzig, Günther (eds.), Göttingen: Vandenhoeck und Ruprecht, 2011.
Frege, G., “Über Sinn und Bedeutung”, pages 23–46 in Funktion, Begriff, Bedeutung. Fünf logische Studien, Patzig, Günther (eds.), Göttingen: Vandenhoeck und Ruprecht, 2011.
Frege, G., Schriften zur Logik und Sprachphilosophie, Hamburg: Meiner, 1990.
Hegel, G.W.F., The Science of Logic, Cambridge University Press, 2010.
Husserl, E., Logical Investigations, London: Routledge, 2001.
Kant, I., Introduction to Logic, New York: Philosophical Library, 1963.
Kleene, S.C., Introduction to Metamathematics, New York: Van Nostrand, 1952.
Kleene, S.C., Mathematical Logic, New York: Wiley, 1967.
Łukasiewicz, J., “Farewell lecture by professor Jan Łukasiewicz, delivered in the Warsaw University Lecture Hall in March, 1918”, pages 87–88 in J. Łukasiewicz, Selected Works, L. Borkowski (ed.), Amsterdam: North-Holland, 1970.
Łukasiewicz, J., “Two-valued logic”, pages 89–109 in J. Łukasiewicz, Selected Works, L. Borkowski (ed.), Amsterdam: North-Holland, 1970.
Łukasiewicz, J., “On determinism”, pages 110–128 in J. Łukasiewicz, Selected Works, L. Borkowski (ed.), Amsterdam: North-Holland, 1970.
Marshall, W., “Frege’s theory of functions and objects”, Philosophical Review, 62 (1953): 374–390. DOI: 10.2307/2182877
Niiniluoto, I., “The aim and structure of applied research”, Erkenntnis, 38 (1993): 1–21. DOI: 10.1007/BF01129020
Parker, K.. “Reconstructing the normative science”, Cognitio, 4 (2003): 27–45.
Peirce, C.S., “Philosophy and the sciences: a classification”, in Philosophical Writings of Peirce, J. Buchler (ed.), New York: Dover, 1955.
Peirce, C.S., The Collected Papers, vol. I.: Principles of Philosophy, Cambridge, MA: Harvard University Press, 1931.
Priest, G., “The logic of paradox”, Journal of Philosophical Logic, 8 (1979): 219–241. DOI: 10.1007/BF00258428
Sabine, G.H., “Descriptive and normative sciences”, Philosophical Review, 21 (1912): 433–450. DOI: 10.2307/2177252
Shramko, Y., and H. Wansing, Truth and Falsehood. An Inquiry into Generalized Logical Values, Dordrecht, Heidelberg, London, New York: Springer, 2011.
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