The logical way of being true: Truth values and the ontological foundation of logic

Yaroslav Shramko

DOI: http://dx.doi.org/10.12775/LLP.2013.031

Abstract


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.

Keywords


reasoning; normativity; values; truth values; foundations of logic; logical worlds

Full Text:

PDF

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.




Bookmark and Share




Print ISSN: 1425-3305
Online ISSN: 2300-9802

Partnerzy platformy czasopism