Abstract
Allo & Mares [2] present an “informational” account of logical consequence that is based on the content-nonexpansion platitude. The core of this proposal is an inversion of the standard direction of explanation: Informational content is not defined relative to a pre-existing logical space, but it is approached in terms of the level of abstraction at which information is assessed.
In this paper I focus directly on one of the main ideas introduced in that paper, namely the contrast between logical discrimination and deductive strength, and use this contrast to (1) illustrate a number of open problems for an informational conception of logical consequence, (2) review its connection with the dynamic turn in logic, and (3) situate it relative to the research agenda of the philosophy of information.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Aberdein, A., Read, S.: The philosophy of alternative logics. In: Haaparanta, L. (ed.) The Development of Modern Logic, pp. 613–723. Oxford University Press, Oxford (2009)
Allo, P., Mares, E.: Informational semantics as a third alternative? Erkenntnis, 1–19 (2011), http://dx.doi.org/10.1007/s10670-011-9356-1
Anderson, A.R., Belnap, N.D.: Entailment. The Logic of Relevance and Necessity, vol. I. Princeton University Press, Princeton (1975)
Barwise, J.: Information and impossibilities. Notre Dame Journal of Formal Logic 38(4), 488–515 (1997)
Barwise, J., Perry, J.: Situation and Attitudes. The David Hume Series of Philosophy and Cognitive Science Reissues. CSLI Publications, Stanford (1999)
Beall, J.C., Restall, G.: Logical Pluralism. Oxford University Press, Oxford (2006)
Beall, J., Brady, R., Dunn, J., Hazen, A., Mares, E., Meyer, R., Priest, G., Restall, G., Ripley, D., Slaney, J., Sylvan, R.: On the ternary relation and conditionality. Journal of Philosophical Logic, 1–18 (May 2011) online First
van Benthem, J.: Logical dynamics meets logical pluralism? Australasian Journal of Logic 6, 182–209 (2008)
van Benthem, J.: The information in intuitionistic logic. Synthese 167(2), 251–270 (2009)
Copeland, B.J.: On when a semantics is not a semantics: Some reasons for disliking the Routley-Meyer semantics for relevance logic. Journal of Philosophical Logic 8(1), 399–413 (1979), http://dx.doi.org/10.1007/BF00258440
Floridi, L.: The Philosophy of Information. Oxford University Press, Oxford (2011)
Gentzen, G.: Untersuchungen über das logische Schließen. I. Mathematische Zeitschrift 39(1), 176–210 (1935)
Haack, S.: Deviant Logic. Some Philosophical Issues. Cambridge University Press, Cambridge (1974)
Humberstone, I.L.: Logical discrimination. In: Béziau, J.Y. (ed.) Logica Universalis, pp. 207–228. Birkhäuser Verlag, Basel (2005)
Mares, E.: Relevant logic and the theory of information. Synthese 109(3), 345–360 (1997)
Mares, E.: General information in relevant logic. Synthese 167(2), 343–362 (2009)
Paoli, F.: Substructural logics a primer. Trends in Logic: Studia Logica Library, vol. 13. Kluwer Academic, Dordrecht (2002)
Restall, G.: Information flow and relevant logics. In: Seligman, J., Westerståhl, D. (eds.) Logic, Language and Computation: The 1994 Moraga Proceedings, pp. 463–477. CSLI-Press, Stanford (1994)
Saguillo, J.M.: Methodological practice and complementary concepts of logical consequence: Tarski’s model-theoretic consequence and Corcoran’s information-theoretic consequence. History and Philosophy of Logic 30(1), 21–48 (2009)
Tarski, A.: On the concept of logical consequence. In: Tarski, A., Corcoran, J. (eds.) Logic, Semantics, Meta-Matematics, 2nd edn., Hackett, Indianapolis (1983)
Wansing, H.: The Logic of Information Structures. LNCS (LNAI), vol. 681. Springer, Berlin (1993)
Wansing, H.: Informational interpretation of substructural logics. Journal of Logic, Language and Information 2, 285–308 (1993)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Allo, P. (2012). Information and Logical Discrimination. In: Cooper, S.B., Dawar, A., Löwe, B. (eds) How the World Computes. CiE 2012. Lecture Notes in Computer Science, vol 7318. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30870-3_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-30870-3_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-30869-7
Online ISBN: 978-3-642-30870-3
eBook Packages: Computer ScienceComputer Science (R0)