Formalization and the objects of logic

Erkenntnis 69 (1):1 - 30 (2008)
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Abstract

There is a long-standing debate whether propositions, sentences, statements or utterances provide an answer to the question of what objects logical formulas stand for. Based on the traditional understanding of logic as a science of valid arguments, this question is firstly framed more exactly, making explicit that it calls not only for identifying some class of objects, but also for explaining their relationship to ordinary language utterances. It is then argued that there are strong arguments against the proposals commonly put forward in the debate. The core of the problem is that an informative account of the objects formulas stand for presupposes a theory of formalization; that is, a theory that explains what formulas may adequately substitute for an inference in proofs of validity. Although such theories are still subject to research, some consequences can be drawn from an analysis of the reasons why the common accounts featuring sentences, propositions or utterances fail. Theories of formalization cannot refer to utterances qua expressions of propositions; instead they may refer to sentences and rely on additional information about linguistic structure and pragmatic context.

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Georg Brun
University of Bern

Citations of this work

Logical Form: Between Logic and Natural Language.Andrea Iacona - 2018 - Cham, Switzerland: Springer Verlag.
The Different Ways in which Logic is (said to be) Formal.Catarina Dutilh Novaes - 2011 - History and Philosophy of Logic 32 (4):303 - 332.
Reconstructing Arguments: Formalization and Reflective Equilibrium.Georg Brun - 2014 - History of Philosophy & Logical Analysis 17 (1):94-129.
A measure of inferential-role preservation.A. C. Paseau - 2019 - Synthese 196 (7):2621-2642.
Logical Form and Truth-Conditions.Andrea Iacona - 2013 - Theoria 28 (3):439-457.

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References found in this work

Word and Object.Willard Van Orman Quine - 1960 - Cambridge, MA, USA: MIT Press.
Demonstratives: An Essay on the Semantics, Logic, Metaphysics and Epistemology of Demonstratives and other Indexicals.David Kaplan - 1989 - In Joseph Almog, John Perry & Howard Wettstein (eds.), Themes From Kaplan. New York: Oxford University Press. pp. 481-563.
Inquiries Into Truth And Interpretation.Donald Davidson - 1984 - Oxford, GB: Oxford University Press.
Knowledge of Language: Its Nature, Origin, and Use.Noam Chomsky - 1986 - Prager. Edited by Darragh Byrne & Max Kölbel.

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