History and Philosophy of Logic 30 (3):283-291 (2009)
This article opposes a view widely accepted in studies concerning the history of modal logic, according to which (i) the approach of C. I. Lewis towards constructing modern modal logic was purely syntactical (i.e. limited to the construction of axiomatic systems S1-S5 of propositional modal logic), and (ii) the notion of a possible world was incorporated into modern logic and philosophy mainly by authors such as Rudolf Carnap and Saul Kripke. The article presents Lewis' definition of a possible world, and his formulation of the truth-conditions of statements containing strict implication as their main connective in terms of possible worlds. The main question of the article is whether it is possible to consider Lewis' work in this area as an early stage of the development of possible world semantics, and if so, in what sense? The article concludes by answering affirmatively, due to soundness and completeness proofs with respect to S5 using Lewis' semantics
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
References found in this work BETA
First-Order Modal Logic.Melvin Fitting, R. Mendelsohn & Roderic A. Girle - 2002 - Bulletin of Symbolic Logic 8 (3):429-430.
The Genesis of Possible Worlds Semantics.B. Jack Copeland - 2002 - Journal of Philosophical Logic 31 (2):99-137.
Facts, Systems, and the Unity of the World.C. I. Lewis - 1923 - Journal of Philosophy 20 (6):141-151.
Citations of this work BETA
Royce's Model of the Absolute.Eric Steinhart - 2012 - Transactions of the Charles S. Peirce Society 48 (3):356-384.
Similar books and articles
Quantified Modal Logic: Non-Normal Worlds and Propositional Attitudes.Veikko Rantala - 1982 - Studia Logica 41 (1):41 - 65.
The Cardinality Objection to David Lewis's Modal Realism.Alexander R. Pruss - 2001 - Philosophical Studies 104 (2):169-178.
David Lewis: On the Plurality of Worlds.Phillip Bricker - 2006 - In John Shand (ed.), Central Works of Philosophy, Vol. 5: The Twentieth Century: Quine and After. Acumen Publishing.
Remarks on the Modal Logic of Henry Bradford Smith.Mary C. MacLeod & Peter K. Schotch - 2000 - Journal of Philosophical Logic 29 (6):603-615.
Modal Logic From Kant to Possible Worlds Semantics.Tapio Korte, Ari Maunu & Tuomo Aho - 2009 - In Leila Haaparanta (ed.), The Development of Modern Logic. Oxford University Press.
Added to index2010-07-27
Total downloads43 ( #117,730 of 2,152,648 )
Recent downloads (6 months)1 ( #399,611 of 2,152,648 )
How can I increase my downloads?