C. I. Lewis on Possible Worlds

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
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DOI 10.1080/01445340902884544
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References found in this work BETA
The Nature of Necessity.Alvin Plantinga - 1974 - Clarendon Press.
Modal Logic: An Introduction.Brian F. Chellas - 1980 - Cambridge University Press.
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.

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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.
Royce's Model of the Absolute. Steinhart - 2012 - Transactions of the Charles S. Peirce Society 48 (3):356.
A Lewisian Semantics for S2.Edwin Mares - 2013 - History and Philosophy of Logic 34 (1):53-67.

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