front cover of Necessity and Possibility
Necessity and Possibility
The Logical Strategy of Kant's Critique of Pure Reason
Kurt Mosser
Catholic University of America Press, 2008
Kurt Mosser argues that reading Kant's Critique of Pure Reason as an argument for such a logic of experience makes more defensible many of Kant's most controversial claims, and makes more accessible Kant's notoriously difficult text.
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front cover of Necessity or Contingency
Necessity or Contingency
The Master Argument
Jules Vuillemin
CSLI, 1996
The Master Argument, recorded by Epictetus, indicates that Diodorus had deduced a contradiction from the conjoint assertion of three propositions. The Argument, which has to do with necessity and contingency and therefore with freedom, has attracted the attention of logicians above all. There have been many attempts at reconstructing it in logical terms, without excessive worry about historical plausibility and with the foregone conclusion that it was sophistic since it directly imperilled our common sense notion of freedom. This text takes exception to recent tradition, translating the propositions into logical terms. The propositions figuring in The Master Argument are interpreted in terms of temporal modal logic where both the modalities and the statements they govern have chronological indices. This means that the force of the argument comes not from purely logical or modal considerations, but from our experience of time.
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front cover of Nonmonotonic Reasoning
Nonmonotonic Reasoning
An Overview
Gerhard Brewka, Jürgen Dix, and Kurt Konolige
CSLI, 1997
Nonmonotonic reasoning is a subfield of Artificial Intelligence trying to find more realistic formal models of reasoning than classical logic. In common sense reasoning one often draws conclusions that have to be withdrawn when further information is obtained. The set of conclusions thus does not grow monotonically with the given information. It is this phenomenon that nonmonotonic reasoning methods try to formalize. This volume gives an overview on recent results in the field and points to relevant literature for further study. This up-to-date survey of research in the area of nonmonotonic reasoning includes a concise description of the most influential nonmonotonic logics (e.g. circumscription, autoepistemic logic and default logic), a presentation of recent research in abduction, as well as an overview of semantics for logic programs with default negation. The primary goal of this volume is to make recent results in the field more accessible. An extensive bibliography is included.
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