Topics in Conditional Logic


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The Logic of Conditionals


Book Description

Of the four chapters in this book, the first two discuss (albeit in consider ably modified form) matters previously discussed in my papers 'On the Logic of Conditionals' [1] and 'Probability and the Logic of Conditionals' [2], while the last two present essentially new material. Chapter I is relatively informal and roughly parallels the first of the above papers in discussing the basic ideas of a probabilistic approach to the logic of the indicative conditional, according to which these constructions do not have truth values, but they do have probabilities (equal to conditional probabilities), and the appropriate criterion of soundness for inferences involving them is that it should not be possible for all premises of the inference to be probable while the conclusion is improbable. Applying this criterion is shown to have radically different consequences from the orthodox 'material conditional' theory, not only in application to the standard 'fallacies' of the material conditional, but to many forms (e. g. , Contraposition) which have hitherto been regarded as above suspi cion. Many more applications are considered in Chapter I, as well as certain related theoretical matters. The chief of these, which is the most important new topic treated in Chapter I (i. e.




A Concise Introduction to Logic


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Topics of Thought


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This is an open access title available under the terms of a CC BY-NC-ND 4.0 International licence. It is free to read at Oxford Scholarship Online and offered as a free PDF download from OUP and selected open access locations. When one thinks--knows, believes, imagines--that something is the case, one's thought has a topic: it is about something, towards which one's mind is directed. What is the logic of thought, so understood? This book begins to explore the idea that, to answer the question, we should take topics seriously. It proposes a hyperintensional account of the propositional contents of thought, arguing that these are individuated not only by the set of possible worlds at which they are true, but also by their topic: what they are about. The book then builds epistemic, doxastic, probabilistic, and conditional logics based on this view. It applies them to issues ranging from dogmatism, scepticism, and epistemic fallibilism, to imagination and suppositional reasoning, belief revision, framing effects, and the acceptability of indicative conditionals.




Handbook of Philosophical Logic


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such questions for centuries (unrestricted by the capabilities of any hard ware). The principles governing the interaction of several processes, for example, are abstract an similar to principles governing the cooperation of two large organisation. A detailed rule based effective but rigid bureaucracy is very much similar to a complex computer program handling and manipulating data. My guess is that the principles underlying one are very much the same as those underlying the other. I believe the day is not far away in the future when the computer scientist will wake up one morning with the realisation that he is actually a kind of formal philosopher! The projected number of volumes for this Handbook is about 18. The subject has evolved and its areas have become interrelated to such an extent that it no longer makes sense to dedicate volumes to topics. However, the volumes do follow some natural groupings of chapters. I would like to thank our authors are readers for their contributions and their commitment in making this Handbook a success. Thanks also to our publication administrator Mrs J. Spurr for her usual dedication and excellence and to Kluwer Academic Publishers for their continuing support for the Handbook.




Conditionals


Book Description

A unified treatment of conditionals based on epistemological principles rather than the semantical principles in vogue over recent decades. This book by distinguished philosopher Nicholas Rescher seeks to clarify the idea of what a conditional says by elucidating the information that is normally transmitted by its utterance. The result is a unified treatment of conditionals based on epistemological principles rather than the semantical principles in vogue over recent decades. This approach, argues Rescher, makes it easier to understand how conditionals actually function in our thought and discourse. In its concern with what language theorists call pragmatics—the study of the norms and principles governing our use of language in conveying information—Conditionals steps beyond the limits of logic as traditionally understood and moves into the realm claimed by theorists of artificial intelligence as they try to simulate our actual information-processing practices. The book's treatment of counterfactuals essentially revives an epistemological approach proposed by F. P. Ramsey in the 1920s and developed by Rescher himself in the 1960s but since overshadowed by the now-dominant possible-worlds approach. Rescher argues that the increasingly evident liabilities of the possible-worlds strategy make a reappraisal of the older style of analysis both timely and desirable. As the book makes clear, an epistemological approach demonstrates that counterfactual reasoning, unlike inductive inference, is not a matter of abstract reasoning alone but one of good judgment and common sense.




Suppose and Tell


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What does 'if' mean? Timothy Williamson presents a controversial new approach to understanding conditional thinking, which is central to human cognitive life. He argues that in using 'if' we rely on psychological heuristics, fast and frugal methods which can lead us to trust faulty data and prematurely reject simple theories.




An Introduction to Probability and Inductive Logic


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An introductory 2001 textbook on probability and induction written by a foremost philosopher of science.




Topics in Constraint-Based Grammar of Japanese


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This collection of papers reports our attempt to sketch how Japanese grammar can be represented in a constraint-based formalism. Our first attempt of this nature appeared a decade ago as Japanese Phrase Structure Grammar (Gunji 1987) and in several papers following the publication of the book. This book has evolved from a technical memo that was a progress report on the Japanese phrase structure grammar (JPSG) project, which was conducted as an activity of the JPSG Working Group at ICOT (Institute for New-Generation Computing Technology) from 1984 to 1992. JPSG implements ideas from recent developments in phrase structure grammar formalism, such as head-driven phrase structure grammar (HPSG), (see Pollard & Sag 1987, 1994) as applied to the Japanese language. The main goal of this project was to state various grammatical regularities exhibited in natural language in general (and in Japanese in particular) as a set of local constraints. The book is organized in two parts. Part I gives an overview of developments in our framework after the publication of Gunji (1987), introducing our fundamental assumptions as well as discussing various aspects of Japanese in the constraint based formalism and summarizing discussions of the JPSG Working Group during the above-mentioned period. Naturally, in the period after the publication of the above book, our discussion was centered on topics not covered in the book.




A Philosophical Guide to Conditionals


Book Description

The author, one of the world's leading authorities on the subject of conditional sentences, distils many years' work and teaching into 'A Philosophical Guide to Conditionals', an authoritative treatment of the subject.