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Wolff's book defends the Kantian idea of a "general logic" whose principles underlie special systems of deductive logic. It thus undermines "logical pluralism," which tolerates the co-existence of divergent systems of modern logic without asking for consistent common principles. Part I of Wolff’s book identifies the formal language in which the most general principles of logic must be expressed. This language turns out to be a version of syllogistic language already used by Aristotle. The universal validity of logical principles, as well as the translatability of other logical languages into this language, are shown to depend only on the meanings of its logical vocabulary. Part II of the book answers the metalogical question concerning the deductive relation between general logic and special logical systems, which also have their own (less general) principles. This part identifies the rules according to which logical rules can be derived from principles. The main result of the book is that the highest principles of logic and metalogics are provided by the syllogistic, when properly understood.
Rule-applying legal arguments are traditionally treated as a kind of syllogism. Such a treatment overlooks the fact that legal principles and rules are not statements which describe the world, but rather means by which humans impose structure on the world. Legal rules create legal consequences, they do not describe them. This has consequences for the logic of rule- and principle-applying arguments, the most important of which may be that such arguments are defeasible. This book offers an extensive analysis of the role of rules and principles in legal reasoning, which focuses on the close relationship between rules, principles, and reasons. Moreover, it describes a logical theory which assigns a central place to the notion of reasons for and against a conclusion, and which is especially suited to deal with rules and principles.
Classical logic has been attacked by adherents of rival, anti-realist logical systems: Ian Rumfitt comes to its defence. He considers the nature of logic, and how to arbitrate between different logics. He argues that classical logic may dispense with the principle of bivalence, and may thus be liberated from the dead hand of classical semantics.
The Unprovability of Consistency is concerned with connections between two branches of logic: proof theory and modal logic. Modal logic is the study of the principles that govern the concepts of necessity and possibility; proof theory is, in part, the study of those that govern provability and consistency. In this book, George Boolos looks at the principles of provability from the standpoint of modal logic. In doing so, he provides two perspectives on a debate in modal logic that has persisted for at least thirty years between the followers of C. I. Lewis and W. V. O. Quine. The author employs semantic methods developed by Saul Kripke in his analysis of modal logical systems. The book will be of interest to advanced undergraduate and graduate students in logic, mathematics and philosophy, as well as to specialists in those fields.
"...White presents a critical analysis of Jacques Derrida's thinking on formal logic derived from Derrida's seminal article on James Joyce's Ulysses..." -- Back cover.
This book reveals that the mind automatically sorts information into distinctive pyramidal groupings. However, if any group of ideas are arranged into a pyramid structure in the first place, not only will it save valuable time and effort to write, it will take even less effort to read and comprehend it
Publisher Description
Uncover the truth under all the BS In the daily battle for our hearts and minds--not to mention our hard-earned cash--the truth is usually the first casualty. It's time we learned how to see through the rhetoric, faulty reasoning, and misinformation that we're subjected to from morning to night by talk-radio hosts, op-ed columnists, advertisers, self-help gurus, business "thinkers," and, of course, politicians. And no one is better equipped to show us how than award-winning philosopher Jamie Whyte. In Crimes Against Logic Whyte take us on a fast-paced, ruthlessly funny romp through the mulligan stew of can, folderol, and bogus logic served up in the media, at the office, and even in your own home. Applying his laserlike wit to dozens of timely examples, Whyte cuts through the haze of facts, figures, and double-talk and gets at the real truth behind what they're telling us. "An incisive philosopher." --Sunday Telegraph
Bob Hale presents a broadly Fregean approach to metaphysics, according to which ontology and modality are mutually dependent upon one another. He argues that facts about what kinds of things exist depend on facts about what is possible. Modal facts are fundamental, and have their basis in the essences of things—not in meanings or concepts.