Bringing together powerful new tools from set theory and the philosophy of language, this book proposes a solution to one of the few unresolved paradoxes from antiquity, the Paradox of the Liar. Treating truth as a property of propositions, not sentences, the authors model two distinct conceptions of propositions: one based on the standard notion used by Bertrand Russell, among others, and the other based on J.L. Austin's work on truth. Comparing these two accounts, the authors show that while the Russellian conception of the relation between sentences, propositions, and truth is crucially...
Bringing together powerful new tools from set theory and the philosophy of language, this book proposes a solution to one of the few unresolved parado...
One effect of information technology is the increasing need to present information visually. The trend raises intriguing questions. What is the logical status of reasoning that employs visualization? What are the cognitive advantages and pitfalls of this reasoning? What kinds of tools can be developed to aid in the use of visual representation? This newest volume on the Studies in Logic and Computation series addresses the logical aspects of the visualization of information. The authors of these specially commissioned papers explore the properties of diagrams, charts, and maps, and...
One effect of information technology is the increasing need to present information visually. The trend raises intriguing questions. What is the logica...
Information is a central topic in computer science, cognitive science, and philosophy. In spite of its importance in the "information age," there is no consensus on what information is, what makes it possible, and what it means for one medium to carry information about another. Drawing on ideas from mathematics, computer science, and philosophy, this book addresses the definition and place of information in society. The authors, observing that information flow is possible only within a connected distribution system, provide a mathematically rigorous, philosophically sound foundation for a...
Information is a central topic in computer science, cognitive science, and philosophy. In spite of its importance in the "information age," there is n...
Circular analyses of philosophical, linguistic, or computational phenomena have been attacked on the assumption that they conflict with mathematical rigour. Barwise and Moss have undertaken to prove this assumption false. This volume is concerned with extending the modelling capabilities of set theory to provide a uniform treatment of circular phenomena. As a means of guiding the reader through the concrete examples of the theory, the authors have included many exercises and solutions: these exercises range in difficulty and ultimately stimulate the reader to come up with new results. Vicious...
Circular analyses of philosophical, linguistic, or computational phenomena have been attacked on the assumption that they conflict with mathematical r...
In this provocative book, Barwise and Perry tackle the slippery subject of 'meaning', a subject that has long vexed linguists, language philosophers, and logicians. Meaning does not exist solely within words and sentences but resides largely in the situation and the attitudes brought to it by those involved. The authors present an unusually lucid treatment of important innovations in the field of natural semantics, contending that the standard view of logic (as derived from Frege, Russell, and work in mathematics and logic) is inappropriate for many of the uses to which it has been put by...
In this provocative book, Barwise and Perry tackle the slippery subject of 'meaning', a subject that has long vexed linguists, language philosophers, ...
Information is a central topic in computer science, cognitive science, and philosophy. In spite of its importance in the "information age," there is no consensus on what information is, what makes it possible, and what it means for one medium to carry information about another. Drawing on ideas from mathematics, computer science, and philosophy, this book addresses the definition and place of information in society. The authors, observing that information flow is possible only within a connected distribution system, provide a mathematically rigorous, philosophically sound foundation for a...
Information is a central topic in computer science, cognitive science, and philosophy. In spite of its importance in the "information age," there is n...
The Logical Reasoning with Diagrams and Sentences courseware package teaches the principles of analytical reasoning and proof construction using a carefully crafted combination of textbook, desktop, and online materials. This package is sure to be an essential resource in a range of courses incorporating logical reasoning, including formal linguistics, philosophy, mathematics, and computer science. Unlike traditional formal treatments of reasoning, this package uses both graphical and sentential representations to reflect common situations in everyday reasoning where information...
The Logical Reasoning with Diagrams and Sentences courseware package teaches the principles of analytical reasoning and proof construction usin...