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This research text addresses the logical aspects of the visualization of information with papers especially commissioned for this book. The authors explore the logical properties of diagrams, charts, maps, and the like, and their use in problem solving and in teaching basic reasoning skills. As computers make visual presentations of information even more commonplace,it becomes increasingly important for the research community to develop an understanding of such tools.
This textbook/software package covers first-order language in a
method appropriate for a wide range of courses, from first logic
courses for undergraduates (philosophy, mathematics, and computer
science) to a first graduate logic course. The accompanying online
grading service instantly grades solutions to hundreds of computer
exercises. The second edition of "Language, Proof and Logic"
represents a major expansion and revision of the original package
and includes applications for mobile devices, additional exercises,
a dedicated website, and increased software compatibility and
support.
Since their inception, the Perspectives in Logic and Lecture Notes
in Logic series have published seminal works by leading logicians.
Many of the original books in the series have been unavailable for
years, but they are now in print once again. Admissible set theory
is a major source of interaction between model theory, recursion
theory and set theory, and plays an important role in definability
theory. In this volume, the seventh publication in the Perspectives
in Logic series, Jon Barwise presents the basic facts about
admissible sets and admissible ordinals in a way that makes them
accessible to logic students and specialists alike. It fills the
artificial gap between model theory and recursion theory and covers
everything the logician should know about admissible sets.
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 science of information. They illustrate their theory by applying it to a wide range of phenomena, from file transfer to DNA, from quantum mechanics to speech act theory.
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 science of information. They
illustrate their theory by applying it to a wide range of
phenomena, from file transfer to DNA, from quantum mechanics to
speech act theory.
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 flawed in limiting cases, the Austinian perspective has
fruitful applications to the analysis of semantic paradox. In the
course of their study of a language admitting circular reference
and containing its own truth predicate, Barwise and Etchemendy also
develop a wide range of model-theoretic techniques--based on a new
set-theoretic tool, Peter Aczel's theory of hypersets--that open up
new avenues in logical and formal semantics.
Situation Theory and situation semantics are recent approaches to
language and information, approaches first formulated by Jon
Barwise and John Perry in Situations and Attitudes (1983). The
present volume collects some of Barwise's papers written since
then, those directly concerned with relations among logic,
situation theory, and situation semantics. Several papers appear
here for the first time.
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