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The Logic Manual is a clear and concise introduction to logic for
beginning philosophy students. It offers a complete introductory
course, guiding the reader carefully through the topics in logic
that are most important for the study of philosophy. It covers
propositional and predicate logic with and without identity. It
includes an account of the semantics of these languages including
definitions of truth and satisfaction. Natural deduction is used as
a proof system. Volker Halbach introduces the essential concepts
through examples and informal explanations as well as through
abstract definitions.
The Logic Manual provides the best entry to the general abstract
way of thinking about language, logic, and semantics which is
characteristic of contemporary philosophy. Exercises, examples, and
sample examination papers are provided on an accompanying website.
On the one hand, the concept of truth is a major research subject
in analytic philosophy. On the other hand, mathematical logicians
have developed sophisticated logical theories of truth and the
paradoxes. Recent developments in logical theories of the
semantical paradoxes are highly relevant for philosophical research
on the notion of truth. And conversely, philosophical guidance is
necessary for the development of logical theories of truth and the
paradoxes. From this perspective, this volume intends to reflect
and promote deeper interaction and collaboration between
philosophers and logicians investigating the concept of truth than
has existed so far.Aside from an extended introductory overview of
recent work in the theory of truth, the volume consists of articles
by leading philosophers and logicians on subjects and debates that
are situated on the interface between logical and philosophical
theories of truth. The volume is intended for graduate students in
philosophy and in logic who want an introduction to contemporary
research in this area, as well as for professional philosophers and
logicians
At the centre of the traditional discussion of truth is the
question of how truth is defined. Recent research, especially with
the development of deflationist accounts of truth, has tended to
take truth as an undefined primitive notion governed by axioms,
while the liar paradox and cognate paradoxes pose problems for
certain seemingly natural axioms for truth. In this book, Volker
Halbach examines the most important axiomatizations of truth,
explores their properties and shows how the logical results impinge
on the philosophical topics related to truth. In particular, he
shows that the discussion on topics such as deflationism about
truth depends on the solution of the paradoxes. His book is an
invaluable survey of the logical background to the philosophical
discussion of truth, and will be indispensable reading for any
graduate or professional philosopher in theories of truth.
An exceptionally clear, concise, and affordable introduction to
logic, The Logic Manual carefully walks beginning philosophy
students through the fundamentals, offering them a real
understanding of how and why logic works. Author Volker Halbach
presents essential concepts through examples, informal
explanations, and abstract definitions. Topics covered include
propositional and predicate logic (with and without identity) and
an account of the semantics of these languages, including
definitions of truth and satisfaction. In addition, natural
deduction is used as a proof system.
Extensively class-tested, The Logic Manual provides the best
introduction available to the general, abstract approach to
thinking about language, logic, and semantics that is
characteristic of contemporary philosophy. A Companion Website
provides exercises, examples, and sample examination papers.
On the one hand, the concept of truth is a major research subject
in analytic philosophy. On the other hand, mathematical logicians
have developed sophisticated logical theories of truth and the
paradoxes. Recent developments in logical theories of the
semantical paradoxes are highly relevant for philosophical research
on the notion of truth. And conversely, philosophical guidance is
necessary for the development of logical theories of truth and the
paradoxes. From this perspective, this volume intends to reflect
and promote deeper interaction and collaboration between
philosophers and logicians investigating the concept of truth than
has existed so far.Aside from an extended introductory overview of
recent work in the theory of truth, the volume consists of articles
by leading philosophers and logicians on subjects and debates that
are situated on the interface between logical and philosophical
theories of truth. The volume is intended for graduate students in
philosophy and in logic who want an introduction to contemporary
research in this area, as well as for professional philosophers and
logicians
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