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Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic
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Logic - Inquiry, Argument, and Order (Paperback)
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Logic - Inquiry, Argument, and Order (Paperback)
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An enlightening introduction to the study of logic: its history,
philosophical foundations, and formal structures Logic: Inquiry,
Argument, and Order is the first book of its kind to frame the
study of introductory logic in terms of problems connected to wider
issues of knowledge and judgment that arise in the context of
racial, cultural, and religious diversity. With its accessible
style and integration of philosophical inquiry and real-life
concerns, this book offers a novel approach to the theory of logic
and its relevance to questions of meaning and value that arise in
the world around us. The book poses four problems for logic: Is
logic separate from experience? Does logic require dualisms? Can
logic reconcile opposed ways of understanding the world? And when
things are divided, does the boundary have a logic? The author
begins the exploration of these questions with a discussion of the
process of analyzing and constructing arguments. Using the logical
theories of C. S. Peirce, John Dewey, and Josiah Royce to frame the
investigation, subsequent chapters outline the process of inquiry,
the concept of communicative action, the nature of validity,
categorical reasoning through the theory of the syllogism, and
inductive reasoning and probability. The book concludes with a
presentation of modal logic, propositional logic, and
quantification. Logic is presented as emerging from the activities
of inquiry and communication, allowing readers to understand even
the most difficult aspects of formal logic as straightforward
developments of the process of anticipating and taking action.
Numerous practice problems use arguments related to issues of
diversity and social theory, and the book introduces methods of
proving validity that include Venn diagrams, natural deduction, and
the method of tableaux. Logic: Inquiry, Argument, and Order is an
ideal book for courses on philosophical methods and critical
reasoning at the upper-undergraduate and graduate levels. It is
also an insightful reference for anyone who would like to explore a
cross-cultural approach to the topic of logic.
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