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The forms and scope of logic rest on assumptions of how language
and reasoning connect to experience. In this volume an analysis of
meaning and truth provides a foundation for studying modern
propositional and predicate logics. Chapters on propositional
logic, parsing propositions, and meaning, truth and reference give
a basis for criteria that can be used to judge formalizations of
ordinary language arguments. Over 120 worked examples of
formalizations of propositions and arguments illustrate the scope
and limitations of modern logic, as analyzed in chapters on
identity, quantifiers, descriptive names, functions, and
second-order logic. The chapter on second-order logic illustrates
how different conceptions of predicates and propositions do not
lead to a common basis for quantification over predicates, as they
do for quantification over things. Notable for its clarity of
presentation, and supplemented by many exercises, this volume is
suitable for philosophers, linguists, mathematicians, and computer
scientists who wish to better understand the tools they use in
formalizing reasoning.
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