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Originally published in 1967. An introduction to the literature of
nonstandard logic, in particular to those nonstandard logics known
as many-valued logics. Part I expounds and discusses implicational
calculi, modal logics and many-valued logics and their associated
calculi. Part II considers the detailed development of various
many-valued calculi, and some of the important metathereoms which
have been proved for them. Applications of the calculi to problems
in the philosophy are also surveyed. This work combines criticism
with exposition to form a comprehensive but concise survey of the
field.
Originally published in 1966. An introduction to current studies of
kinds of inference in which validity cannot be determined by
ordinary deductive models. In particular, inductive inference,
predictive inference, statistical inference, and decision making
are examined in some detail. The last chapter discusses the
relationship of these forms of inference to philosophical notions
of rationality. Special features of the monograph include a
discussion of the legitimacy of various criteria for successful
predictive inference, the development of an intuitive model which
exhibits the difficulties of choosing probability measures over
infinite sets, and a comparison of rival views on the foundations
of probability in terms of the amount of information which the
members of these schools believe suitable for fruitful
formalization. The bibliographies include articles by statisticians
accessible to students of symbolic logic.
Originally published in 1966. An introduction to current studies of
kinds of inference in which validity cannot be determined by
ordinary deductive models. In particular, inductive inference,
predictive inference, statistical inference, and decision making
are examined in some detail. The last chapter discusses the
relationship of these forms of inference to philosophical notions
of rationality. Special features of the monograph include a
discussion of the legitimacy of various criteria for successful
predictive inference, the development of an intuitive model which
exhibits the difficulties of choosing probability measures over
infinite sets, and a comparison of rival views on the foundations
of probability in terms of the amount of information which the
members of these schools believe suitable for fruitful
formalization. The bibliographies include articles by statisticians
accessible to students of symbolic logic.
Originally published in 1967. An introduction to the literature of
nonstandard logic, in particular to those nonstandard logics known
as many-valued logics. Part I expounds and discusses implicational
calculi, modal logics and many-valued logics and their associated
calculi. Part II considers the detailed development of various
many-valued calculi, and some of the important metathereoms which
have been proved for them. Applications of the calculi to problems
in the philosophy are also surveyed. This work combines criticism
with exposition to form a comprehensive but concise survey of the
field.
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