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Books > Humanities > Philosophy > Western philosophy > Modern Western philosophy, c 1600 to the present > Western philosophy, from c 1900 - > Analytical & linguistic philosophy
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Plural Logic - Second Edition, Revised and Enlarged (Paperback, 2nd Revised edition)
Loot Price: R1,193
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Plural Logic - Second Edition, Revised and Enlarged (Paperback, 2nd Revised edition)
Expected to ship within 12 - 19 working days
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Alex Oliver and Timothy Smiley provide a natural point of entry to
what for most readers will be a new subject. Plural logic deals
with plural terms ('Whitehead and Russell', 'Henry VIII's wives',
'the real numbers', 'the square root of -1', 'they'), plural
predicates ('surrounded the fort', 'are prime', 'are consistent',
'imply'), and plural quantification ('some things', 'any things').
Current logic is singularist: its terms stand for at most one
thing. By contrast, the foundational thesis of this book is that a
particular term may legitimately stand for several things at once;
in other words, there is such a thing as genuinely plural
denotation. The authors argue that plural phenomena need to be
taken seriously and that the only viable response is to adopt a
plural logic, a logic based on plural denotation. They expound a
framework of ideas that includes the distinction between
distributive and collective predicates, the theory of plural
descriptions, multivalued functions, and lists. A formal system of
plural logic is presented in three stages, before being applied to
Cantorian set theory as an illustration. Technicalities have been
kept to a minimum, and anyone who is familiar with the classical
predicate calculus should be able to follow it. The authors'
approach is an attractive blend of no-nonsense argumentative
directness and open-minded liberalism, and they convey the exciting
and unexpected richness of their subject. Mathematicians and
linguists, as well as logicians and philosophers, will find
surprises in this book. This second edition includes a greatly
expanded treatment of the paradigm empty term zilch, a much
strengthened treatment of Cantorian set theory, and a new chapter
on higher-level plural logic.
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