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This book presents the state of the art in the fields of formal
logic pioneered by Graham Priest. It includes advanced technical
work on the model and proof theories of paraconsistent logic, in
contributions from top scholars in the field. Graham Priest's
research has had a considerable influence on the field of
philosophical logic, especially with respect to the themes of
dialetheism-the thesis that there exist true but inconsistent
sentences-and paraconsistency-an account of deduction in which
contradictory premises do not entail the truth of arbitrary
sentences. Priest's work has regularly challenged researchers to
reappraise many assumptions about rationality, ontology, and truth.
This book collects original research by some of the most esteemed
scholars working in philosophical logic, whose contributions
explore and appraise Priest's work on logical approaches to
problems in philosophy, linguistics, computation, and mathematics.
They provide fresh analyses, critiques, and applications of
Priest's work and attest to its continued relevance and topicality.
The book also includes Priest's responses to the contributors,
providing a further layer to the development of these themes .
This book aids in the rehabilitation of the wrongfully deprecated
work of William Parry, and is the only full-length investigation
into Parry-type propositional logics. A central tenet of the
monograph is that the sheer diversity of the contexts in which the
mereological analogy emerges - its effervescence with respect to
fields ranging from metaphysics to computer programming - provides
compelling evidence that the study of logics of analytic
implication can be instrumental in identifying connections between
topics that would otherwise remain hidden. More concretely, the
book identifies and discusses a host of cases in which analytic
implication can play an important role in revealing distinct
problems to be facets of a larger, cross-disciplinary problem. It
introduces an element of constancy and cohesion that has previously
been absent in a regrettably fractured field, shoring up those who
are sympathetic to the worth of mereological analogy. Moreover, it
generates new interest in the field by illustrating a wide range of
interesting features present in such logics - and highlighting
these features to appeal to researchers in many fields.
This book presents the state of the art in the fields of formal
logic pioneered by Graham Priest. It includes advanced technical
work on the model and proof theories of paraconsistent logic, in
contributions from top scholars in the field. Graham Priest's
research has had a considerable influence on the field of
philosophical logic, especially with respect to the themes of
dialetheism-the thesis that there exist true but inconsistent
sentences-and paraconsistency-an account of deduction in which
contradictory premises do not entail the truth of arbitrary
sentences. Priest's work has regularly challenged researchers to
reappraise many assumptions about rationality, ontology, and truth.
This book collects original research by some of the most esteemed
scholars working in philosophical logic, whose contributions
explore and appraise Priest's work on logical approaches to
problems in philosophy, linguistics, computation, and mathematics.
They provide fresh analyses, critiques, and applications of
Priest's work and attest to its continued relevance and topicality.
The book also includes Priest's responses to the contributors,
providing a further layer to the development of these themes .
This book aids in the rehabilitation of the wrongfully deprecated
work of William Parry, and is the only full-length investigation
into Parry-type propositional logics. A central tenet of the
monograph is that the sheer diversity of the contexts in which the
mereological analogy emerges - its effervescence with respect to
fields ranging from metaphysics to computer programming - provides
compelling evidence that the study of logics of analytic
implication can be instrumental in identifying connections between
topics that would otherwise remain hidden. More concretely, the
book identifies and discusses a host of cases in which analytic
implication can play an important role in revealing distinct
problems to be facets of a larger, cross-disciplinary problem. It
introduces an element of constancy and cohesion that has previously
been absent in a regrettably fractured field, shoring up those who
are sympathetic to the worth of mereological analogy. Moreover, it
generates new interest in the field by illustrating a wide range of
interesting features present in such logics - and highlighting
these features to appeal to researchers in many fields.
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