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Towards Mathematical Philosophy - Papers from the Studia Logica conference Trends in Logic IV (Hardcover, 2009 ed.)
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Towards Mathematical Philosophy - Papers from the Studia Logica conference Trends in Logic IV (Hardcover, 2009 ed.)
Series: Trends in Logic, 28
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area and in applications to linguistics, formal epistemology, and
the study of norms. The second contains papers on non-classical and
many-valued logics, with an eye on applications in computer science
and through it to engineering. The third concerns the logic of
belief management, whichis likewise closely connected with recent
work in computer science but also links directly with epistemology,
the philosophy of science, the study of legal and other normative
systems, and cognitive science. The grouping is of course rough,
for there are contributions to the volume that lie astride a
boundary; at least one of them is relevant, from a very abstract
perspective, to all three areas. We say a few words about each of
the individual chapters, to relate them to each other and the
general outlook of the volume. Modal Logics The ?rst bundle of
papers in this volume contains contribution to modal logic. Three
of them examine general problems that arise for all kinds of modal
logics. The ?rst paper is essentially semantical in its approach,
the second proof-theoretic, the third semantical again:
Commutativity of quanti?ers in varying-domain Kripke models, by R.
Goldblatt and I. Hodkinson, investigates the possibility of com-
tation (i.e. reversing the order) for quanti?ers in ?rst-order
modal logics interpreted over relational models with varying
domains. The authors study a possible-worlds style structural model
theory that does not v- idate commutation, but satis?es all the
axioms originally presented by Kripke for his familiar semantics
for ?rst-order modal logic."
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