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Logic, Meaning and Computation
This volume began as a remembrance of Alonzo Church while he was still with us and is now finally complete. It contains papers by many well-known scholars, most of whom have been directly influenced by Church's own work. Often the emphasis is on foundational issues in logic, mathematics, computation, and philosophy - as was the case with Church's contributions, now universally recognized as having been of profound fundamental significance in those areas. The volume will be of interest to logicians, computer scientists, philosophers, and linguists. The contributions concern classical first-order logic, higher-order logic, non-classical theories of implication, set theories with universal sets, the logical and semantical paradoxes, the lambda-calculus, especially as it is used in computation, philosophical issues about meaning and ontology in the abstract sciences and in natural language, and much else. The material will be accessible to specialists in these areas and to advanced graduate students in the respective fields.
Propositional Attitudes
These papers treat those issues involved in formulating a logic of propositional attitudes and consider the relevance of the attitudes to the continuing study of both the philosophy of language and the philosophy of mind. C. Anthony Anderson is professor of philosophy and Joseph Owens is assistant professor of philosophy, both at the University of Minnesota.
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The Incomplete Universe
The central claim of this powerful philosophical exploration is that within any logic we have, there can be no coherent notion of all truth or of total knowledge. Grim examines a series of logical paradoxes and related formal results to reveal their implications for contemporary epistemology, metaphysics, and the philosophy of religion. He reaches the provocative conclusion that, if the universe is thought of in terms of its truths, it is essentially open and incomplete. The Incomplete Universe includes detailed work on the liar paradox and recent attempts at solution, Kaplan and Montague's paradox of the knower, the Gödel theorems and related incompleteness phenomena, and new forms of Cantorian argument. The emphasis throughout is philosophical rather than formal, with an eye to connection's with possible worlds, the notion of omniscience, and the opening lines of the Tractatus: "The world is all that is the case. "
A Priori Justification
The major divide in contemporary epistemology is between those who embrace and those who reject a priori knowledge. Albert Casullo provides a systematic treatment of the primary epistemological issues associated with the controversy. By freeing the a priori from traditional assumptions about the nature of knowledge and justification, he offers a novel approach to resolving these issues which assigns a prominent role to empirical evidence. He concludes by arguing that traditional approaches to the a priori, which focus primarily on the concepts of necessity and analyticity, are misguided.
Logic and Theism
This is a wide-ranging 2004 book about arguments for and against beliefs in God. This book will be a valuable resource for philosophers of religion and theologians and will interest logicians and mathematicians as well.
The Cambridge Companion to Bertrand Russell
Mathematics in and behind Russell's logicism, and its reception / I. Grattan-Guinness -- Russell's philosophical background / Nicholas Griffin -- Russell and Moore, 1898-1905 / Richard L. Cartwright -- Russell and Frege / Michael Beaney -- Bertrand Russell's logicism / Martin Godwyn and Andrew D. Irvine -- The theory of descriptions / Peter Hylton -- Russell's substitutional theory / Gregory Landini -- The theory of types / Alasdair Urquhart -- Russell's method of analysis / Paul Hager -- Russell's neutral monism / R.E. Tully -- The metaphysics of logical atomism / Bernard Linksy -- Russell's structuralism and the absolute description of the world / William Demopoulos -- From knowledge by acquaintance to knowledge by causation / Thomas Baldwin -- Russell, experience, and the roots of science / A.C. Grayling -- Bertrand Russell: moral philosopher or unphilosophical moralist? / Charles R. Pidgen.
