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Conceptions of Set and the Foundations of Mathematics
Presents a detailed and critical examination of the available conceptions of set and proposes a novel version.
Defending the Axioms
Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. The axioms of set theory have long played this role, so the question of how they are properly judged is of central importance. Maddy discusses the appropriate methods for such evaluations and the philosophical backdrop that makes them appropriate.
Everything, More Or Less
Almost no systematic theorizing is generality-free. Scientists test general hypotheses; set theorists prove theorems about every set; metaphysicians espouse theses about all things of any kind. But do we ever succeed in theorizing about absolutely everything? Not according to generality relativism, which J.P. Studd defends in this book.
Oxford Studies in Metaethics Volume 16
Oxford Studies in Metaethics is the only publication devoted exclusively to original philosophical work in the foundations of ethics. It provides an annual selection of much of the best new scholarship being done in the field. Its broad purview includes work being done at the intersections of ethical theory with metaphysics, epistemology, philosophy of language, and philosophy of mind. The essays included in the series provide an excellent basis for understanding recent developments in the field; those who would like to acquaint themselves with the current state of play in metaethics would do well to start here. Topics explored in Volume 16 include moral worth, moral testimony, moral evaluation, expressivism, reasons, and normativity.
Causation and Free Will
Carolina Sartorio argues that only the actual causes of our behaviour matter to our freedom. Although this simple view of freedom clashes with most theories of responsibility, including the most prominent "actual sequence" theories currently on offer, Sartorio argues for its truth. The key,she claims, lies in a correct understanding of the role played by causation in a view of that kind. Causation has some important features that make it a responsibility-grounding relation, and this contributes to the success of the view. Also, when agents act freely, the actual causes are richer thanthey appear to be at first sight; in particular, they reflect the agents' sensitivity to reasons, where this includes both the existence of actual reasons and the absence of other (counterfactual) reasons. So acting freely requires more causes and quite complex causes, as opposed to fewer causes andsimpler causes, and is compatible with those causes being deterministic.The book connects two different debates, the one on causation and the one on the problem of free will, in new and illuminating ways.
The Taming of the True
The Taming of the True defends and develops global semantic anti-realism. Neil Tennant argues compellingly that every truth is knowable, and that manifestationism in the theory of meaning entails logical reform. He extends semantic anti-realism to empirical discourse, developing new accounts of the analytic/synthetic distinction, cognitive significance and constructive falsifiability. The book has important consequences for the philosophy of mathematics and logic, the theory of meaning, metaphysics, and epistemology.
The Facts in Logical Space
Philosophers have long been tempted by the idea that objects and properties are abstractions from the facts. But how is this abstraction supposed to go? If the objects and properties aren't 'already' there, how do the facts give rise to them? Jason Turner develops and defends a novel answer to this question: The facts are arranged in a quasi-geometric 'logical space', and objects and properties arise from different quasi-geometric structures in this space.
The Semantic Conception of Logic
This collection of new essays presents cutting-edge research on the semantic conception of logic, the invariance criteria of logicality, grammaticality, and logical truth. Contributors explore the history of the semantic tradition, starting with Tarski, and its historical applications, while central criticisms of the tradition, and especially the use of invariance criteria to explain logicality, are revisited by the original participants in that debate. Other essays discuss more recent criticism of the approach, and researchers from mathematics and linguistics weigh in on the role of the semantic tradition in their disciplines. This book will be invaluable to philosophers and logicians alike.
The Logical Basis of Metaphysics
This performance of the Richard Strauss opera Arabella with the Orchestra of the Vienna State Opera features vocalists such as Emily Magee, Genia Kuhmeier, and Tomasz Konieczny in the leading roles. ~ Cammila Collar, Rovi
The Reference Book
How do language and thought connect to things in the world? John Hawthorne and David Manley offer an original and ambitious treatment of the semantic phenomenon of reference and the cognitive phenomenon of singular thought, leading to a new unified account of definite and indefinite descriptions, names, and demonstratives.
