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Objects, Structures, and Logics
This edited collection casts light on central issues within contemporary philosophy of mathematics such as the realism/anti-realism dispute; the relationship between logic and metaphysics; and the question of whether mathematics is a science of objects or structures. The discussions offered in the papers involve an in-depth investigation of, among other things, the notions of mathematical truth, proof, and grounding; and, often, a special emphasis is placed on considerations relating to mathematical practice. A distinguishing feature of the book is the multicultural nature of the community that has produced it. Philosophers, logicians, and mathematicians have all contributed high-quality articles which will prove valuable to researchers and students alike.
Vagueness and Thought
"Vagueness is the study of concepts that admit borderline cases. The epistemology of vagueness concerns attitudes we should have towards propositions we know to be borderline. On this basis Andrew Bacon develops a new theory of vagueness in which vagueness is fundamentally a property of propositions, explicated in terms of its role in thought."--
Truth in Mathematics
The nature of truth in mathematics has exercised the minds of thinkers from at least the time of the ancient Greeks. The great advances in mathematics and philosophy in the twentieth century and in particular the work by G]odel and the development of the notion of independence in mathematics have led to new and complex views on this question. Collecting the work of a number of outstanding mathematicians and philosophers, including Yurii Manin, Vaughan Jones, and Per Martin-L]of, this volume provides an overview of the forefront of current thinking and a valuable introduction for researchers in the area.
Truth and Consequences
Contemporary literary theory takes truth and meaning to be dependent on shared conventions in a community of discourse and views authors' intentions as irrelevant to interpretation. This view, argues Reed Way Dasenbrock, owes much to Anglo-American analytic philosophy as developed in the 1950s and 1960s by such thinkers as Austin and Kuhn, but it ignores more recent work by philosophers like Davidson and Putnam, who have mounted a counterattack on this earlier conventionalism. This book draws on current analytic philosophy to resuscitate the notion of objective truth and intentionalist models of meaning and interpretation, thereby moving beyond the antifoundationalism of postmodern theory. I...
Points of View
A. W. Moore argues in this bold and ambitious book that it is possible to think about the world 'from no point of view'. He examines this idea, explains its significance, and considers reasons for thinking that such a thing is not possible. In particular, drawing on the work of Kant andWittgenstein, he considers transcendental idealism. This leads to the heart of his project: a study of ineffability and nonsense. His fundamental idea is that transcendental idealism is nonsense resulting from the attempt to express certain inexpressible insights. This idea is applied to a widerange of fundamental philosophical issues, including the nature of persons, the subject-matter of mathematics, anti-realism, value, and God; Moores original approach forges unexpected connections between the various questions he addresses. Points of View is a lucid and lively study of the relationbetween reality and our representations of it, the upshot of which is a powerful critique of our own finitude.
Alfred Tarski and the Vienna Circle
The larger part of Yearbook 6 of the Institute Vienna Circle constitutes the proceedings of a symposium on Alfred Tarski and his influence on and interchanges with the Vienna Circle, especially those on and with Rudolf Carnap and Kurt Gödel. It is the first time that this topic has been treated on such a scale and in such depth. Attention is mainly paid to the origins, development and subsequent role of Tarski's definition of truth. Some contributions are primarily historical, others analyze logical aspects of the concept of truth. Contributors include Anita and Saul Feferman, Jan Wolenski, Jan Tarski and Hans Sluga. Several Polish logicians contributed: Gzegorczyk, Wójcicki, Murawski and ...
Wittgenstein’s Enduring Arguments
What is the enduring legacy of Wittgenstein's philosophy? With chapters by leading Wittgenstein scholars, this examines the place of Wittgenstein's philosophy in Twentieth century European philosophy.
The Human a Priori
The Human A Priori is a collection of essays by A.W. Moore, one of them previously unpublished and the rest all revised. These essays are all concerned, more or less directly, with something ineliminably anthropocentric in our systematic pursuit of a priori sense-making. Part I deals with the nature, scope, and limits of a priori sense-making in general. Parts II, III, and IV deal with what are often thought to be the three great exemplars of the systematic pursuit of such sense-making: philosophy in the case of Part II, ethics in the case of Part III, and mathematics in the case of Part IV. Much of the attention throughout is devoted to the work of other philosophers: Kant and Wittgenstein ...
Morality and Mathematics
Are there moral facts? Are there mathematical facts? Many say yes to the latter but no to the former. Justin Clarke-Doane argues that the situation is much more subtle: although there are no real moral facts, morality is objective in a paradigmatic respect. Conversely, while there are real mathematical facts, mathematics fails to be objective.
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