Nominalism About Properties

Nominalism, which has its origins in the Middle Ages and continues into the Twenty-First Century, is the doctrine that there are no universals. This book is unique in bringing together essays on the history of nominalism and essays that present a systematic discussion of nominalism. It introduces the reader to the distinction between particulars and universals, to the difficulties posed by this distinction, and to the main motivations for the rejection of universals. It also describes the main varieties of nominalism about properties and provides tools to understand how they developed in the history of Western Philosophy. All essays are new and are written by experts on the topic, and they advance the discussion about nominalism to a new level.

Gardeners, poets, lovers, and philosophers are all interested in the redness of roses; but only philosophers wonder how it is that two different roses can share the same property. Are red things red because they resemble each other? Or do they resemble each other because they are red? Since the 1970s philosophers have tended to favour the latter view, and held that a satisfactory account of properties must involve the postulation of either universals or tropes. But Gonzalo Rodriguez-Pereyra revives the dormant alternative theory of resemblance nominalism, showing first that it can withstand the attacks of such eminent opponents as Goodman and Armstrong, and then that there are reasons to prefer it to its rival theories. The clarity and rigour of his arguments will challenge metaphysicians to rethink their views on properties.

First published in 1999. Routledge is an imprint of Taylor & Francis, an informa company.

If we take mathematical statements to be true, must we also believe in the existence of abstract invisible mathematical objects? This text claims that the way to escape such a commitment is to accept true statements which are about objects that don't exist in any sense at all.

Things are particulars and their qualities are universals, but do universals have an existence distinct from the particular things describable by those terms? And what must be their nature if they do? This book provides a careful and assured survey of the central issues of debate surrounding universals, in particular those issues that have been a crucial part of the emergence of contemporary analytic ontology. The book begins with a taxonomy of extreme nominalist, moderate nominalist, and realist positions on properties, and outlines the way each handles the phenomena of predication, resemblance, and abstract reference. The debate about properties and philosophical naturalism is also examined. Different forms of extreme nominalism, moderate nominalism, and minimalist realism are critiqued. Later chapters defend a traditional realist view of universals and examine the objections to realism from various infinite regresses, the difficulties in stating identity conditions for properties, and problems with realist accounts of knowledge of abstract objects. In addition, the debate between Platonists and Aristotelians is examined alongside a discussion of the relationship between properties and an adequate theory of existence. The book's final chapter explores the problem of individuating particulars. The book makes accessible a difficult topic without blunting the sophistication of argument required by a more advanced readership.

Charles Peirce, the founder of pragmatism, was a thinker of extraordinary depth and range - he wrote on philosophy, mathematics, psychology, physics, logic, phenomenology, semiotics, religion and ethics - but his writings are difficult and fragmentary. This book provides a clear and comprehensive explanation of Peirce's thought. His philosophy is presented as a systematic response to 'nominalism', the philosophy which he most despised and which he regarded as the underpinning of the dominant philosophical worldview of his time. The book explains Peirce's challenge to nominalism as a theory of meaning and shows its implications for his views of knowledge, truth, the nature of reality, and ethics. It will be essential reading both for Peirce scholars and for those new to his work.

This monograph details a new solution to an old problem of metaphysics. It presents an improved version of Ostrich Nominalism to solve the Problem of Universals. This innovative approach allows one to resolve the different formulations of the Problem, which represents an important meta-metaphysical achievement. In order to accomplish this ambitious task, the author appeals to the notion and logic of ontological grounding. Instead of defending Quine’s original principle of ontological commitment, he proposes the principle of grounded ontological commitment. This represents an entirely new application of grounding. Some metaphysicians regard Ostrich Nominalism as a rejection of the problem rather than a proper solution to it. To counter this, the author presents solutions for each of the formulations. These include: the problem of predication, the problem of abstract reference, and the One Over Many as well as the Many Over One and the Similar but Different variants. This book will appeal to anyone interested in contemporary metaphysics. It will also serve as an ideal resource to scholars working on the history of philosophy. Many will recognize in the solution insights resembling those of traditional philosophers, especially of the Middle Ages.

Articulates and defends a novel theory of properties and propositions, based on Frege's insight that properties are not objects.

This is a study, in two volumes, of one of the longest-standing philosophical problems: the problem of universals. In volume I David Armstrong surveys and criticizes the main approaches and solutions to the problems that have been canvassed, rejecting the various forms of nominalism and 'Platonic' realism. In volume II he develops an important theory of his own, an objective theory of universals based not on linguistic conventions, but on the actual and potential findings of natural science. He thus reconciles a realism about qualities and relations with an empiricist epistemology. The theory allows, too, for a convincing explanation of natural laws as relations between these universals.