Plural predication is a pervasive part of ordinary language. We can say that some people are fifty in number, are surrounding a building, come from many countries, and are classmates. These predicates can be true of some people without being true of any one of them; they are non-distributive predications. However, the apparatus of modern logic does not allow a place for them. Thomas McKay here explores the enrichment of logic with non-distributive plural predication and quantification. His book will be (...) of great interest to philosophers of language, linguists, metaphysicians, and logicians. (shrink)

Logicism is, roughly speaking, the doctrine that mathematics is fancy logic. So getting clear about the nature of logic is a necessary step in an assessment of logicism. Logic is the study of logical concepts, how they are expressed in languages, their semantic values, and the relationships between these things and the rest of our concepts, linguistic expressions, and their semantic values. A logical concept is what can be expressed by a logical constant in a language. So the question “What (...) is logic?” drives us to the question “What is a logical constant?” Though what follows contains some argument, limitations of space constrain me in large part to express my Credo on this topic with the broad brush of bold assertion and some promissory gestures. (shrink)

Philosophers from Hume, Kant, and Wittgenstein to the recent realists and antirealists have sought to answer the question, What are concepts? This book provides a detailed, systematic, and accessible introduction to an original philosophical theory of concepts that Christopher Peacocke has developed in recent years to explain facts about the nature of thought, including its systematic character, its relations to truth and reference, and its normative dimension. Particular concepts are also treated within the general framework: perceptual concepts, logical concepts, and (...) the concept of belief are discussed in detail. The general theory is further applied in answering the question of how the ontology of concepts can be of use in classifying mental states, and in discussing the proper relation between philosophical and psychological theories of concepts. Finally, the theory of concepts is used to motivate a nonverificationist theory of the limits of intelligible thought. Peacocke treats content as broad rather than narrow, and his account is nonreductive and non-Quinean. Yet Peacocke also argues for an interactive relationship between philosophical and psychological theories of concepts, and he plots many connections with work in cognitive psychology. (shrink)

There are issues in the theory of concepts about which A Study of Concepts could have said more. There are also some issues about which it would have done well to say something different. The commentators in this symposium have successfully identified a series of issues of one or other of these two kinds, and I am very grateful for their thought and detailed attention. I have learned from reflection on their comments, and I take this opportunity to try to (...) carry the discussion forward by addressing a range issues underdeveloped in A Study of Concepts. Georges Rey raises global questions about the project of SoC. Answerability, Quinean challenges and the relations between my approach and covariation or ‘locking’ theories are amongst the problems he raises. The comments of David Papineau are at an intermediate level of generality. He poses questions about the subject-matter of a theory of concepts, and rejects my critique of teleological theories of content. He is also dissatisfied with my account of the relations between actual thought and the normative properties of concepts. I will consider that issue at some length. Jane Heal considers my elaboration of the approach for a specific concept, that of belief. I will take the topics in that order. (shrink)