Online research in philosophy

Department of History and Philosophy of Science. University of Cambridge, Free School Lane, Cambridge CB2 3RH This paper is concerned with the question of whether atomic particles of the same species, i. e. with the same intrinsic state-independent properties of mass, spin, electric charge, etc, violate the Leibnizian Principle of the Identity of Indiscernibles, in the sense that, while there is more than one of them, their state-dependent properties may also all be the same. The answer depends on what exactly (...) the state-dependent properties of atomic particles are taken to be. On the plausible interpretation that these should comprise all monadic and relational properties that can be expressed in terms of physical magnitudes associated with self-adjoint operators that can be defined for the individual particles, then the weakest form of the Principle is shown to be violated for bosons, fermions and higher-order paraparticles, treated in first quantization *Some of the arguments inn this paper appeared in a thesis submited by one of us (S.F.) In partial fulfilment of the requirements for the PhD degree of the University of London, in 1984. entitled 'Identity and ‘Individuality in Classical and Quantum Physics’. (shrink)

Quine was born on June 25, 1908 in Akron Ohio. From 1926 to 1930 he attended Oberlin College, from which he graduated with a B.A. in mathematics that included reading in mathematical philosophy. He received his PhD from Harvard in 1932 with a dissertation on Principia Mathematica advised by Whitehead. The next year traveling on fellowship in Europe, where he interacted with Carnap, Tarski, Lesniewski, Lukasiewicz, Schlick, Hahn, Reichenbach, Gödel, and Ayer. He was back in Cambridge between 1933 and (...) 1936 as a Junior Fellow at the Harvard Society. In 1936, he joined the Harvard faculty, where he remained for 42 years, except for 3 years in the Navy in World War II. Returning after the war, he was promoted to Professor in 1948. Although he retired in 1978, he retained his office and remained active through much of the 1990s. Quine died on Christmas Day 2000. (shrink)

Keith Donnellan (1931 – ) began his studies at the University of Maryland, and earned his Bachelor’s degree from Cornell University. He stayed on at Cornell, earning a Master’s and a PhD in 1961. He also taught at there for several years before moving to UCLA in 1970, where he is currently Emeritus Professor of Philosophy. Donnellan’s work is mainly in the philosophy of language, with an emphasis on the connections between semantics and pragmatics. His most influential work was his (...) 1966 paper “Reference and Definite Descriptions”. In this paper, he challenges the canonical view, due to Bertrand Russell, about definite descriptions. Russell had argued that the proper semantic treatment of a definite description such as “the present king of France” was quantificational. Thus, a sentence like “the present king of France is bald” should be analyzed as “There exists one and only one entity x that is the present king of France, and x is bald”. Donnellan argues that in natural languages, there are actually two different kinds of uses of definite descriptions. Russell’s analysis picks out the “attributive” use of definite descriptions. When we use a definite description (“the F”) this way, we mean to make statements about the unique entity x that is F. However, Donnellan notes that we also sometimes use definite descriptions “referentially” to pick out a given entity and say something about it. To see this, imagine you are at a party where virtually everyone is drinking beer. However, you and your friend are observing a man in a corner of the room holding a martini glass. Unbeknownst to you, the man’s glass is filled with water. You turn to your friend and ask, “who is the man drinking a martini?” Suppose further that your friend knows that the man in question is Fred and that Fred’s glass is filled with water. According to the Russellian attributive analysis, such a question would amount to asking for the identity of the one and only one man drinking a martini. But the presupposition that there is a man drinking a martini is false, and so there should be no answer to the question.. (shrink)

With the rise of multiple geometries in the nineteenth century, and in the last century the rise of abstract algebra, of the axiomatic method, the set-theoretic foundations of mathematics, and the influential work of the Bourbaki, certain views called “structuralist” have become commonplace. Mathematics is seen as the investigation, by more or less rigorous deductive means, of “abstract structures”, systems of objects fulfilling certain structural relations among themselves and in relation to other systems, without regard to the particular nature of (...) the objects themselves. Geometric spaces need not be made up of spatial or temporal points or other intrinsically geometric objects; as Hilbert famously put it, items of furniture suitably interrelated could satisfy all the relevant axiomatic conditions as far as pure mathematics is concerned. A group, for instance, can be any multiplicity of objects with operations fulfilling the basic requirements of the binary group operation; indeed the very abstractness of the group concept allows for its remarkably wide applicability in pure and applied mathematics. Similar remarks can be made regarding other algebraic structures, and the many spaces of analysis, differential geometry, topology, etc. Of course, mathematicians distinguish between “abstract structures” and “concrete ones”, e.g. made up of familiar, basic items such as real or complex numbers or functions of such, or rationals, or integers, etc. (For example, the space L2 of square-integrable functions from R (or Rn) to C, with inner product (f, g) =. (shrink)

Robert Smid is senior lecturer in philosophy and religion at Curry College in Milton, Massachusetts. This book, a slightly revised version of his recent PhD dissertation from Boston University, is dedicated to Robert Cummings Neville, under whose guidance it was originally written. As the title suggests, this volume explores various methods of comparative philosophers in the pragmatist and process traditions of American philosophy. Smid thus focuses his analytic lens on William Ernest Hocking (1873–1966), F. S. C. Northrop (1893–1992), the collaborative (...) work of David Hall (1937–2001) and Roger Ames (1947-), and Neville himself (1939-). The four chapters at the heart of the book—between the introduction and final .. (shrink)

The topic of this paper is the notion of technical (as opposed to biological) malfunction. It is shown how to form the property being a malfunctioning F from the property F and the property modifier malfunctioning (a mapping taking a property to a property). We present two interpretations of malfunctioning. Both interpretations agree that a malfunctioning F lacks the dispositional property of functioning as an F. However, its subsective interpretation entails that malfunctioning Fs are Fs, whereas its privative interpretation entails (...) that malfunctioning Fs are not Fs. We chart various of their respective logical consequences and discuss some of the philosophical implications of both interpretations. (shrink)

This note sketches how a theory of procedural semantics may offer a solution to the problem of the unity of the proposition. The current revival of the notion of structured meaning has made the problem of propositional unity pressing. The problem, stated in its simplest form, is how an individual a and a property F combine into the proposition P that a is an F; i.e. how two different kinds of objects combine into a third kind of object capable of (...) having properties that neither of its constituents could have. Constraints imposed on P include that P must be capable of being true/false, being known/believed to be true/false, and occurring as argument of propositional connectives, such as entailment. (shrink)