Equality1 gives rise to challenging questions which are not altogether easy to answer. Is it a relation? A relation between objects, or between names or signs of objects? In my Begriffsschrift I assumed the latter. The reasons which seem to favour this are the following: a = a and a = b are obviously statements of differing cognitive value; a = a holds a priori and, according to Kant, is to be labeled analytic, while statements of the form a = (...) b often contain very valuable extensions of our knowledge and cannot always be established a priori. The discovery that the rising sun is not new every morning, but always the same, was one of the most fertile astronomical discoveries. Even to-day the identification of a small planet or a comet is not always a matter of course. Now if we were to regard equality as a relation between that which the names ‘a’ and ‘b’ designate, it would seem that a = b could not differ from a = a (i.e. provided a = b is true). A relation would thereby be expressed of a thing to itself, and indeed one in which each thing stands to itself but to no other thing. What is intended to be said by a = b seems to be that the signs or names ‘a’ and ‘b’ designate the same thing, so that those signs themselves would be under discussion; a relation between them would be asserted. But this relation would hold between the names or signs only in so far as they named or designated something. It would be mediated by the connexion of each of the two signs with the same designated thing. But this is arbitrary. Nobody can be forbidden to use any arbitrarily producible event or object as a sign for something. In that case the sentence a = b would no longer refer to the subject matter, but only to its mode of designation; we would express no proper knowledge by its means. But in many cases this is just what we want to do. If the sign ‘a’ is distinguished from the sign ‘b’ only as object (here, by means of its shape), not as sign (i.e. not by the manner in which it designates something), the cognitive value of a = a becomes essentially equal to that of a = b, provided a = b is true.. (shrink)

I survey recent work on mental causation. The discussion is conducted under the twin presumptions that mental states, including especially what subjects believe and desire, causally explain what subjects do, and that the physical sciences can in principle give a complete explanation for each and every bodily movement. I start with sceptical discussions of various views that hold that, in some strong sense, the causal explanations offered by psychology are autonomous with respect to those offered by the physical sciences. I (...) then proceed to views that see the problem of mental causation as that of identifying where in the physical story about us and our world lie the parts that in effect tell us abut mental causation - the kind of position that is pretty much standard in the cognitive science community - and consider issues raised by various forms of functionalism and externalism. The general thrust of my discussion is sympathetic to the story about mental causation suggested by those type-type versions of the mind-brain identity theory that allow for the possiblity of multiple realisability. I include a brief discussion of how a map-system account of belief, by contrast with a language of thought one, should understand explanations of behaviour in terms of what a subject believes. (shrink)

This paper develops a theory of belief and belief ascription which retains the core of the received Propositionalist theory but which, unlike the Propositionalist theory, is compatible with both Direct Reference and Individualism about belief. The focus is on developing an alternative analysis of belief ascriptions, drawing out its implications, and applying it to some standard problems. On that analysis, ascriptions involving directly referential embedded terms are seen as roughly characterizing, but not specifying, the contents of beliefs. This feature is (...) what makes it possible to maintain both Direct Reference and Individualism. (shrink)

A sequel to the author’s book /Frege’s Puzzle/ (1986).