This is an updated version of an essay originally written for a special issue of Philosophical Topics on the links between Kant and analytic philosophy. It explores these links by focusing on: Wittgenstein’s Tractatus; the logical positivism endorsed by Ayer; and the (very different) variation on that theme endorsed by Quine. The claim defended is that in all three cases we see analytic philosophers trying to attain and express a general philosophical understanding of why the bounds of sense should be (...) drawn where they should—but thereby confronting the aporia, which Kant too confronted, that it is impossible to do this without transgressing those very bounds. The paper closes by suggesting that the problem is in trying to attain and express such an understanding; in other words, that such an understanding is attainable, but not expressible. (shrink)

If something changes from being in one state to being in another state, when exactly does it change? And what’s going on at that time? These questions are often discussed under the heading of the ‘moment’ or ‘instant’ of change. In this paper, I will investigate a view on which there is an intrinsically distinguished, atomic time at which something changes, and at that time it is metaphysically indeterminate what is the case. The background metaphysical picture is situationalism, a theory (...) on which reality is composed of irreducibly conflicting parts. These conflicting parts give rise to unsettledness in reality as a whole, and also at the point of change. I propose this view as a competitor for existing accounts of the time of change, and spell out a few reasons in its favour. (shrink)

Frege's conception of the logical categories has vexed commentators for decades. In this dissertation, I argue that it revolves around two forms of internality. The first is the internality of its use in the expression of judgment to the sign. A proper understanding of that internality reveals how Frege's philosophical logic cannot be fit into the framework given by the contemporary syntax/semantics distinction. The second is the internality that obtains between the way in which Begriffsschrift signs stratify into different categories, (...) on the one hand, and the way in which the realm of Bedeutungen stratifies into logical categories, on the other hand. A proper understanding of this internality reveals how Frege's conception of the relation between language and the world is neither a form of realism nor a form of linguistic idealism. To come to understand Frege's conception of the logical categories, is to come to understand both these forms of internality by coming to understand how they hang together. (shrink)

In this paper I propose a new solution to the problem of change: situationalism. According to this view, parts of reality fundamentally disagree about what is the case and reality as a whole is unsettled (i.e. metaphysically indeterminate). When something changes, parts of the world irreconcilably disagree about what properties it has. From this irreconcilable disagreement, indeterminacy arises. I develop this picture using situations, which are parts of possible worlds; this gives it the name situationalism. It allows a B-theory endurance (...) view on which there is genuine incompatibility when things change. There are costs to the view, which are explored, but it is a novel approach which offers a distinct explanation of what happens when things exist through change. (shrink)

Drawing mainly from the Tractatus Logico-Philosophicus and his middle period writings, strategic issues and problems arising from Wittgenstein’s philosophy of mathematics are discussed. Topics have been so chosen as to assist mediation between the perspective of philosophers and that of mathematicians on their developing discipline. There is consideration of rules within arithmetic and geometry and Wittgenstein’s distinctive approach to number systems whether elementary or transfinite. Examples are presented to illuminate the relation between the meaning of an arithmetical generalisation or theorem (...) and its proof. An attempt is made to meet directly some of Wittgenstein’s critical comments on the mathematical treatment of infinity and irrational numbers. (shrink)

There is a confounding issue at the very heart of philosophical reflection. It is the question of where, and in what sense, the bounds of intelligible thought, knowledge, and speech are to be drawn. To inquire into these limits is to acknowledge that we are “finite thinking beings,” as Kant puts it. Indeed, one way of understanding our essentially problematic position in the world which leads us into philosophy is to view it as a position of being fated to the (...) perpetual attempt to reckon with the limits of intelligibility: we are creatures for whom it can become a live question how to make sense of thought, action, knowledge, the good life, the nature of self-consciousness, mortal existence, and so forth – and where this sense-making gives out. This introductory essay puts special emphasis on the ways in which we might fall prey to a confused and pernicious kind of self-deception or self-alienation in seeking a philosophical remedy to the limits of intelligibility. In modern times, no other thinkers have faced up to this troubling possibility of self-alienation with the same rigor and in such depth as Kant and Wittgenstein. (shrink)