Alisha Moore

The philosophy of mathematics was of colossal importance to Wittgenstein. Its problems had a peculiarly strong hold on him; and he seems to have thought that it was in addressing these problems that he produced his greatest work. However robust the distinction between the calculus and the surrounding prose, the prose may infect the calculus; or the prose may infect how we couch the calculus. Yet Wittgenstein's writings in the philosophy of mathematics stand in a curious relation to this self‐assessment. By 1938, he had written an early version of his master‐work Philosophical Investigations, the second half of which was on the philosophy of mathematics. This material did not survive into the version of Philosophical Investigations that was eventually published after his death. Instead it appeared, modified in various ways, along with notes that he wrote during World War II, as Remarks on the Foundations of Mathematics, another posthumous publication, assembled by his literary executors.

Criteria of ineffability are presented which, it is claimed, preclude the possibility of truths that are ineffable, but not the possibility of other things that are ineffable—not even the possibility of other things that are non-trivially ineffable. Specifically, they do not preclude the possibility of states of understanding that are ineffable. This, it is argued, allows for a reappraisal of the dispute between those who adopt a traditional reading of Wittgenstein’s Tractatus and those who adopt the new reading recently championed by Cora Diamond, James Conant, and others. By maintaining that what the nonsense in the Tractatus is supposed to convey is ineffable understanding, rather than ineffable truth, we can do considerable justice to each of these readings. We can also do considerable justice to the Tractatus.

This essay is concerned with Graham Bird’s treatment, in The Revolutionary Kant, of Kant’s mathematical antinomies. On Bird’s interpretation, our error in these antinomies is to think that we can settle certain issues about the limits of physical reality by pure reason whereas in fact we cannot settle them at all. On the rival interpretation advocated in this essay, it is not true that we cannot settle these issues. Our error is to presuppose that the concept of the unconditioned has application to physical reality. Once this presupposition has been abandoned, we can retrieve sound arguments from the antinomies, not indeed to demonstrate that the views originally being defended are correct, but to demonstrate that the views originally being attacked are incorrect. The essay concludes with some comments concerning how this disagreement relates to a broader disagreement about the best way to understand Kant.

In this essay I focus on the idea of the univocity of being, championed by Duns Scotus and given prominence more recently by Deleuze. Although I am interested in how this idea can be established, my primary concern is with something more basic: how the idea can even be properly thought. In the course of exploring this issue, which I do partly by borrowing some ideas about logical syntax from Wittgenstein's Tractatus, I try to show how there can be dialogue between analytic philosophers and those of other traditions

It is argued that, although there are no ineffable truths, the concept of ineffability nevertheless does have application—to certain states of knowledge. Towards the end of the essay this idea is related to religion: it is argued that the language that results from attempting (unsuccessfully) to put ineffable knowledge into words is very often of a religious kind. An example of this is given at the very end of the essay. This example concerns the Euthyphro question: whether what is right is right because God wills it, or whether God wills it because it is right.

This essay is concerned with six linguistic moves that we commonly make, each of which is considered in turn. These are: stating rules of representation; representing things categorically; mentioning expressions; saying truly or falsely how things are; saying vaguely how things are; and stating rules of rules of representation. A common-sense view is defended of what is involved in our doing each of these six things against a much more sceptical view emanating from the idea that linguistic behavior is fundamentally messy. Both the fifth move and the sixth move involve vague concepts, and much of the essay is concerned with developing an approach to various problems and puzzles that attach to such concepts, most notably the sorites paradoxes.

1. If it is true that ‘an ethic is the propositional reflection of the dispositions and attitudes, policies and stances, of people,’ as Simon Blackburn says in summary of the quasi-realism that he champions in this excellent and wonderfully provocative book, then it seems to follow that different dispositions, attitudes, policies and stances—different conative states, for short—will issue in different ethics, each with an equal claim to truth; and this in turn seems to be one thing that could be reasonably meant by that slippery polyseme ‘relativism’. If such relativism does follow, a good deal remains to be said about how much force it has. At the limit it might do no more than signal the abstract possibility of an ethic rivalling that of humans. More potently, it might somehow legitimize the different ethics of different groups of humans in actual conflict with one another. But without the possibility of some such variability of ethic to match a possible variability of conative state, the quasi-realist’s claim that an ethic ‘reflects’ a particular combination of conative states appears hollow.

What can--and what can't--philosophy do? What are its ethical risks--and its possible rewards? How does it differ from science? In Philosophy as a Humanistic Discipline, Bernard Williams addresses these questions and presents a striking vision of philosophy as fundamentally different from science in its aims and methods even though there is still in philosophy "something that counts as getting it right." Written with his distinctive combination of rigor, imagination, depth, and humanism, the book amply demonstrates why Williams was one of the greatest philosophers of the twentieth century. Spanning his career from his first publication to one of his last lectures, the book's previously unpublished or uncollected essays address metaphysics, epistemology, and ethics, as well as the scope and limits of philosophy itself. The essays are unified by Williams's constant concern that philosophy maintain contact with the human problems that animate it in the first place. As the book's editor, A. W. Moore, writes in his introduction, the title essay is "a kind of manifesto for Williams's conception of his own life's work." It is where he most directly asks "what philosophy can and cannot contribute to the project of making sense of things"--answering that what philosophy can best help make sense of is "being human." Philosophy as a Humanistic Discipline is one of three posthumous books by Williams to be published by Princeton University Press. In the Beginning Was the Deed: Realism and Moralism in Political Argument was published in the fall of 2005. The Sense of the Past: Essays in the History of Philosophy is being published shortly after the present volume

It is a long time since I have admired a book as much as I admire this one. It is a long time since I have disagreed with a book as profoundly as I disagree with this one. I hope this combination of reactions on my part has more than whatever limited biographical interest it has. I hope it helps to signal the combination of excellence and provocation that mark Timothy Williamson's book, which is at once beautifully clear, forcefully argued, continually insightful, and, in my view, deeply wrong.One thing that I admire about the book is Williamson's preparedness to reflect philosophically on the nature of philosophy, something that is surprisingly rare in a discipline that is marked by such a high degree of self-consciousness and in which there are so few scruples about reflecting on the nature of other disciplines. One thing that gives me pause is Williamson's lack of serious engagement with the history of philosophy. 1 I am convinced that the philosophy of philosophy will always be seriously handicapped if it is as dissociated from the history of philosophy as this. But I shall not dwell on that concern here, because Williamson is clear enough about where his interests lie and I would be in danger, if I did, of succumbing to that familiar absurdity of berating an author for not having written a numerically different book.What I will say is that Williamson's failure to engage seriously with the history of philosophy seems to me indicative of a scientism about philosophy which, despite how much he does to motivate his conception of the discipline, is manifest in how much ….

It is only two years since Immanuel Kant published his monumental Critique of Pure Reason.As part of entering into the spirit of this ‘untimely review’, I shall pretend that only the first edition of the Critique exists. This has a bearing on some claims that I shall make about differences between the content of the Prolegomena and that of the Critique. Despite its formidable difficulty, that book has already generated intense interest in the philosophical community. Those who are still struggling to come to terms with its dense and subtle argumentation, or who may not even have started to read it yet but who know from the furore that it has created that it needs to be high on their ‘to read’ list, might easily despair at the prospect of having now to contend with another volume on the same broad range of subjects by the same author. This prospect is not, however, as daunting as it seems. In fact, it should afford some solace, at least if we are to believe claims that Kant makes on beh

According to Kant, being purely rational or purely reasonable and being autonomously free are one and the same thing. But how can this be so? How can my innate capacity for pure reason ever motivate me to do anything, whether the right thing or the wrong thing? What I will suggest is that the fundamental connection between reason and freedom, both for Kant and in reality, is precisely our human biological life and spontaneity of the will, a conjunctive intrinsic structural property of our animal bodies, which essentially constitutes human personhood and rational agency. I say ‘suggest’ because, obviously, no proper argument for such a conclusion could ever be worked out in a short essay. I would nevertheless like to motivate my suggestion by way of a commentary on the second part of Adrian Moore's extremely rich and interesting recent book, Noble in Reason, Infinite in Faculty

[A. W. Moore] Criteria of ineffability are presented which, it is claimed, preclude the possibility of truths that are ineffable, but not the possibility of other things that are ineffable—not even the possibility of other things that are non-trivially ineffable. Specifically, they do not preclude the possibility of states of understanding that are ineffable. This, it is argued, allows for a reappraisal of the dispute between those who adopt a traditional reading of Wittgenstein’s Tractatus and those who adopt the new reading recently championed by Cora Diamond, James Conant, and others. By maintaining that what the nonsense in the Tractatus is supposed to convey is ineffable understanding, rather than ineffable truth, we can do considerable justice to each of these readings. We can also do considerable justice to the Tractatus. /// [Peter Sullivan] Moore proposes to cut between 'traditional' and 'new' approaches to the Tractatus, suggesting that Wittgenstein's intention is to convey, through the knowing use of nonsense, ineffable understanding. I argue, first, that there is indeed room for a proposal of Moore's general kind. Secondly, though, I question whether Moore's actual proposal is not more in tune with Wittgenstein's later thought than with the attitude of the Tractatus.