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336 BOOK REVIEWS The Nature of All Being: A Study of Wittgenstein's Modal Atomism. By RAYMOND BRADLEY. New York and Oxford: The Oxford University Press, 1992. Pp. xxi + 244. $39.95. Bradley offers as his point of departure this epigraph from Wittgenstein 's Notebooks 1914-1916, written 22 January, 1915: My whole task consists in giving the nature of the proposition. In giving the nature of all being. (And here being does not stand for existence.) His aim in this contribution to the corpus of Wittgenstein scholarship is to " bring into sharp focus the crucial role which modal notions-the notions of necessity, contingency, possibility, impossibility, and so onplay in Wittgenstein's early thinking" (xiii). At this task the book is a clear success. I know of no other work on the Tractatus which is so thoroughly dedicated to the role of modal notions, nor of any which does so much to bring the early Wittgenstein into conversation with contemporary philosophers who work on modal logic and who talk about possible worlds. Bradley convincingly argues that Wittgenstein is not only the largely unrecognized Urvater of modal logic in the twentieth century, with a stature that ought to be equivalent to that of Leibniz, he also presented arguments that even now have an important role to play in contemporary debates among possible world theorists and practitioners of modal logic. Philosophers who are interested in modal logic, especially its history, or in the logical structures of the Tractatus, will find very much of interest in this book. Those who, on the other hand, are chiefly interested in Wittgenstein's views on ethics, the aesthetic, God, or the mystical, or who are interested in the relation between the Tractatus and his later work, will find little here to their taste. The book's structure perspicuously tracks Bradley's argument. Chapter One sets the reader straight on what modal atomism is, giving the history of Wittgenstein's association with Russell, and establishing that the atomism of the Tractatus is in fact modal in nature. Chapter Two argues that Wittgenstein is a possibilist, that is, that he asserts the reality of merely possible entities and that his work is consistent with the modern modal logic called SS. Chapter Three turns to the ontological side, showing how Wittgenstein's commitments to atomic objects as the " substance of the world " entails certain modal relations among objects and the complex facts which they may form. In Chapter Four logic and ontology are brought together in an account of the mirroring relation through which language depicts the world, with attention to a set of intricately argued principles that makes this relation possible. The final chapter brings Wittgenstein's thought to bear on the BOOK REVIEWS 337 whole range of contemporary problems and issues in modal logic, demonstrating by example the author's contention that the Tractatus, rightly attended to, contains important contributions, still unappre· ciated, to the field. Bradley's overall intentions could not be more clear. His strategy for each chapter is clear. Each chapter is divided into between ten and twenty short sections each of which has a specific and well-defined topic. The argumentation within each such section, with a pardonable lapse or two, is well-structured and easy to follow, even for one whose expertise in modal logic is not honed by regular practice. And yet the hook has, on reading, the feel of a very dense landscape of trees, with· out much overview of the forest. This impression is given, I believe, by the style of argumentation. While the topics are sequentially related and build to a general picture, the arguments that must be articulated and answered in each section have little relation, one to the next: a problem in this view, a contradiction or a paradox in that, a resolution, and then on to the next section, where an apparent inconsistency of some sort must be addressed, and so on. There is the feeling of dealing serially with connected topics, but not the feeling of cumulative argumentation building toward a conclusion. A conclusion, however, there is: that Wittgenstein was the modal logician par excellence of the early 20th century, who has much...

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