Although the theory of definability had many important antecedents—such as the descriptive set theory initiated by the French semi-intuitionists in the early 1900s—the main ideas were first laid out in precise mathematical terms by Alfred Tarski beginning in 1929. We review here the basic notions of languages, explicit definability, and grammatical complexity, and emphasize common themes in the theories of definability for four important languages underlying, respectively, descriptive set theory, recursive function theory, classical pure logic, and finite-universe logic. We (...) review the history of previous studies of the similarities and differences in the theories of definability of the first three of these four languages. A seminal role leading toward unification of the theories has been played by the separation principles introduced by Nikolai Luzin in 1927. Emphasizing analogies and driving toward further unification embracing finite-universe logic we concentrate on a simple example—the first and second separation principles for existential-universal first-order sentences . Using this as a test case for the fundamental problem of how to “finitize” arguments in classical pure logic to the finite-universe case, we are led to the analogous negative solution by using the theory of certain special graphs: a graph is - special for any positive integers m , n , p , q iff it is bipartite with m red points and n blue points and for every p -tuple of red points there is a blue point to which they are all connected . As an aside we introduce for further study a natural “Ramseyesque” increasing sequence A of positive integers, where A is the least positive integer n for which an -special graph exists. (shrink)

This presentation of the main phases and features of political thought in the sixteenth century is based on an exhaustive study of contemporary writings in Latin, English, French, German and Italian. The book is divided into four parts. The first part deals with the new thought of Protestantism. The rest describes special ideas that emerged in England, France and Italy.

In lieu of an abstract, here is a brief excerpt of the content:BOOK REVIEWS 477 (p. 32), although some might consider him to have been an important historian of logic. I am not certain that citing Carnap and Heideggar (p. 75) can do much to clarify Vires. When one reads 'Henrique Estienne' and "Hipotiposes pirronicas" (p. 266) in an Italian book he is a bit taken aback and wonders whether the author has done his homework. The writer missed a golden (...) opportunity to connect Galileo to the tradition, for his still unpublished Quaestiones on logic and the De motu (both written before 1600) have many interesting comments which tie in directly with the material developed in this volume. This could have provided an excellent bridge to the next'century, when the analytic method began to take a more central role in scientific and methodological discussions. There is still room for a number of studies on the evolution of the analytic method during the Renaissance. Unfortunately Crescini's study barely scratches the surface of this immense subject. Let us hope that his book will at least have the effect of encouraging others to treat the matter with more care, in greater depth, and more exhaustively. The volume is provided with a preface by Giorgio Radetti, who claims more for it than it actually provides, as well as noting that it is the first part of a more comprehensive study by the same author on the formation of the analytic method in Cartesian philosophy (p. 5). The book has a useful index, but unfortunately no bibliography. CHARLESB. ScxiMrrr The University of Leeds Le thomisme et la pens#e italienne de la Renaissance. By Paul Oskar Kristeller. Conference Albert-le-Grand 1965. (Montr6ah Institut d'~tudes m~di~vales, and Paris: Vrin, 1967. Pp. 287. $6) Surprisingly little is known about the later history of Thomism. This brief but very rich lecture by Professor Kristeller, renowned historian of Italian Renaissance philosophy, examines one period in the later career of St. Thomas' thought. This study, based chiefly on unpublished source material, shows that Thomas was very much present to both the humanists and to the academic philosophers during the Renaissance. Such leading humanists as Lorenzo Valla, Giovanni Pico della Mirandola, and Marsilio Ficino, quote St. Thomas frequently and with approval. Even the unfavorable attitudes of Ermolao Barbaro or Baptista Mantuanus show that Thomas was already the most celebrated of mediaeval philosophers. The professors of philosophy at Italian universities, such as Pierre Pomponazzi, speak of Thomas with great respect and regard his theology as in conformity with the truths of faith, even when they reject his philosophy as being in disaccord with the authentic teaching of Aristotle. St. Thomas made a continuous contribution to the development of Renaissance theology and philosophy. Yet the principal Italian thinkers did not follow him strictly nor fall under his exclusive influence. Thomas is merely one of the most important sources, not the prevailing influence, in Renaissance thought. Ficino, for example, is,178 HISTORY OF PHILOSOPHY in accord with Thomas on certain important points, but his own theology is more in the spirit of Plato and Augustine. Professor Kristeller's vast learning is at the service of admirably balanced conclusions. Not everyone will agree with all his interpretations; Ficino perhaps did not imagine himself to be "constructing a system of philosophy" (p. 96) since the very title of his work, Theologia platonica, suggests that he continues, with new materials, the labor of mediaeval theolo#ans. And Ficino's doctrine of the continuity of the supernatural life of the soul in this world and the next (p. 120) seems to be completely in accord with Thomas. But the author's very careful scholarly method and sound general conclusions are beyond criticism. Two hitherto unpublished Latin texts are printed in critical edition at the end of the French lecture, the Opus aureum in Thomistas by Baptists Mantuanus, which is anti-Thomas, and the Opusculum ad Laurentium Medicem on beatitude, by Vincentius Bandellus, which is pro-Thomas. Like Professor Kristeller's fine lecture, these new texts are a permanent contribution to scholarship. PAUL J. W. MILLER University of Colorado The Anatomy of Leviathan. By F. S. McNeilly. (New York: St. Martin's Press, 1968. Pp... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:BOOK REVIEWS 477 (p. 32), although some might consider him to have been an important historian of logic. I am not certain that citing Carnap and Heideggar (p. 75) can do much to clarify Vires. When one reads 'Henrique Estienne' and "Hipotiposes pirronicas" (p. 266) in an Italian book he is a bit taken aback and wonders whether the author has done his homework. The writer missed a golden (...) opportunity to connect Galileo to the tradition, for his still unpublished Quaestiones on logic and the De motu (both written before 1600) have many interesting comments which tie in directly with the material developed in this volume. This could have provided an excellent bridge to the next'century, when the analytic method began to take a more central role in scientific and methodological discussions. There is still room for a number of studies on the evolution of the analytic method during the Renaissance. Unfortunately Crescini's study barely scratches the surface of this immense subject. Let us hope that his book will at least have the effect of encouraging others to treat the matter with more care, in greater depth, and more exhaustively. The volume is provided with a preface by Giorgio Radetti, who claims more for it than it actually provides, as well as noting that it is the first part of a more comprehensive study by the same author on the formation of the analytic method in Cartesian philosophy (p. 5). The book has a useful index, but unfortunately no bibliography. CHARLESB. ScxiMrrr The University of Leeds Le thomisme et la pens#e italienne de la Renaissance. By Paul Oskar Kristeller. Conference Albert-le-Grand 1965. (Montr6ah Institut d'~tudes m~di~vales, and Paris: Vrin, 1967. Pp. 287. $6) Surprisingly little is known about the later history of Thomism. This brief but very rich lecture by Professor Kristeller, renowned historian of Italian Renaissance philosophy, examines one period in the later career of St. Thomas' thought. This study, based chiefly on unpublished source material, shows that Thomas was very much present to both the humanists and to the academic philosophers during the Renaissance. Such leading humanists as Lorenzo Valla, Giovanni Pico della Mirandola, and Marsilio Ficino, quote St. Thomas frequently and with approval. Even the unfavorable attitudes of Ermolao Barbaro or Baptista Mantuanus show that Thomas was already the most celebrated of mediaeval philosophers. The professors of philosophy at Italian universities, such as Pierre Pomponazzi, speak of Thomas with great respect and regard his theology as in conformity with the truths of faith, even when they reject his philosophy as being in disaccord with the authentic teaching of Aristotle. St. Thomas made a continuous contribution to the development of Renaissance theology and philosophy. Yet the principal Italian thinkers did not follow him strictly nor fall under his exclusive influence. Thomas is merely one of the most important sources, not the prevailing influence, in Renaissance thought. Ficino, for example, is,178 HISTORY OF PHILOSOPHY in accord with Thomas on certain important points, but his own theology is more in the spirit of Plato and Augustine. Professor Kristeller's vast learning is at the service of admirably balanced conclusions. Not everyone will agree with all his interpretations; Ficino perhaps did not imagine himself to be "constructing a system of philosophy" (p. 96) since the very title of his work, Theologia platonica, suggests that he continues, with new materials, the labor of mediaeval theolo#ans. And Ficino's doctrine of the continuity of the supernatural life of the soul in this world and the next (p. 120) seems to be completely in accord with Thomas. But the author's very careful scholarly method and sound general conclusions are beyond criticism. Two hitherto unpublished Latin texts are printed in critical edition at the end of the French lecture, the Opus aureum in Thomistas by Baptists Mantuanus, which is anti-Thomas, and the Opusculum ad Laurentium Medicem on beatitude, by Vincentius Bandellus, which is pro-Thomas. Like Professor Kristeller's fine lecture, these new texts are a permanent contribution to scholarship. PAUL J. W. MILLER University of Colorado The Anatomy of Leviathan. By F. S. McNeilly. (New York: St. Martin's Press, 1968. Pp... (shrink)

In modern approaches to phonology a lack of clarity exists on the issue of whether phonetic facts are psychological or physical realities. The results from an experiment suggest that phonetic facts can be considered as psychological realities, but with the restriction that they can take acoustical shape. More specifically, the syntactic material consisted of ambiguous French sentences of the following sort: On a tourné ce film intéressant pour les étudiants. They were spoken in disambiguating contexts, without the readers noticing (...) the ambiguities, and without context, but with the instruction to make a conscious effort to disambiguate. By tape splicing, the contexts were removed from the context-embedded sentences. Twenty-eight native speakers of French listened to the sentences and judged whether one or the other meaning had been intended by the speaker. Subjects performed significantly above chance: 60% correct identifications for context-embedded sentences, 75% for context-free sentences. Pitch-amplitude analyses were made to determine the acoustical differences involved. (shrink)

A richly detailed history of French secular thought in the seventeenth and early eighteenth centuries. A wealth of material is introduced from unpublished manuscripts. Spink's stress on the clandestine spread of the enlightenment, in spite of official suppression, is interesting and sobering.--J. M. W.

Every once in awhile an academic drudge gets to visit a place that dreams are made of. We all know the little game in which American scholars compete to mention the exotic locations they have been to: Paris, London, Beijing, Mumbai. But I have never aroused such open jealousy in my colleagues until I uttered the word “Casablanca.”For knowledgeable tourists, this is something of a puzzle. Casablanca is routinely disrespected by the guidebooks for its lack of an authentically ancient medina (...) or a labyrinthine souk, and its paucity of museums leaves the tourist with relatively few obvious destinations. One suspects that much of the aura surrounding the city's name comes from the wholly fictional movie and the associated mystique of Humphrey Bogart and Ingrid Bergman. Moroccans are notably marginal in the film, which, in a kind of doubling of colonial occupation, treats Casablanca as an outpost of the Vichy French regime under the thumb of the Nazis. Rick's Café Américain never existed until quite recently, when a retired American diplomat decided to capitalize on the legendary bistro with a simulacrum. The real city is quite modern, with the relics of 1920s colonial art-deco-French architecture serving as a main attraction, along with the thoroughly contemporary mosque of Hassan II, designed by a French architect and finished only in the 1990s. There is also the Corniche, with its surfing beaches and exclusive cafés, clubs, and hotels. (shrink)

The political system adopted by Restoration France seemed to call for opposition, and possibly even parties, on the model of Britain. The French, however, remained deeply divided by the Revolution, such that the civilities of parliamentary government developed only with difficulty. Reflecting the distrust inherited from the Revolution, deputies favoured a secret ballot for votes in the chambers and this alone made it easy to disguise political loyalties or to change them. Those who resisted the British model emphasized the (...) virtues of political choices that responded only to one's conscience and sense of honour. On that basis, party seemed inconsistent both with French individualism and with a sense of delicacy. Supporting the claims for indig- enous political mores were perceptions of British politics that exaggerated the discipline of their parties. Though party bonds in France remained very loose — and understanding of the logic of parliamentary government less than perfect — those now deemed the important political thinkers of the time were, in the main, admirers of the politics of party. (shrink)

Shestov's name appears from time to time in existentialist literature. Camus, for example, refers approvingly to Shestov in The Myth of Sisyphus: "Shestov... tracks down, illuminates, and magnifies the human revolt against the irremediable." Kierkegaard and the Existential Philosophy was translated earlier into French and into Danish in 1947, and German in 1949. The Danes received Shestov's book with great appreciation, and were particularly happy about his attempt to relate Kierkegaard to such diverse thinkers as Tolstoy, Dostoevsky, Nietzsche, Hegel, (...) Spinoza, Luther, and others. And that is what Shestov's work on Kierkegaard is fundamentally all about, an attempt to place Kierkegaard in the history of philosophical and theological thought. Shestov is appreciative of Kierkegaard as the great champion of the revelational character of the Christian faith. Revelation stands over against reason, and the truths of one cannot be reconciled with the truths of the other. Shestov attempts to set in opposition the proponents of a rationalistic philosophy, Socrates, Spinoza, Hegel, and Kant, and the advocates of Biblical faith, Job, Abraham, Paul, Luther, and Kierkegaard, arguing that a reconciliation is impossible. One must choose to live the life of "the knight of faith," rather than attempt to find answers to, or reasons for, life's ambiguities. The author employs a methodological device much in vogue among Kierkegaard scholars in the 30s and 40s, i.e., he employs Kierkegaard's own life and experiences as a model to analyze and clarify theological conundrums. Kierkegaard's unhappiness is related to the human problem of suffering, just as Kierkegaard attempts at knowledge fail because he had forgotten the Biblical truth that "all that is not faith is sin." Finally, man must reject Spinoza's injunction "Do not laugh, do not weep, do not condemn, but understand." Not understanding, but faith. Kierkegaard's own life reveals an alternation between those polar opposites.--W. A. J. (shrink)

When Fatal Strategies was first published in French in 1983, it represented a turning point for Jean Baudrillard: an utterly original, and for many readers, utterly bizarre book that offered a theory as proliferative, ecstatic, and hallucinatory as the postmodern world it endeavored to describe. Arguing against the predetermined outcomes of dialectical thought with his renowned, wry, ambivalent passion, with this volume Jean Baudrillard mounted an attack against the "false problems" posed by Western philosophy. If his Marxist days were (...) firmly behind him, Baudrillard here indicated that metaphysics had also gone the way of sociology and politics: the contemporary world demanded nothing less than Pataphysics, Alfred Jarry's absurdist philosphy that described the laws of the universe supplementary to this one. In effect, with Fatal Strategies, Baudrillard became Baudrillard. In his extrapolationist manner, Baudrillard sought to replace Western philosophy's circular arguments with a ritualistic Theater of Cruelty. Using this line of thought developed in Fatal Strategies, Baudrillard went on, throughout the 1980s, to find new and shatteringly accurate ways of discussing American corporatocracy, arms build-up, and hostage taking. Fatal Strategies asserts a profound critique of American politics, and it is an important step towards his examination of evil.Jean Baudrillard was a philosopher, sociologist, cultural critic, and theorist of postmodernity who challenged all existing theories of contemporary society with humor and precision. An outsider in the French intellectual establishment, he was internationally renowned as a twenty-first century visionary, reporter, and provocateur. His Simulations instantly became a cult classic and made him a controversial voice in the world of politics and art. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:BOOK REVIEWS Unbaptized God. The Basic Flaw in Ecumenical Theology. By ROBERT W. JENSON. Minneapolis: Fortress Press, 1992. Pp. v + 152. $16.95 (paper). The thesis of this potentially revolutionary book is nicely summarized in its title: the basic flaw in ecumenical theology is the unbaptized-that is, insufficiently trinitarian-God of Christians East and West, Protestant and Catholic. The book is revolutionary because it proposes a new way of reading (...) the logic of a myriad of ecumenical dialogues over the last quarter century; as a result, ecumenical theology and praotice for which God is among the " settled " issues ought be appropriately chastised by this book. But I think that Unbaptized God is only "potentially " revolutionary because I think Jenson leaves two crucial questions unanswered. Jenson's daring argument is made with rare clarity and compactness. Consider the argument in three stages. First, in an introduction, Jenson describes " the frustration of dialogue." He does not mean the frustration created by the meager knowledge or acceptance of the results of ecumenical dialogues on the popular level-or the reception without action of these results by Church officials (p. 2). He focuses on " a third mode of frustration ": a dialogue will proceed toward a " convergence," not without "tolerable divergence "; but the initially tolerable divergence eventually yields " a newly virulent division." The process is seemingly "circular" (p. 3). "No set of convergences ever seems to be enough, once the separations are there " (p. 4). Why? And what can be done about this? Second, Jenson illustrates the frustration and starts showing the way beyond it in several different ways. He describes the dialogues in the first two parts of the book. In Part One, Jenson takes up "The Early Ecumenical Convergences " on issues central to the sixteenth century reformations, Ca.tholic and Protestant: Justification (ch. 1), Real Presence (ch. 2), and Eucharistic Sacrifice (ch. 3). Part Two takes up Churchly Office (ch. 4), Episcopacy (ch. 5), Roman Primacy (ch. 6), and The Church's Mediation (ch. 7). The distinctions between the issues of Part One and Part Two seem to be both historical and logical. Historically, the issues of Part Two are what Walter Kasper called the surprising "displacement of the problematic" (p. 44) from issues 677 678 BOOK REVIEWS considered central by Trent and the Reformers (especially justification and the eucharist) to issues that emerged after the Reformation (especially ecclesiology). Logically, the distinction between Part One and Part Two is the distinction between the traditional matters of controversy (Part One) and what are claimed to be differences "hidden at some conceptual level deeper than that occupied by the traditional matters of controversy" (Part Two) (p. 7). I will not rehearse Jenson's splendid summaries of the many dialogues in English, French, and German (although the book ought be recommended on these grounds alone). The unofficial Groupe des Dombes is regularly regarded as the most ecumenically insightful, and the Dominican J. M. R. Tillard plays a particularly crucial role among Roman Catholic theologians. It is enough to say that Jenson successfully shows how each dialogue can be read as an instance of the frustration he initially mentioned: a " convergence " occurs on each topic which later turns into a " divergence " which later is converted into a " convergence " and so forth. By the end (ch. 7), everything seems to circle back to the doctrine of justification (ch. 1). But the appearances, Jenson argues, are deceiving. "The pattern of the dialogue's history proves to be more like a spiral than a circle on a plane" (p. 103). Thus, besides describing the dialogues, Jenson must also prove that the dialogues exhibit a non-circular movement. One of the fascinating features of Jenson's argument at this stage is that he does this in a slightly different way in each of the first seven chapters. For example, he sometimes clears away "illusory dissensus" (p. 22). He sometimes concludes that "the Catholic side is right." Indeed, the Catholic side seems right on most crucial issues-on convictions about the temporal constitution of persons that constitute the background for arguments over Real Presence (p. 32); on the "new" Catholic theology of eucharistic sacrifice (p. 41) ; on episcopal succession (p. 74... (shrink)

"Contemporary Mind - Some Modern Answers" is a fantastic collection of essays by English science writer John W. Sullivan. They deal with a range of subjects, ranging from mysticism and immortality to the relationship between science and art. John William Navin Sullivan (1886 - 1937) was a literary journalist and popular science writer most famous for his study of Beethoven. He is also responsible for having written some of the earliest non-technical accounts of Einstein's General Theory of Relativity, and he (...) was acquainted with many important writers in London in the 1920s, including John Middleton Murry, Aldous Huxley, Wyndham Lewis, Aleister Crowley and T. S. Eliot. Other notable works by this author include "Aspects of Science" (1923), "Aspects of Science: Second Series" (1926), and An Outline of Modern Knowledge (1931). Contents include: "The Balanced Life," "The Problem of Suffering," "The Necessity of Mysticism," "Human Immortality," "A Dissertation on Beethoven," "The Scientific Outlook," "A Dissertation on Maxwell," "New Principles," "A Dissertation on Newton," "Science and Art," "Mathematics and Culture," "Sir Josiah Stamp," "Mr. Aldous Huxley," etc. Many vintage books such as this are increasingly scarce and expensive. It is with this in mind that we are republishing this volume now in an affordable, modern, high-quality edition complete with the original text and artwork. (shrink)