This book is an anthology of Plato's writings, connected with sections of commentary.

It may seem strange, in view of the spate of recent literature on the subject, that yet another article should be forthcoming on what is certainly the most familiar, as well as the most vexed, of all Platonic passages. But it is precisely this spate of literature that has impelled me to write. The time seems to have come for an article which, rather than seeking desperately for something new, sets out instead to reaffirm those facts and conclusions that even (...) the most resolutely original of scholars could hardly venture to dispute. This article will therefore be based, not on any of the numerous modern interpretations, but on what Plato himself actually wrote. It will contain a number of tentative suggestions which, to the best of my knowledge, have not been made before. They can, and probably will, be rejected. But its primary purpose remains to restate, whenever possible in Plato's own words, a number of important facts that are at once so simple and so obvious that they seem repeatedly, and especially in recent years, to have been quite forgotten. (shrink)

This book traces the intellectual revolution initiated by Thales in the sixth century BC to its culmination in the metaphysics of Parmenides.

In a well-known quotation from Speusippus in the Theologumena Arithmeticae , said to have been derived from Pythagorean sources, especially Philolaus, occur the following sentences: And again a little later: Similarly Sextus Empiricus , drawing evidently on a relatively early Pythagorean source, writes as follows: And Aristotle himself writes of the Pythagoreans : There were, in fact, certain Pythagoreans who equated the number 2 with the line because they regarded the line as ‘length without breadth extended between two points’; and (...) likewise the number 3 was equated with the plane and 4 with the solid. (shrink)

No pre-Socratic philosopher, perhaps, has caused more disagreement, or been more variously interpreted, than Anaxagoras of Clazomenae. Among recent attempts to reconstruct his system some of the more notable are those of Tannery, Bailey, Cornford, Peck, and Vlastos. Each of these reconstructions, and especially that of Tannery, has its adherents; and since none of them has much in common with any other, a universally acceptable solution to the fundamental problems involved may well by now seem unattainable. It is my belief, (...) however, and it is the object of this paper to try to prove, that all these modern reconstructions have at least one quality in common, namely an undue complication. The actual system of Anaxagoras was, I believe, considerably simpler than any reconstruction yet forthcoming. Unfortunately what I take to be the basis of the whole system, Anaxagoras' reaction to his Eleatic predecessors, is by.no means easy to convey in brief and simple terms. But if I should succeed in conveying it, then it will, I hope, be seen in itself to possess such a simplicity and neatness that my contention will carry with it a fair warrant of its own truth. I shall, for convenience, divide my argument into ten sections, to which I shall append a brief summary of my conclusions. (shrink)

In a well-known quotation from Speusippus in the Theologumena Arithmeticae, said to have been derived from Pythagorean sources, especially Philolaus, occur the following sentences: And again a little later: Similarly Sextus Empiricus, drawing evidently on a relatively early Pythagorean source, writes as follows: And Aristotle himself writes of the Pythagoreans : There were, in fact, certain Pythagoreans who equated the number 2 with the line because they regarded the line as ‘length without breadth extended between two points’; and likewise the (...) number 3 was equated with the plane and 4 with the solid. (shrink)

There is a long history of cryptographic hash functions, i.e. functions mapping variable-length strings to fixed-length strings, and such functions are also expected to enjoy certain security properties. Hash functions can be effected via modular arithmetic, permutation-based schemes, chaotic mixing, and so on. Herein we introduce the notion of an artificial-life (ALife) hash function (ALHF), whereby the requisite mixing action of a good hash function is accomplished via ALife rules that give rise to complex evolution of a given system. Various (...) security tests have been run, and the results reported for examples of ALHFs. (shrink)

In this paper I take Hempel’s raven paradox as the claim that statements of the form ‘∼Ru v Bu’, ‘u is not a raven or u is black,’ confirm the hypothesis h ‘(x)(Rx → Bx)’, ‘All ravens are black.’ Although Hempel discusses this using a criterion of confirmation expressed wholly in terms of deductive logic (see 1965, pp. 35-9), it has become more common to articulate criteria of confirmation using concepts of probability and, in particular, to employ the (...) positive relevance criterion of confirmation which says that, given background knowledge k, (i) e confirms h if and only if P(h/e.k)>P(h/k); (ii) e disconfirms h if and only if P(h/e.k)shrink)

Although much has been written about the vigorous debates over science and religion in the Victorian era, little attention has been paid to their continuing importance in early twentieth-century Britain. Reconciling Science and Religion provides a comprehensive survey of the interplay between British science and religion from the late nineteenth century to World War II. Peter J. Bowler argues that unlike the United States, where a strong fundamentalist opposition to evolutionism developed in the 1920s (most famously expressed in the Scopes (...) "monkey trial" of 1925), in Britain there was a concerted effort to reconcile science and religion. Intellectually conservative scientists championed the reconciliation and were supported by liberal theologians in the Free Churches and the Church of England, especially the Anglican "Modernists." Popular writers such as Julian Huxley and George Bernard Shaw sought to create a non-Christian religion similar in some respects to the Modernist position. Younger scientists and secularists—including Rationalists such as H. G. Wells and the Marxists—tended to oppose these efforts, as did conservative Christians, who saw the liberal position as a betrayal of the true spirit of their religion. With the increased social tensions of the 1930s, as the churches moved toward a neo-orthodoxy unfriendly to natural theology and biologists adopted the "Modern Synthesis" of genetics and evolutionary theory, the proposed reconciliation fell apart. Because the tensions between science and religion—and efforts at reconciling the two—are still very much with us today, Bowler's book will be important for everyone interested in these issues. Contents: Illustrations Preface Introduction: A Legacy of Conflict? Confrontation, Cooperation, or Coexistence? Victorian Background Science and Religion in the New Century Part One: The Sciences and Religion 1. The Religion of Scientists Changing Patterns of Belief Scientists and Christianity Scientists and Theism Method and Meaning Science and Values 2. Scientists against Superstition Science and Rationalism Religion without Revelation Marxists and Other Radicals Science, Religion, and the History of Science 3. Physics and Cosmology Ether and Spirit The New Physics The Earth and the Universe 4. Evolution and the New Natural Theology Science and Creation Evolution and Progress The Role of Lamarckism Darwinism Revived 5. Matter, Life, and Mind The Origin of Life Vitalism and Organicism Mind and Body Psychology and Religion Part Two: The Churches and Science 6. The Churches in the New Century The Challenge of the New The Churches’ Response 7. The New Theology in the Free Churches Precursors of the New Theology Campbell and the New Theology Modernism in the Free Churches 8. Anglican Modernism Modernism and the New Natural Theology Charles F. D’Arcy E. W. Barnes W. R. Inge Charles Raven 9. The Reaction against Modernism Evangelicals against Evolution Liberal Catholicism The Menace of the New Psychology Science and Modern Life Theology in the Thirties Roman Catholicism Part Three: The Wider Debate 10. Science and Secularism Against Idealism Popular Rationalism The Social Reformers 11. Religion’s Defenders From Idealism to Spiritualism Creative and Emergent Evolution Evolution and the Human Spirit Progress through Struggle The Christian Response Epilogue Biographical Appendix Bibliography Index. (shrink)

Leitch speaks of his procedure with my work as employing an "abrupt asyndetic format" and as being "a metonymic montage in which themes and citations are playfully and copiously combined." One form of this playfulness is the panoply of figures he uses to describe me and my criticism. The need to use figures for this is interesting, as is their incoherence, though the figures can be shown to fall into a rough antithetical pattern. At one moment the deconstructive critic is (...) a fairy godmother able to turn the pumpkin of the Western tradition into a phantasmal coach. He is a magician or wizard who shows that things are not what they have seemed with the great texts of our tradition or who turns them into something other than what they have seemed solidly to be, pragmatic pumpkins, unequivocally there. At the next moment the deconstructer is a disco dancer, moving sideways in the "lateral dance of interpretation" . The more or less benign fairy godmother and dancer then turns into a "nihilistic magician - who dances demonically upon the broken and scattered fragments of the Western tradition." He becomes a ferocious shaman, "Ravening, raging, and uprooting that he may come/Into the desolation of reality" . He is "a bull-deconstructer loose in the china shop of Western tradition" . In the next moment the bull metamorphoses into a lamb, as Leitch realizes the conservative aspects of deconstruction, the way it claims to be rescuing and preserving aspects of our culture which have always been there, both in literary and philosophical works and in the techniques of interpreting them. The same point is made more sharply and critically by William E. Cain in another recent essay on my work . In the final paragraph of his essay, Leitch has fun inventing permutations of an image of sand in the salad from one of my essays. Will deconstruction sandblast the whole shebang, or will the alien grain of sand turn into a pearl of price? J. Hillis Miller is Frederick W. Hilles Professor of English at Yale. His previous contributions to Critical Inquiry are "Ariadne's Thread: Repetition and the Narrative Line" and "The Critic as Host". (shrink)

Limits to Action: The Allocation of Individual Behavior presents the ideas and methods in the study of how individual organisms allocate their limited time and energy and the consequences of such allocation. The book is a survey of individual resource allocation, emphasizing the relationships of the concepts of utility, reinforcement, and Darwinian fitness. The chapters are arranged beginning with plants and general evolutionary considerations, through animal behavior in nature and laboratory, and ending with human behavior in suburb and institution. Topics (...) discussed include operant conditioning; the principle of diminishing returns; and issues in relation to mating strategies. Biologists, sociologists, economists, and psychologists will find the book interesting. (shrink)

Manuscript Add. 3965, section 13, folios 541r–542r and 545r–546r is in the Portsmouth Collection of manuscripts and housed in the University Library, Cambridge. These drafts contain a careful account, in Newton's hand, of his views on place, time, and God. They are part of a large number of drafts relating to the three official editions of the Principia published in Newton's lifetime.