Equality1 gives rise to challenging questions which are not altogether easy to answer. Is it a relation? A relation between objects, or between names or signs of objects? In my Begriffsschrift I assumed the latter. The reasons which seem to favour this are the following: a = a and a = b are obviously statements of differing cognitive value; a = a holds a priori and, according to Kant, is to be labeled analytic, while statements of the form a = (...) b often contain very valuable extensions of our knowledge and cannot always be established a priori. The discovery that the rising sun is not new every morning, but always the same, was one of the most fertile astronomical discoveries. Even to-day the identification of a small planet or a comet is not always a matter of course. Now if we were to regard equality as a relation between that which the names ‘a’ and ‘b’ designate, it would seem that a = b could not differ from a = a (i.e. provided a = b is true). A relation would thereby be expressed of a thing to itself, and indeed one in which each thing stands to itself but to no other thing. What is intended to be said by a = b seems to be that the signs or names ‘a’ and ‘b’ designate the same thing, so that those signs themselves would be under discussion; a relation between them would be asserted. But this relation would hold between the names or signs only in so far as they named or designated something. It would be mediated by the connexion of each of the two signs with the same designated thing. But this is arbitrary. Nobody can be forbidden to use any arbitrarily producible event or object as a sign for something. In that case the sentence a = b would no longer refer to the subject matter, but only to its mode of designation; we would express no proper knowledge by its means. But in many cases this is just what we want to do. If the sign ‘a’ is distinguished from the sign ‘b’ only as object (here, by means of its shape), not as sign (i.e. not by the manner in which it designates something), the cognitive value of a = a becomes essentially equal to that of a = b, provided a = b is true.. (shrink)

The third volume of Professor Guthrie's great history of Greek thought, entitled The Fifth-Century Enlightenment, deals in two parts with the Sophists and Socrates, the key figures in the dramatic and fundamental shift of philosophical interest from the physical universe to man. Each of these parts is now available as a paperback with the text, bibliography and indexes amended where necessary so that each part is self-contained. The Sophists assesses the contribution of individuals like Protagoras, Gorgias and Hippias to the (...) extraordinary intellectual and moral fermant in fifth-century Athens. They questioned the bases of morality, religion and organized society itself and the nature of knowledge and language; they initiated a whole series of important and continuing debates, and they provoked Socrates and Plato to a major restatement and defence of traditional values. (shrink)

ARISTOTLE'S PROGRAM Aristotle says outright that the law of non-contradiction cannot be demonstrated: you can't prove everything, and among the things you ...

The purpose of this book is to trace the main developments in Greek philosophy during the period which runs from the death of Alexander the Great in 323 B.c. to the end of the Roman Republic. These three centuries, known to us as the Hellenistic Age, witnessed a vast expansion of Greek civilization eastwards, following Alexander's conquests; and later, Greek civilization penetrated deeply into the western Mediterranean world assisted by the political conquerors of Greece, the Romans. But philosophy throughout this (...) time remained a predominantly Greek activity. The most influential thinkers in the Hellenistic world were Stoics, Epicureans and Sceptics. This book gives a concise critical analysis of their ideas and their methods of thought. The last book in English to cover this ground was written sixty years ago. In the interval the subject has moved on, quite rapidly since the last war, but most of the best work is highly specialized. There is a clear need for a general appraisal of Hellenistic philosophy which can provide those who are not specialists with an up-to-date account of the subject. Hellenistic philosophy is often regarded as a dull product of second-rate thinkers who are unable to stand comparison with Plato and Aristotle. This book will help to remove such misconceptions and arouse wider interest in a field which is fascinating both historically and conceptually. (shrink)

The sorites paradox is the name given to a class of paradoxical arguments, also known as little by little arguments, which arise as a result of the indeterminacy surrounding limits of application of the predicates involved. For example, the concept of a heap appears to lack sharp boundaries and, as a consequence of the subsequent indeterminacy surrounding the extension of the predicate ‘is a heap’, no one grain of wheat can be identified as making the difference between being a heap (...) and not being a heap. Given then that one grain of wheat does not make a heap, it would seem to follow that two do not, thus three do not, and so on. In the end it would appear that no amount of wheat can make a heap. We are faced with paradox since from apparently true premises by seemingly uncontroversial reasoning we arrive at an apparently false conclusion. (shrink)

A formal theory of truth, alternative to tarski's 'orthodox' theory, based on truth-value gaps, is presented. the theory is proposed as a fairly plausible model for natural language and as one which allows rigorous definitions to be given for various intuitive concepts, such as those of 'grounded' and 'paradoxical' sentences.

Diese 1896 begründete Reihe erfasst seltene griechische und lateinische Texte mit Übersetzungen und Kommentaren sowie ausführliche Einleitungen und macht sie einem weiteren wissenschaftlichen Publikum zugänglich. Als Schwerpunkt der Reihe gilt seit 2000 "Homers Ilias. Gesamtkommentar"; hier wird Homers Ilias im Text (von M. L. West) mit Übersetzung (von J. Latacz) und mit Kommentar in deutscher Sprache geboten.

Presents a new interpretation of Aristotle's Analytics (the Prior and Posterior Analytics) as a unified whole, and argues that to "loose up" or solve—rather than to reduce or break up—is the principle meaning which best characterizes the Analytics.

It is a standing temptation for philosophers to find anticipations of their own views in the great thinkers of the past, but few have been so bold in the search for precursors, and so utterly mistaken, as Berkeley when he claimed Plato and Aristotle as allies to his immaterialist idealism. InSiris: A Chain of Philosophical Reflexions and Inquiries Concerning the Virtues of Tar-Water, which Berkeley published in his old age in 1744, he reviews the leading philosophies of antiquity and finds (...) them on the whole a good deal more sympathetic to his own ideas than the ‘modern atheism’, as he calls it, of Hobbes and Spinoza or the objectionable principles of ‘the mechanic and geometrical philosophers’ such as Newton. But his strongest and, I think, his most interesting claim is that neither Plato nor Aristotle admitted ‘an absolute actual existence of sensible or corporeal things’. (shrink)

In most areas of human endeavor, bluffing is an easy way of getting by -- a method of artificially appearing knowledgeable. The Bluffer's Guides are a three million-copy best-selling series of snappy little books containing facts, jargon, and inside information -- all that readers need to know to hold their own among the experts.

A lavishly decorated handbook of medicine was conceived for the lay public on topics such as human health, healing, medicine, and household management.

The idea that Western philosophy is a footnote to Plato is simplistic and inaccurate. Much of modern and contemporary epistemology owes a debt not so much to Platonism or Aristotelianism as to their antithesis: scepticism. Recent discussions in the history of philosophy have sparked a great deal of interest in the ancient sceptics, but until now they have been misunderstood and the significance of their philosophy not fully appreciated.