This book offers an introduction to the Sophists of fifth-century Athens and a new overall interpretation of their thought. Since Plato first animadverted on their activities, the Sophists have commonly been presented as little better than intellectual mountebanks - a picture which Professor Kerferd forcefully challenges here. Interpreting the evidence with care, he shows them to have been part of an exciting and historically crucial intellectual movement. At the centre of their teaching was a form of relativism, most famously expressed (...) by Protagoras as 'Man is the measure of all things', and which they developed in a wide range of views - on knowledge and argument, virtue, government, society, and the gods. On all these subjects the Sophists did far more than simply provoke Plato to thought. Their contributions were substantial and serious; they inaugurated the debate on many central philosophical questions and decisively shifted the focus of philosophical attention from the cosmos to man. (shrink)

In these two volumes, David P. Levine undertakes the systematic clarification and further development of the theoretical contributions of classical political economy. It focuses on such central issues in economic theory as: * need, value and exchange * capital and its production * the concept of labour * growth * the firm * price determination. Throughout the treatment is at a high level of abstraction.

The argument of this paper rests on the distinction between two types of what are, loosely speaking, logical claims: A general (speaker-independent) claim that some favoured principle of inference is both truth-preserving, and consistent with certain others. A claim by a particular speaker that he/she has reasonable deductive grounds for concluding that some particular statement is true. The first is a matter of pure logic—a question of what (allegedly) follows from what. The second is a matter of epistemic logic—a question (...) of whether someone has, or more generally, whether there are, reasonable deductive grounds for concluding that something is the case. I shall argue that this distinction has a crucial bearing on the disagreement between classical logicians and non-classical logicians, which is essentially a disagreement about inferential behaviour. The argument is laid out in a manner designed to maximise the chances of any errors being detected. The paper concludes with some considerations of the relevance of relevant logic to the psychologist investigating inference behaviour. (shrink)

Anselm: I agreed that Pegasus is a flying horse according to the stories people tell, the paintings painters paint and so on . That is, Pegasus is a flying horse in the understanding of storytellers, their readers and the artists who depict Pegasus. You asked whether flying is not an unmediated causal power . Well, it could be an unmediated causal power if you or I had it, but not if a being with only mediated powers had it. And so (...) poor Pegasus, a being whose powers are only those given him by storytellers and artists, has only the mediated power of flying that they have given him. He flies in the thoughts and depictions of beings with unmediated powers. Still, Pegasus has not only the mediated power to fly but also the mediated power to entertain us, and perhaps even inspire us. Fool: But people could tell stories about you, too, about how you sprouted wings and flew onto the roof of Canterbury Cathedral. Anselm: Alas, if it were only in stories that I could do that, then flying would not be an unmediated causal power of mine. I would still have unmediated causal powers all right, and so would be greater than Pegasus. But flying is not one of my unmediated causal powers. However, something than which nothing greater can be conceived would, and does, as I have proved in my Proslogion, have unmediated causal powers – indeed, much greater unmediated causal powers than any poor mortals like you and me.1 •↵1 For …. (shrink)

The problem of finding irreducible representations of a simple Lie group that decompose into just pure replications of a representation of a subgroup is considered. Replications involving tensor representations of the orthogonal groups are studied in detail using counting groups whose representation dimensions correspond to branching multiplicities. Replications involving spinor and mixed tensor representations are briefly considered.