Role of the entrepreneur in a distinct role of profit.

Nietzsche's opinions on philosophy and aesthetics developed under strong and lasting impulses from classical antiquity. These were not always the same, for at various periods in his life Nietzsche placed Heraclitus, Empedocles, Aeschylus, and even Socrates and Plato on the highest summit of wisdom. In his so-called first stage of development the pre-Socratics were generally his favourite thinkers, and in the third and last stage these same figures tend to come into prominence again. On the other hand, in the works (...) of Nietzsche's second, rationalistic period, when he was particularly influenced by Comte, Voltaire, and Darwin, Socrates and Plato—usually so hated and despised—are mentioned with affection, with gratitude or even with warm enthusiasm; and so, over and over again, is Epicurus. (shrink)

§0. Introduction. In [16], Barwise described his graduate study at Stanford. He told of his interactions with Kreisel and Scott, and said how he chose Feferman as his advisor. He began working on admissible fragments of infinitary logic after reading and giving seminar talks on two Ph.D. theses which had recently been completed: that of Lopez-Escobar, at Berkeley, on infinitary logic [46], and that of Platek [58], at Stanford, on admissible sets.Barwise's work on infinitary logic and admissible sets is described (...) in his thesis [4], the book [13], and papers [5]—[16]. We do not try to give a systematic review of these papers. Instead, our goal is to give a coherent introduction to infinitary logic and admissible sets. We describe results of Barwise, of course, because he did so much. In addition, we mention some more recent work, to indicate the current importance of Barwise's ideas. Many of the central results are stated without proof, but occasionally we sketch a proof, to indicate how the ideas fit together.Chapters 1 and 2 describe infinitary logic and admissible sets at the time Barwise began his work, circa 1965. From Chapter 3 on, we survey the developments that took place after Barwise appeared on the scene.§1. Background on infinitary logic. In this chapter, we describe the situation in infinitary logic at the time that Barwise began his work. We need some terminology. By a vocabulary, we mean a set L of constant symbols, and relation and operation symbols with finitely many argument places. As usual, by an L-structureM, we mean a universe set M with an interpretation for each symbol of L. (shrink)

No trait is more characteristic of contemporary philosophy in France than its continued fecundation by the physical and biological sciences. The divorce between philosophy and science that existed in the first half of last century is now regarded, by almost common consent, as an error of the great pre-war Unenlightenment. The ménage is rémonté ; the vieilles traditions of Descartes and Pascal live again, though very transfigured. How long the alliance may endure, how and how much it may benefit both (...) parties, it would be idle to prophesy. But it is significant that Boutroux and Bergson were compelled to devote much energy to acquiring a scientific competence, the one in mechanics, the other in biology. It is still more significant that a number of professional scientists should, with the passing of years, have contributed less to their sciences and increasingly to philosophy. This mutual invasion of territories has, indeed, become so considerable and enduring that philosophy in France is at present, for good or ill, almost wholly ‘philosophy of the sciences.’ It is now within this ‘internationalized’ neutral zone that the distinction between the epistemological and the ontological has to be drawn. Thus, Meyerson fairly represents the former emphasis, Bergson and Le Roy the latter. And if it is rare for one man to hold successively a chair in mathematics and a chair in philosophy, like Milhaud and Whitehead, rarer still is it for one man to hold both concurrently. But M. Edouard Le Roy has for many years lectured on mathematics and mechanics at the Faculte des Sciences in Paris; he has extended and modified Bergsonism from Bergson's former chair at the College de France. (shrink)