The recent speculation which I have in view is that which finds its inspiration in the great development of scientific discovery and scientific thought in our day. It would be impossible to range over the whole field. Moreover, the efforts which have been made to frame a comprehensive scheme of thought on the foundation supplied by science are those which are truly characteristic of our time. In recent years, science has been passing beyond the experimental stage, and also beyond the (...) limits which, in former times, made it departmental. The great conception of Evolution, and the intimate linking up of astronomy with chemistry and physics, and of chemistry and physics with physiology and biology, have quite altered our outlook on the universe. The mind of to-day passes from space-time to the electron, and from the electron to the structure of the cell, and from the cell to the living organism, with hardly a jolt. Not that the problems which mark the passage from stage to stage in this series have been solved, far from it; but that the different tages have so much the appearance of closing up into one continuous process that we seem to be approaching a view which will regard the whole as one unbroken development. No wonder that philosophic minds, among students and dreamers speculating on the mystery of the Universe, begin to think that some account of it, based on assured results of science, is becoming possible. (shrink)

This book collects texts from three specialists in ancient philosophy which deal with the question of perceptive and intellective knowledge in antiquity. They try to present, in their different analyzes, the complex interrelationship among perception and thought in ancient authors, like Heraclitus, Parmenides, Democritus, Plato and Aristotle. The purpose of the texts is to expose the visible field - the perceptual knowledge domain - interacts with the invisible - the domain of reason and thought. In other words, that among them (...) there is no a radical separation of these two areas, although they are clearly distinct. (shrink)

We present a general derivation of the Duffin-Kemmer-Petiau (D.K.P) equation on the relativistic phase space proposed by Bohm and Hiley. We consider geometric algebras and the idea of algebraic spinors due to Riesz and Cartan. The generators βμ (p) of the D.K.P algebras are constructed in the standard fashion used to construct Clifford algebras out of bilinear forms. Free D.K.P particles and D.K.P particles in a prescribed external electromagnetic field are analized and general Liouville type equations for these cases are (...) obtained. Choosing particular values for the label p we classify the different types of the D.K.P Liouville operators. (shrink)