Gary Kemp defends Realist approaches to the paradox of analysis. Other, prima facie equally viable approaches to this problem are the Nominalist one of Langford and Camap and the Conceptualist one of Prior and Stalnaker. In the context of a fuller survey focus is set on the realist attempt. This puts one in a better position to arbitrate between these approaches and give a more final assessment of the realist one, including an assessment of Kemp's defence of it. The Conceptualist (...) one, as it turns out, triumphs over the others, and is the basis for a Wittgensteinian vie w of the a priori which is analyzed in the second part of the paper. (shrink)

Gary Kemp defends Realist approaches to the paradox of analysis. Other, prima facie equally viable approaches to this problem are the Nominalist one of Langford and Camap and the Conceptualist one of Prior and Stalnaker. In the context of a fuller survey focus is set on the realist attempt. This puts one in a better position to arbitrate between these approaches and give a more final assessment of the realist one, including an assessment of Kemp's defence of it. The Conceptualist (...) one, as it turns out, triumphs over the others, and is the basis for a Wittgensteinian vie w of the a priori which is analyzed in the second part of the paper. (shrink)

H.B.G. Casimir's life, interests and works are intertwined with the important developments that have taken place in physics during this century. This book was compiled by his friends and admirers in honour of his 80th birthday and concentrates mainly on Casimir's achievements in the field of physics, though without ignoring the peripheral areas of the history and philosophy of physics in which he was greatly interested. The book is divided into four parts. Part I describes Casimir's teachers, Ehrenfest, Bohr and (...) Pauli, and will be of general interest due to the key role which these physicists played in modern developments. The articles do give new facts and provide new insights into the history of modern physics. Part II consists of essays on recent developments in various areas of physics in which Casimir has taken an active interest, such as the modern concept of time, statistical foundations of electrodynamic theory and field theory. The subjects covered in Part III have been selected because of Casimir's efforts in the industrial research area of physics. They cover past, present and future expectations in research. (shrink)

An outline of the life of Heraclides and his fragmentary writings (on the theory of matter, astronomy, ethical and religious topics) is followed by an attempt to reconstruct his thought. He emerges as not so much a profound thinker as a many-sided writer of considerable literary gifts and occasional flashes of brilliance.

Gotthold Ephraim Lessing, thinker, dramatist and controversialist of many-sided interests, is the most representative figure of the German Enlightenment. His defence of Spinoza, who had traditionally been condemned as an atheist, provoked a major controversy in philosophy, and his publication of H. S. Reimarus' radical assault on Christianity led to fundamental changes in Protestant theology. This volume presents the most comprehensive collection to date in English of Lessing's philosophical and theological writings, several of which are here translated for the first (...) time. They are edited and translated by H. B. Nisbet, who also provides an introduction that sets them in their historical and philosophical contexts. (shrink)

It is proposed in this paper to develop a method by which the most general problem of the algebra of propositions is solved. This problem is to construct all propositions whose truth is independent of the form of the variables. As might be expected this method will enable us to determine without the use of matrices the consistency and independence of propositions, except in the case of those fundamental properties, which taken together define consistency itself. In the discussion which follows (...) no limitations are placed on the meaning of the terms and the word proposition is used simply in the sense of a variable. If we were to say, for example, that our variables must be restricted to zero or one values, we would be introducing a limitation which would reduce the generality of our science. A logic may be false in the sense that its postulates lead to contradictory theorems, or it may be false in the sense that it lacks generality, and the situation is not saved by calling it a two-valued, or a three-valued logic, or a logic of “propositions,” or by designating it by some other euphuism. (shrink)

The Peanese convention for the use of dots as brackets has the disadvantage that it gives only an awkward method for representing chains of indefinite length, such as the compound implicationSuch chains occur frequently in logical investigations of a metatheoretic nature, and it is convenient to have a systematic method of abbreviating them. The most obvious method of doing this would be to leave the parentheses out entirely, and to understand that in such cases the implication sign or other operation (...) appearing on the extreme left is the most inclusive; but this method, which has been followed by Quine, is at variance with our ordinary algebraic usage, in which we write a − b + c − d for ((a − b) + c) − d, and consequently leads to confusion. It is desirable to have a modification of the Peanese convention which gives a simple method of representing such chain implications, and at the same time avoids this difficulty.Such a modification is easily obtained by generalizing somewhat a procedure of Church. The latter author uses only a single dot, which he writes on the right of an operator to signify a bracket extending from that point to the end of the formula (or parenthesized expression). If dots are used only on the right of operations this is all that can be desired. But the essential idea of this device can be extended to the case where dots are used also on the left, as follows: let us suppose that a group of dots on the right of an operation or prefix denotes the beginning of a bracket which extends to the right until it meets a group with an equal or larger number of dots on the left of an operation; and that the scope of a group of dots on the left of an operation shall extend to the left until it reaches a larger group of dots on the right of some operation. (shrink)

In Germany the claim is sometimes made that National Socialism incorporates the best of Plato’s political theory. In this country, too, Bertrand Russell and Mr. R. H. Crossman have emphasized, but with a different intention, the fascist elements in Plato's thought. It has to be admitted that whereas it would be merely laughable to claim that Jesus or Kant were exponents of the fascist philosophy, there is no such glaring incongruity with regard to Plato. It may be of some interest, (...) therefore, to examine anew the alleged likeness between the basic principles of fascism and the thought of Plato. No one would deny a strong likeness between some details of Plato’s. (shrink)