One of the characteristic features of contemporary logic is that it incorporates the Frege‐Russell thesis according to which verbs for being are multiply ambiguous. This thesis was not accepted before the nineteenth century. In Aristotle existence could not serve alone as a predicate term. However, it could be a part of the force of the predicate term, depending on the context. For Kant existence could not even be a part of the force of the predicate term. Hence, after Kant, existence (...) was left homeless. It found a home in the algebra of logic in which the operators corresponding to universal and particular judgments were treated as duals, and universal judgments were taken to be relative to some universe of discourse. Because of the duality, existential quantifier expressions came to express existence. The orphaned notion of existence thus found a new home in the existential quantifier. (shrink)

This chapter begins with a discussion of Herbart's theory of the structures of thought. It then discusses Drobisch's formal philosophy, Hegel's dialectical logic, Trendelenburg's logical investigations, and Herbartian and Hegelian reactions to the criticism.

This volume is based on papers presented at the XV Internordic Philosophical Symposium in Helsinki in May, 2004. It covers a number of important and timely philosophical issues: naturalism - its strengths, weaknesses, and limits - in metaphysics, epistemology, and the philosophy of science; the relation between philosophical and scientific methodology; the ethics of science and, more generally, the place of science in society; the relation between the natural sciences and the humanities; as well as the ways in which scientific (...) progress may challenge traditional philosophical concepts and problems and, on the other hand, the ways in which philosophical arguments and/or artistic innovations - or philosophical interpretations of them - may challenge some claims made in the name of science. In addition to several Scandinavian authors, a number of leading philosophers from outside the Nordic countries are among the contributors to this volume. This collection of original articles thus contributes to the current lively philosophical debates on the relations between science, philosophy, and society. (shrink)

Many historians and philosophers of logic have claimed that during the modern classical era there was a long period of stagnation or even of decline in the field of logic. The aim of this paper is to convince the audience that this standard evaluation of the development of modern logic during the period from Leibniz to Frege is misdirected and needs to be corrected. Even though it is true that the now usual way of understanding logic merely as the doctrine (...) of syntax and semantics of explicit languages would not have appealed even to most 19th century logicians, it is still not the case that there is nothing worth discussing with regard to the development of logic during the modern classical period. The algebraic period culminated with Schroder's contribution and neither Herbartian formal logic nor Trendelenburg's critical epistemology aroused much interest among the 20th century mathematical logicians and analytic philosophers. Nevertheless, the development of symbolic logic can only be understood properly by relating its emergence to the immediately preceding philosophically-oriented discussion about the reform of logic. (shrink)

Many historians and philosophers of logic have claimed that during the modern classical era there was a long period of stagnation or even of decline in the field of logic. The aim of this paper is to convince the audience that this standard evaluation of the development of modern logic during the period from Leibniz to Frege is misdirected and needs to be corrected. Even though it is true that the now usual way of understanding logic merely as the doctrine (...) of syntax and semantics of explicit languages would not have appealed even to most 19th century logicians, it is still not the case that there is nothing worth discussing with regard to the development of logic during the modern classical period. The algebraic period culminated with Schroder's contribution and neither Herbartian formal logic nor Trendelenburg's critical epistemology aroused much interest among the 20th century mathematical logicians and analytic philosophers. Nevertheless, the development of symbolic logic can only be understood properly by relating its emergence to the immediately preceding philosophically-oriented discussion about the reform of logic. (shrink)