EXISTENTIALISM IN PHILOSOPHICAL LOGIC IS THE DOCTRINE THAT STATES OF AFFAIRS, PROPOSITIONS AND PROPERTIES INVOLVING OBJECTS INCLUDE THESE OBJECTS AS DIRECT CONSTITUENTS IN AT LEAST THE SENSE THAT THE NONEXISTENCE IN A WORLD w OF SOCRATES, SAY, IMPLIES THE NONEXISTENCE IN w OF SOCRATES' BEING SNUB-NOSED. JOHN POLLOCK HAS RECENTLY ARGUED (IN "THE FOUNDATIONS OF PHILOSOPHICAL SEMANTICS") THAT SUCH AN EXISTENTIALISM HARBOURS AN INCONSISTENCY. THE PRESENT PAPER REBUTS POLLOCK'S ARGUMENT BY ARGUING THAT IT DEPENDS ON A CHARACTERIZATION OF EXISTENTIALISM THAT (...) EXISTENTIALISTS HAVE NO REASON TO ACCEPT, AND, INDEED, GOOD REASON TO REJECT. (shrink)

Let g E(m, n)=o mean that n is the Gödel-number of the shortest derivation from E of an equation of the form (m)=k. Hao Wang suggests that the condition for general recursiveness mn(g E(m, n)=o) can be proved constructively if one can find a speedfunction s s, with s(m) bounding the number of steps for getting a value of (m), such that mn s(m) s.t. g E(m, n)=o. This idea, he thinks, yields a constructivist notion of an effectively computable function, (...) one that doesn't get us into a vicious circle since we intuitively know, to begin with, that certain proofs are constructive and certain functions effectively computable. This paper gives a broad possibility proof for the existence of such classes of effectively computable functions, with Wang's idea of effective computability generalized along a number of dimensions. (shrink)

Originally published in 1830, this book can be called the first modern work in the philosophy of science, covering an extraordinary range of philosophical, methodological, and scientific subjects. "Herschel's book . . . brilliantly analyzes both the history and nature of science."—Keith Stewart Thomson, American Scientist.

Traduçáo do original alemáo: Schelling, F. W. J. "Einleitung zu dem Entwurf eines Systems der Naturphilosophie oder über den Begriff der speculativen Physik und die innere Organisation eines Systems dieser Wissenschaft". In: Schelling, K. F. A. (Org.). Sämmtliche Werke. 14 Bdn. 1 Abt. I-X; 2 Abt. I-IV, Stuttgart/Augsburg: Cota, 1856-1861.

A new English translation of Schelling’s unfinished magnum opus, complete with a contextualizing introduction by the translator.

On the History of Modern Philosophy is a key transitional text in the history of European philosophy. In it, F. W. J. Schelling surveys philosophy from Descartes to German Idealism and shows why the Idealist project is ultimately doomed to failure. The lectures trace the path of philosophy from Descartes through Spinoza, Leibniz, Kant, Fichte, Jacobi, to Hegel and Schelling's own work. The extensive critiques of Hegel prefigure many of the arguments to be found in Feuerbach, Kierkegaard, Marx, Nietzsche, Heidegger, (...) and Derrida. This is the first English translation of On the History of Modern Philosophy. In his introduction Andrew Bowie sets the work in the context of Schelling's career and clarifies its philosophical issues. The translation will be of special interest to philosophers, intellectual historians, literary theorists, and theologians. (shrink)

For 20th century mathematicians, the role of Cantor's sets has been that of the ideally featureless canvases on which all needed algebraic and geometrical structures can be painted. (Certain passages in Cantor's writings refer to this role.) Clearly, the resulting contradication, 'the points of such sets are distinc yet indistinguishable', should not lead to inconsistency. Indeed, the productive nature of this dialectic is made explicit by a method fruitful in other parts of mathematics (see 'Adjointness in Foundations', Dialectia 1969). This (...) role of Cantor's theory is compared with the role of Galois theory in algebraic geometry. (shrink)

Schelling's first systematic attempt to articulate a complete philosophy of nature.

An adamant fan of Darwin, F.W. Headley attempts to argue the difficulties of believing in Socialism and Darwinism simultaneously and highlights issues which could prevent Socialism from being put into practice. Originally published in 1909, this study uses examples of communities in countries such as England and India to illustrate Headley’s key belief that societies only function well if they do not interfere with the fight for existence and natural selection. This title will be of interest to students of Philosophy, (...) Sociology and Anthropology. (shrink)

Originally published in 1920 as part of a series of handbooks for teachers, this book of advice to history teachers is still full of practical information on the use of historical sources and possible classroom exercises designed to engage children with the study of the past. This book will be useful to anyone with an interest in the history of education, historical education in particular.