First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method (...) of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge. (shrink)

an der Universität Göttingen gehaltenen Vcwlesung über Hauptstücke aus der Phänomenologie und Theorie der Erkenntnis,l ist annähernd voll­ ständig erhalten; die Blätter des V cwlesungsmanuskripts zur Phänomenologie des inneren Zeitbewußtseins liegen verstreut in den Konvoluten F I 6 und 2 F I 8 des Husserl-Archivs zu Löwen. Allerdings fußt der Erste Teil des Erstdrucks, dessen Bezeichnung als Die Vorlesungen über das innere Zeit­ bewußtsein aus dem Jahre 1905 gleichwohl auch in vcwliegender Neuausgabe beibehalten wurde, nur zum Teil noch, und auch (...) in diesem Teil mit be­ trächtlichen Abweichungen, auf dem Text des ursprünglichen Vcwlesungs­ manuskripts des Jahres I905; und umgekehrt hat nur ein Teil des Textes des ursprünglichen Vcwlesungs-Manuskripts - mit den erwähnten Abwand­ lungen - Eingang in den Ersten Teil des Erstdrucks gefunden. Wo der Text dieses Ersten Teils des Erstdrucks dem des ursprünglichen Vcwlesungs­ manuskripts entspricht, wurde er er mit diesem verglichen, und ollensicht­ liche Irrtümer im Erstdruck wurden berichtigt; in den Textkritischen Anmer­ kungen ist dann mit dem Vermerk nach dem Ms. verbessert die Text­ fassung des Erstdrucks wiedergegeben. Ferner wurde in den Textkritischen Anmerkungen vcwliegender Neuausgabe überall der ursprüngliche und voll­ ständige· Text des Vorlesungsmanuskripts von I905 wiedergegeben, auf dessen Zusammenhang die entsprechenden Teile des Erstdrucks zurückgehen, wo dieser von ienem abweicht. Einige zum V cwlesungsmanuskript gehörige Blätter, deren Text sich iedoch nicht zusammenhängend dem übrigen einfügt, wurden im vcwliegenden Band unter B (S. 135-382) mit abgedruckt. Die 1 Vgl. oben die "Einleitung des Herausgebers", S. XIV-XVII. (shrink)

One of the cornerstone books of Western philosophy, Critique of Pure Reason is Kant's seminal treatise, where he seeks to define the nature of reason itself and builds his own unique system of philosophical thought with an approach known as transcendental idealism. He argues that human knowledge is limited by the capacity for perception and attempts a logical designation of two varieties of knowledge: a posteriori, the knowledge acquired through experience; and a priori, knowledge not derived through experience. This accurate (...) translation by J. M. D. Meiklejohn offers a simple and direct rendering of Kant's work that is suitable for readers at all levels. (shrink)

In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the "Mindscape," where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Here Rucker acquaints us with Gödel's rotating universe, in which it is theoretically possible to travel into the past, and explains an interpretation of quantum mechanics in which billions of parallel worlds are produced every microsecond. It is in the realm of infinity, he (...) maintains, that mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise from this merging, we can learn a great deal about the human mind, its powers, and its limitations. Using cartoons, puzzles, and quotations to enliven his text, Rucker guides us through such topics as the paradoxes of set theory, the possibilities of physical infinities, and the results of Gödel's incompleteness theorems. His personal encounters with Gödel the mathematician and philosopher provide a rare glimpse at genius and reveal what very few mathematicians have dared to admit: the transcendent implications of Platonic realism. (shrink)

This is a book about the philosophy of time, and in particular the philosophy of the great logician Kurt Godel (1906-1978). It evaluates Godel's attempt to show that Einstein has not so much explained time as explained it away. Unlike recent more technical studies, it focuses on the reality of time. The book explores Godel's conception of time, existence, and truth with special reference to Plato, Aristotle, Kant, and Frege. In the light of this investigation an attempt is made to (...) shed light on such issues as the precise sense in which Godel believed in the possibility of time travel, the relationship of the reality of time to the objectivity of temporal becoming, and the significance of time for human existence.This is a book about the philosophy of time, and in particular the philosophy of the great logician Kurt Godel (1906-1978). It evaluates Godel's attempt to show that Einstein has not so much explained time as explained it away. Unlike recent more technical studies, it focuses on the reality of time. The book explores Godel's conception of time, existence, and truth with special reference to Plato, Aristotle, Kant, and Frege. In the light of this investigation an attempt is made to shed light on such issues as the precise sense in which Godel believed in the possibility of time travel, the relationship of the reality of time to the objectivity of temporal becoming, and the significance of time for human existence. (shrink)

Kant was centrally concerned with issues in the philosophy of natural science throughout his career. The Metaphysical Foundations of Natural Science presents his most mature reflections on these themes in the context of both his 'critical' philosophy, presented in the Critique of Pure Reason, and the natural science of his time. This volume presents a new translation, by Michael Friedman, which is especially clear and accurate. There are explanatory notes indicating some of the main connections between the argument of the (...) Metaphysical Foundations and the first Critique - as well as parallel connections to Newton's Principia. The volume is completed by an historical and philosophical introduction and a guide to further reading. (shrink)

In this first extended treatment of his life and work, Hao Wang, who was in close contact with Godel in his last years, brings out the full subtlety of Godel's ideas and their connection with grand themes in the history of mathematics and ...