In this manuscript, published here for the first time, Tarski explores the concept of logical notion. He draws on Klein's Erlanger Programm to locate the logical notions of ordinary geometry as those invariant under all transformations of space. Generalizing, he explicates the concept of logical notion of an arbitrary discipline.

In this paper, I argue that the concept of ecstasy (Ekstase), which Schelling elaborates on starting from the Erlanger Vorträge, is his response to Hegel’s famous «shot from a pistol». With this concept, Schelling overcomes the notion of «intellectual intuition», which was at the core of Hegel’s critics, and can now conceive the preeminence of existence (in the sense of Freudigkeit der Existenz) over Being (Sein). Thus, the theory of ecstasy puts Schelling beyond German Idealism and, under some aspects, (...) allows for a post-Heideggerian reading of his philosophy. (shrink)

This is a study of J.G. Fichte’s philosophy of mathematics and theory of geometry. It investigates both the external, formal & internal, cognitive parallels between the axioms, intuitions and constructions of geometry and the scientific methodology of the Fichtean system of philosophy. In contrast to 'ordinary' Euclidean geometry, in his Erlanger Logik of 1805 Fichte posits a model of an 'ursprüngliche' or original geometry. – That is to say, a synthetic and constructivistic conception of geometry grounded in ideal archetypal (...) elements that are grasped through geometrical or intelligible intuition. -/- Accordingly, this study classifies Fichte’s philosophy of mathematics as a whole as a species of mathematical Platonism or neo-Platonism, and concludes that the Wissenschaftslehre itself may be read as an attempt at a new philosophical mathesis, or a “mathesis of the mind.” -/- . (shrink)