This essay explores an ideal notion of form (mathematical structure) that embraces logical, phenomenological, and ontological form. Husserl envisioned a correlation among forms of expression, thought, meaning, and object—positing ideal forms on all these levels. The most puzzling formal entities Husserl discussed were those he called ‘manifolds’. These manifolds, I propose, are forms of complex states of affairs or partial possible worlds representable by forms of theories (compare structuralism). Accordingly, I sketch an intentionality-based semantics correlating these four Husserlian levels of (...) form—thereby integrating logic, phenomenology, and ontology. (shrink)

Few have entertained the idea that Georg Cantor, the creator of set theory, might have influenced Edmund Husserl, the founder of the phenomenological movement. Yet an exchange of ideas took place between them when Cantor was at the height of his creative powers and Husserl in the throes of an intellectual struggle during which his ideas were particularly malleable and changed considerably and definitively. Here their writings are examined to show how Husserl's and Cantor's ideas overlapped and crisscrossed in the (...) areas of philosophy and mathematics, arithmetization, abstraction, consciousness and pure logic, psychologism, metaphysical idealism, new numbers, and sets and manifolds. (shrink)

This investigation is a historical review of twentieth-century analytical philosophy in England. In seven chapters, the intellectual development of its most prominent representatives - Moore, Russell, Wittgenstein, Ryle, Austin, Strawson, Dummett - is traced. The book does not however aim to tell a story. Instead, it offers synopses of the main philosophical texts of these seven philosophers. The chief reason for adopting this approach was the wish to first of all cover as many of the problems discussed by them as (...) possible, and secondly to view these problems in juxtaposition. The study was thus conceived as a comprehensive and most objective review of the history of analytical philosophy as practised in England. The hope is that it will serve as a reference book covering all the central problems discussed by these seven authors. (shrink)

How, as Caldwell puts it, does one choose between rival systems all of which claim to rest on a priori foundations? On the nonfallibilistic conception it is difficult to make sense even of the possibility of rival systems of this sort. On the conception here defended, in contrast, the existence of such rival systems can be seen to be a perfectly natural and acceptable consequence of the just-mentioned difficulties we will often fact in coming to know even the intelligible traits (...) of reality: one adjudicates between such systems in the same way in which one adjudicates between all rival scientific hypotheses, namely via a complex mixture of empirical and a priori considerations. (shrink)

In the Tractatus Wittgenstein often uses graphic metaphors: a ladder, which is to be thrown away after it has been climbed; pictures with feelers; networks with fine square meshes. Although they are illuminating, it is not always clear in exactly what sense Wittgenstein employs them. In this paper, we will try to eliminate this fuzziness with respect to the concept of scaffolding (Gerüst).