This article focusses on the generality of the entities involved in a geometric proof of the kind found in ancient Greek treatises: it shows that the standard modern translation of Greek mathematical propositions falsifies crucial syntactical elements, and employs an incorrect conception of the denotative letters in a Greek geometric proof; epigraphic evidence is adduced to show that these denotative letters are ‘letter-labels’. On this basis, the article explores the consequences of seeing that a Greek mathematical proposition is fully general, (...) and the ontological commitments underlying the stylistic practice. (shrink)

Arthur Danto has made important contributions to both aesthetics and philosophy of history. Furthermore, as I shall try to show in this essay, his aesthetics is of great relevance to his philosophy of history, while his philosophy of history is of no less interest for his aesthetics.By focusing on the notions of representation, identity, and the identity of indiscernibles we shall discover how fruitful this cooperation of aesthetics and philosophy of history may be. Crucial to all historical writing and, hence, (...) to all philosophy of history, is the notion of identity through time and change. How could the historian write the history of x if x cannot be said to remain the same in the course of its history? It will become clear that aesthetics will provide us with a satisfactory solution for the problem, for the aestheticist notion of representation will enable us to define the notion of identity that the historian needs.Nevertheless, a certain friction can be observed between Danto's aesthetics and his philosophy of history. At the end of this essay I hope to show that Danto's philosophy of history will be our best guide to dealing adequately with this friction. (shrink)

Interdisciplinary dialogue with contemporary sciences question the coherence and plausibility of many traditional Christological formulations. This book attempts to show that engaging in this interdisciplinary endeavour is both possible and promising.

This chapter contains sections titled: Introduction Origins of the Contemporary Debate Historiographic Research and Writing Two Variants of Narrativist Philosophy of Historiography The Philosophical Approach The Transcendentalization of Narrativist Philosophy of Historiography Rhetorical Narrativist Philosophy Hayden White Conclusion Bibliography.

This paper considers papers on conceptual analysis by Laudan (1981) and Whitt (1989) and relates them to three biochemical episodes: (1) the modern 'biochemical explanation' of acupuncture; (2) the chemio-osmotic hypothesis of oxidative phosphorylation; (3) the theory of the complete digestion of proteins in the gut. The advantages of including philosophical debate in chemical/biochemical undergraduate courses is then discussed.

We initiate the study of computable presentations of real and complex C*-algebras under the program of effective metric structure theory. With the group situation as a model, we develop corresponding notions of recursive presentations and word problems for C*-algebras, and show some analogous results hold in this setting. Famously, every finitely generated group with a computable presentation is computably categorical, but we provide a counterexample in the case of C*-algebras. On the other hand, we show every finite-dimensional C*-algebra is computably (...) categorical. (shrink)