I Introduction: Philosophy and Social Science Men "know," but they no longer are so certain that their knowledge will not be rearranged. ...

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)

This addendum non-trivially strengthens one of the six claims of my two-part paper 'The Equivalence Myth of Quantum Mechanics', published in this journal in 1997.

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.

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.

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)

The paper shows that, contrary to what has been held since the sixteenth-century mathematician Christoph Clavius, there is no application of consequentia mirabilis (CM) in Greek mathematical works. This is shown by means of a detailed discussion of the logical structure of the proofs where CM is allegedly employed. The point is further enlarged to a critical assessment of the unsound methodology applied by many interpreters in seeking for specific logical rules at work in ancient mathematical texts.

Professor Iggers's main target in his critique of my essay is my preference for the historicist over the Enlightenment conception of the past. I agree with Iggers that in contemporary historical theory and contemporary philosophy of language many effective arguments against historicism can be found. I argue, however, that these arguments lose much of their cogency if we recognize that the historicist notion of "the historical idea" can be redefined to satisfy both the requirements of actual historical practice and contemporary (...) philosophy of language. The main task of the contempo- rary theoretician is not to reject historicism but to recognize and to discover its intellectual riches, and to repair it whenever and wherever necessary. (shrink)

The point of departure of this essay is a paradox in traditional conceptions of historical objectivity. This paradox can best be analyzed in terms of the notion of the “double bind”: the requirement of historical objectivity is formulated in such a way that it is impossible to satisfy the requirement. The substance of this essay is an investigation of how J. M. Coetzee deals with the moral impasses of this double bind in his most recent novel, Elizabeth Costello . In (...) essence Coetzee forces his way through the double bind by an appeal to a direct experience of the world. The Spinozism implied by this strategy is indicated at the end of the essay. The analysis of Coetzee’s novel is preceded by a discussion of Kafka’s “Before the Law,” since the relevant part of Coetzee’s novel clearly is a paraphrase of the Kafka parable. Moreover, insight into the textual double binds in the Kafka parable contributes to an understanding of the moral double binds that are addressed in Elizabeth Costello. (shrink)