In this paper, I ponder the question of whether Socrates follows a method of investigation — the method of hypothesis — which he advocates in Plato's Phaedo. The evidence in the dialogue suggests that he does not follow the method, which raises additional questions: If he fails to do so, why does he articulate the method? Does his statement of method affect his actions or is it mainly forgotten? Although Socrates is a fictional character, his actions in the Phaedo suggests (...) questions about the function of espoused methods in actual situations. (shrink)

In recent philosophy of mathematics avariety of writers have presented ``structuralist''views and arguments. There are, however, a number ofsubstantive differences in what their proponents take``structuralism'' to be. In this paper we make explicitthese differences, as well as some underlyingsimilarities and common roots. We thus identifysystematically and in detail, several main variants ofstructuralism, including some not often recognized assuch. As a result the relations between thesevariants, and between the respective problems theyface, become manifest. Throughout our focus is onsemantic and metaphysical issues, (...) including what is orcould be meant by ``structure'' in this connection. (shrink)

John Mackie famously dismissed the rational tenability of moral objectivism with two quick arguments. The second, the so-called “argument from queerness,” proceeds as follows. A commitment to moral objectivism brings with it a commitment to the existence of moral properties as “queer” as Platonic Forms that are apprehended only through occult faculties like so-called “moral intuition” (Mackie 1977, 38). Since we have no reason to believe that there is any faculty such as moral intuition that serves as a reliable Form (...) detector, we equally have no reason to accept moral objectivism (1977, 23–24, 38–41). Recently, Julia Annas has observed that Mackie has offered us “a coarse and imperceptive interpretation of Plato,” in addition to a mistaken account of the epistemic requirements of moral objectivism (2001, 238). But one might worry that the case Annas makes for the homely nature of Platonic moral knowledge—it’s just like plumbing, only non-optional (2001, 246)—rests, as she admits, on her focus on dialogues like the Laches, in which the analogy between the moral virtues and crafts like flute-playing, shoe-making, and navigating is emphasized (2001, 244). Annas explicitly leaves open the question whether Mackie’s interpretation might capture Plato’s conception of moral knowledge in dialogues like the Republic, in which the analogy between moral and mathematical knowledge is emphasized (2001, 243). Yet it is clear from Mackie’s brief remarks about Plato that he has the Republic primarily in mind (Mackie 1977, 23–24). (shrink)

W. Tait, The provenance of pure reason. Essays in the philosophy of mathematics and its history. New York: Oxford University Press, 2005. ix + 332 pp. £36.50. ISBN 0-19-514192-X. Reviewed by J. W....

The article deals with the examination of method of hypothesis in Plato's philosophy. This method, respectively, will be examined in three dialogues of Meno, Phaedon and Republic in which it is explicitly indicated. It will be shown the process of change of Plato’s attitude towards the position and usage of the method of hypothesis in his realm of philosophy. In Meno, considering the geometry, Plato attempts to introduce a method that can be used in the realm of philosophy. But, ultimately (...) in Republic, Plato’s special attention to the method and its importance in the philosophical investigations, leads him to revise it. Here, finally Plato introduces the particular method of philosophy, i.e., the dialectic. (shrink)