When Demosthenes brought Aeschines to trial on a charge of malfeasance as an ambassador, he made what seems now the astonishing declaration in connection with Aeschines' acting of the part of Creon in Sophocles' Antigone: ⋯στε γ⋯ρ δ⋯που το⋯θ' ὅτι ⋯ν ἅπασι τοῖς δρ⋯μασι τοῖς τραγικοῖς ⋯ξα⋯ρετ⋯ν ⋯στιν ὥσπερ γ⋯ρας τοῖς τριταγωνισ ταῖς τὺ τοὺς τυρ⋯ννους κα⋯ τοὺς τ⋯ σκ⋯πτρ' ἔχοντας εἰσι⋯ναι. Until the last generation this was taken at face value as indicating that of the three actors presenting a (...) tragedy the third was regularly assigned the part of royalty. But that the title rôle in such plays as Sophocles' Oedipus Tyrannus or an important character such as Creon in the Antigone should have been entrusted to the third ranking actor is incredible. How is the discrepancy to be explained? (shrink)

Herodotus tells us in book vii, ch. 220, that the Pythian priestess gave the Spartans a warning couched in hexameters, of which the second line begins ἢ μγα στυ ρικυδς. To this text the admirable commentary of How and Wells takes exception in the following note: ‘The synizesis στυ ρικυδς is intolerable. Read δμ' ρικυδς, στυ being a gloss, H. Richards, Cl. Rev. xix. 345.’ Doubtless this union of vowels is harder than that of υω in ρινων or in γενων (...) and δυωδεκμηνον, accepted by Christ in his edition of Pindar . Let us grant that from the point of view of elegance it is even intolerable; the question still remains, should the line be altered? (shrink)

If the density matrix is treated as an objective description of individual systems, it may become possible to attribute the same objective significance to statistical mechanical properties, such as entropy or temperature, as to properties such as mass or energy. It is shown that the de Broglie--Bohm interpretation of quantum theory can be consistently applied to density matrices as a description of individual systems. The resultant trajectories are examined for the case of the delayed choice interferometer, for which Bell [Int. (...) J. Quantum chem. 155--159, (1980)] appears to suggest that such an interpretation is not possible. Bell’s argument is shown to be based upon a different understanding of the density matrix to that proposed here. (shrink)

We use a result due to Rolin, Speissegger, and Wilkie to show that definable sets in certain o-minimal structures admit definable parameterizations by mild maps. We then use this parameterization to prove a result on the density of rational points on curves defined by restricted Pfaffian functions.

‘A foolish consistency is the hobgoblin’ not only ‘of little minds,’ but of some classically trained minds as well. And it is surprising to see how this has caused certain unevennesses in ancient authors to be trued up. Aristophanes, for example, we are toldby a late venerable scholar, never permits a change of meter in a single speech directed to the same person; and to get rid of the two deviations from this rule, the framer of it cut down the (...) seemingly good trochaic tetrameters in the Peace to iambic trimeters, and then put line 555 before line 553 and took the three lines 555, 553, 554 from Trygaeus and assigned them to the coryphaeus. It is conceivable that if we possessed the thirty-three lost comedies of Aristophanes the editor might have had more and harder surgery on his hands. (shrink)

Why do otherwise well-intentioned managers make decisions that have negative social or environmental consequences? To answer this question, the authors combine the literature on construal level theory with the compromise effect to explore the circumstances that lead to seemingly unethical decision-making. The results of two studies suggest that the degree to which managers make high-risk tradeoffs is highly influenced by how they mentally represent the decision context. The authors find that managers are more likely to make seemingly unethical tradeoffs when (...) psychological distance is high (rather than low) and when they are forced to choose between competing alternatives. However, when given the option not to choose, managers better reflect on the consequences of each alternative, and thus become more likely to choose options with less risk of negative consequences. The results suggest that simply offering managers the option not to choose may reduce psychological distance and help organizations avoid seemingly unethical decision-making. (shrink)

The formulae advanced by Popper to calculate the degree of corroboration C of a scientific hypothesis are unsatisfactory in that the probability values required in the computation are often not available. An attempt is made to define a quantitative measure B* in the place of C in which only countable empirical values would be used. This condition is fulfilled in two basic formulae and eq. ), which could be applied to calculate the degree of corroboration. When m successful falsifications of (...) the hypothesis h appear after a sequence of n unsuccessful ones, the pragmatic degree of corroboration B* results from the difference between B and the analogue value of the falsification F* and eq. ). In the event that the hypothesis can be "rescued" through a correction, increased experimental effort must be made with the revision. This would be taken into account through the correction equation ). When the hypothesis cannot be corrected, however, it can no longer exceed the value of 1-F*, even after numerous verification experiments. In the process of deciding whether a hypothesis is "adequately" verified or falsified, a lower threshold ${\rm B}_{{\rm u}}$ und Bₒ must be selected. These values have to be chosen on an intuitive subjective basis. The same applies to the strength of unsuccessful falsifications . This evaluation is expressed by a multiplicative constant a̱ ) or an additive constant kₐ in eq. . Despite the subjectivity of the values a̱, kₐ necessary for the calculation of B*, and of the values ${\rm B}_{{\rm u}}$ , Bₒ for the decision to discontiue the examination of the hypothesis, I feel that amongst the scientists within a particular field of research, a consensus for these values should be possible. Through a quantitative determination of B* the procedure for testing a hypothesis, considered to be a closed loop process, becomes clearer. To estimate the values of B* could not only have an influence upon the decisions of the respective researchers or research groups examining a hypothesis, but also be of assistance in decisions regarding research grants when financial resources are limited. (shrink)

The assumption on which this volume is founded is that a proper comparison between scientific cognition and folk ways of thought rests on an adequate study of ...

In the past decades, reductionism has dominated both research directions and funding policies in clinical psychology and psychiatry. The intense search for the biological basis of mental disorders, however, has not resulted in conclusive reductionist explanations of psychopathology. Recently, network models have been proposed as an alternative framework for the analysis of mental disorders, in which mental disorders arise from the causal interplay between symptoms. In this target article, we show that this conceptualization can help explain why reductionist approaches in (...) psychiatry and clinical psychology are on the wrong track. First, symptom networks preclude the identification of a common cause of symptomatology with a neurobiological condition; in symptom networks, there is no such common cause. Second, symptom network relations depend on the content of mental states and, as such, feature intentionality. Third, the strength of network relations is highly likely to depend partially on cultural and historical contexts as well as external mechanisms in the environment. Taken together, these properties suggest that, if mental disorders are indeed networks of causally related symptoms, reductionist accounts cannot achieve the level of success associated with reductionist disease models in modern medicine. As an alternative strategy, we propose to interpret network structures in terms of D. C. Dennett's (1987) notion ofreal patterns, and suggest that, instead of being reducible to a biological basis, mental disorders feature biological and psychological factors that are deeply intertwined in feedback loops. This suggests that neither psychological nor biological levels can claim causal or explanatory priority, and that a holistic research strategy is necessary for progress in the study of mental disorders. (shrink)

On Virgil's statement that in honour of Bacchus ‘Ausonii … coloni versibus incomptis ludunt’, Servius remarks: ‘id est, carminibus Saturnio metro compositis, quod ad rhythmum solum vulgares componere consuerunt….’Obviously Servius is drawing a distinction between the Saturnian and other metres, as well as between the ordinary man and the man of letters. The unlettered compose their verses in the Saturnian metre, which is founded on rhythmus alone; the literary circles write theirs on some other basis.

Rabgūzī’s Stories of the Prophets , written in Khwarezmian Turkish contains an account of the life of the biblical prophets and of the Prophet Muḥammed.

After comparing Fr. 6 with the literature of its day, Mansfeld concludes that Parmenides' poem is not a polemic against Heracleitus. Rather, the poem reflects an opinion of the low estate of human knowledge not uncommon in that day. This does not, of course, preclude any influence of Heracleitus on the poem. In a second chapter, Mansfeld analyzes the argument of Fr. 3 as a disjunctive syllogism and argues that Parmenides is the founder of a tradition of logic continued by (...) Zeno, the Megarians, and the Stoics. The final chapters are devoted to a discussion of the Doxa and the central place of the Proem in interpreting the poem as a whole. The book contains an extensive bibliography, topical index, and index of Greek texts.—O. J. L. (shrink)