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)

This book explains the notational system NUSAP (Numeral, Unit, Spread, Assessment, Pedigree) and applies it to several examples from the environmental sciences.

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.

The lambda calculus is a universal programming language. It can represent the computable functions, and such offers a formal counterpart to the point of view of functions as rules. Terms represent functions and this allows for the application of a term/function to any other term/function, including itself. The calculus can be seen as a formal theory with certain pre-established axioms and inference rules, which can be interpreted by models. Dana Scott proposed the first non-trivial model of the extensional lambda calculus, (...) known as $ D_{\infty }$, to represent the $\lambda $-terms as the typical functions of set theory, where it is not allowed to apply a function to itself. Here we propose a construction of an $\infty $-groupoid from any lambda model endowed with a topology. We apply this construction for the particular case $D_{\infty }$, and we see that the Scott topology does not provide enough information about the relationship between higher homotopies. This motivates a new line of research focused on the exploration of $\lambda $-models with the structure of a non-trivial $\infty $-groupoid to generalize the proofs of term conversion to higher-proofs in $\lambda $-calculus. (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)

O'Donnell, J. R. Anton Charles Pegis on the occasion of his retirement.--Conlan, W. J. The definition of faith according to a question of MS. Assisi 138: study and edition of text.--Spade, P. V. Five logical tracts by Richard Lavenham.--Maurer, A. Henry of Harclay's disputed question on the plurality of forms.--Brown, V. Giovanni Argiropulo on the agent intellect: an edition of Ms. Magliabecchi V 42.--Synan, E. A. The Exortacio against Peter Abelard's Dialogus inter philosophum, Iudaeum et Christianum.--Fitzgerald, W. Nugae Hyginianae.--Sheehan, M. (...) M. Marriage and family in English conciliar and synodal legislation.--Shook, L. K. Riddles relating to the Anglo-Saxon scriptorium.--Boyle, L. E. The De regno and the two powers.--Colledge, E. A Middle English Christological poem.--Gough, M. R. E. Three forgotten martyrs of Anazarbus in Cilicia.--Häring, N. Chartres and Paris revisited.--Hayes, W. Greek recentiores, (Ps.) Basil, Adversus eunomium, IV-V.--Owens, J. The physical world of Parmenides. (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)

‘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)

This paper concludes a special feature of Sustainability Science that explores a broad range of social value theoretical traditions, such as religious studies, social psychology, indigenous knowledge, economics, sociology, and philosophy. We introduce a novel transdisciplinary conceptual framework that revolves around concepts of 'lenses' and 'tensions' to help navigate value diversity. First, we consider the notion of lenses: perspectives on value and valuation along diverse dimensions that describe what values focus on, how their sociality is envisioned, and what epistemic and (...) procedural assumptions are made. We characterise fourteen of such dimensions. This provides a foundation for exploration of seven areas of tension, between: (1) the values of individuals vs collectives; (2) values as discrete and held vs embedded and constructed; (3) value as static or changeable; (4) valuation as descriptive vs normative and transformative; (5) social vs relational values; (6) different rationalities and their relation to value integration; (7) degrees of acknowledgment of the role of power in navigating value conflicts. In doing so, we embrace the 'mess' of diversity, yet also provide a framework to organise this mess and support and encourage active transdisciplinary collaboration. We identify key research areas where such collaborations can be harnessed for sustainability transformation. Here it is crucial to understand how certain social value lenses are privileged over others and build capacity in decision-making for understanding and drawing on multiple value, epistemic and procedural lenses. (shrink)

‘Saepe stilum vertas’, says Horace; and he had excellent company in his friend Virgil, who wrote the Aeneid at the rate of only about 900 lines a year, and spent hours in licking his verses into shape. It would have been instructive to sit at the elbow of these two poets, to see what they altered and what they rejected. It is clear, e.g., that there were certain caesural arrangements which Virgil deliberately affected and others which he as deliberately avoided. (...) But what of the care taken by these and other classical authors in arranging sounds in relation to mood or idea? This present incomplete essay is written frankly with scepticism in regard to dogmatic comments on certain particular points. It has been perilously easy to frame legislation on the basis of a predilection bolstered up by one or two instances. Even in the field of syntax we have seen generalizations on too narrow a foundation. An editor of Andocides enunciates ‘a very important principle of the language, which is rigidly observed by the best writers; viz., that, when a participle and a verb of different government are referred to the same object, the case of that object depends on the participle and not at all on the verb… Shilleto's remarks on this point must be excused, as evidently written hastily.’ But a casual cast of the net brings up about a score of violations of this principle from Homer to Menander. Where does the editor propose to draw the line between the respectable and the declassé Greek writers? Aristophanes, though cited in support, is actually flagrantly lawless in the matter; and with him must go not only Homer and Hyperides but Sophocles, Euripides, Menander, Xenophon, Lysias, and Plato, leaving among the élite, as cited by this editor, only Thucydides, Antiphon, and Aeschines; and one is entitled to doubt even their rigid observance of the law until they have actually been brought to court. In problems of rhythm, also, one has to be careful to use evidence as against preconception. When an editor hacks and fits the dactylics of Ennius so as to eradicate all feet beginning with two short syllables, it is as impious as recarving a statue by Daedalus because it does not conform to the canon of Polyclitus; and one may be forgiven if now and then one interprets the editor's corr. in his apparatus criticus not as correxi but as corrupi. (shrink)

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)

Diagnostic self-testing devices are being developed for many illnesses, chronic diseases and infections. These will be used in hospitals, at point-of-care facilities and at home. Designed to allow earlier detection of diseases, self-testing diagnostic devices may improve disease prevention, slow the progression of disease and facilitate better treatment outcomes. These devices have the potential to benefit both the individual and society by enabling individuals to take a more proactive role in the maintenance of their health and by helping society improve (...) health and reduce health costs. However, the full implications of future home-based diagnostic technology for individuals and society remain unclear due to their novelty. We argue that the development of diagnostic tools, especially for home use, will heighten a number of ethical challenges. This paper will explore some of the ethical implications of home-based self-testing diagnostic devices for the autonomous and relational dimensions of the person. This will be facilitated by examining the impact of diagnostic devices for individual autonomy, for the delivery of accurate diagnosis and for the personal significance of the information for the user. The latter will be examined using Charles Taylor's view of personhood and his emphasis on human agency and interpretation. While the ethical issues are not necessarily new, the development of home-based self-testing diagnostic devices will make issues regarding autonomy, accuracy of information and personal significance more and more demanding. This will be the case particularly when an individual's autonomous choices come into conflict with the person's relational responsibilities. (shrink)

Archaeologists have proposed that behavioral knowledge of a tool can be conceptualized as a “recipe”—a unit of cultural transmission that combines the preparation of raw materials, construction, and use of the tool, and contingency plans for repair and maintenance. This parallels theories in cognitive psychology that behavioral knowledge is hierarchically structured—sequences of actions are divided into higher level, partially independent subunits. Here we use an agent-based simulation model to explore the costs and benefits of hierarchical learning relative to holistic learning, (...) where entire behavioral sequences are learned in an all-or-nothing fashion, and diffusionist learning, where actions are completely independent. Hierarchical learning is favored under the reasonable assumptions that learning is associated with some degree of both error and cost, and that behavior can be grouped into subunits that repeat in one or more tool recipes. These general predictions can be tested in the archaeological and ethnographic record. Recent advances in evolutionary developmental biology have revealed a number of parallels between the hierarchically structured, recipe-like organization of behavioral knowledge that we examine here and the manner in which biological organisms develop. (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 spatial dynamics of the optical emission from an array of 50 times 50 individual microcavity plasma devices is investigated. The array is operated in argon and argon-neon mixtures close to atmospheric pressure with an ac voltage. The optical emission is analysed with phase and space resolution. It has been found that the emission is not continuous over the entire ac period, but occurs once per half period. Each of the observed emission phases shows a self-pulsing of the discharge, with (...) several bursts of emission of fixed width and repetition rate. The number of emission bursts depends on applied voltage and frequency. Spatially resolved measurements prove that the emission bursts are formed by overlapping emission pulses from single discharge cavities. Intensity differences between positive and negative half-wave can be interpreted through spatially resolved measurements of single discharge cavities. (shrink)

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)