Representation of quantum states by statistical ensembles on the quantum phase space in the Hamiltonian form of quantum mechanics is analyzed. Various mathematical properties and some physical interpretations of the equivalence classes of ensembles representing a mixed quantum state in the Hamiltonian formulation are examined. In particular, non-uniqueness of the quantum phase space probability density associated with the quantum mixed state, Liouville dynamics of the probability densities and the possibility to represent the reduced states of bipartite systems by marginal distributions (...) are discussed in detail. These considerations are used to study ensembles of hybrid quantum-classical systems. In particular, nonlinear evolution of a single hybrid system in a pure state and unequal evolutions of initially equivalent ensembles are discussed in the context of coupled hybrid systems. (shrink)

Peckham claims that my "behavior" in dealing with the quotations in Natural Supernaturalism is the same, in methodology and validity, as the interpretative behavior of Booth's waiter. But the great bulk of the utterances in my quotations—and no less, of the utterances constituting Peckham's own essay—do not consist of orders, requests, or commands. Instead, they consist of assertions, descriptions, judgments, exclamations, approbations, condemnations, and many other kinds of speech-acts, the meanings of which are not related to my interpretative behavior, even (...) in the indirect way in which the meaning of Booth's order is related to the future behavior of his waiter. M. H. Abrams, author of Natural Supernaturalism and The Mirror and the Lamp and Class of 1916 Professor of English at Cornell University, responds in this essay to Morse Peckham's "The Infinitude of Pluralism" . Morse Peckham, in his Critical Response, was commenting on issues raised by the forum on "The Limits of Pluralism" , to which M. H. Abrams contributed. Previous contributions to Critical Inquiry are "Rationality and Imagination in Cultural History: A Reply to Wayne Booth" and "The Deconstructive Angel". (shrink)

In retrospect, I think I was right to compose Natural Supernaturalism by relying on taste, tact, and intuition rather than on a controlling method. A book of this kind, which deals with the history of human intellection, feeling, and imagination, employs special vocabularies, procedures, and modes of demonstration which, over many centuries of development, have shown their profitability when applied to matters of this sort. I agree with Booth that these procedures, when valid, are in a broad sense rational, and (...) subject to analysis and some degree of definition. But the rules underlying such a discourse are complex, elusive, unsystematic, and subject to innovative modification; they manifest themselves in the intuitive expertise of the historian; and the specification of these rules should not precede, but follow practice. . . . After the fact, nevertheless, a book like Natural Supernaturalism is subject to close critical inquiry about its methods and rationale. I am grateful to Booth for opening up such an inquiry, and for doing so in a way that is not only disarming, but seems to me to be the most promising of useful results. That is, instead of adopting a prosecutorial stance, demanding: "Justify the rationality and probative force of what you have done; it looks dammed suspicious to me," he has adopted the friendly tactic of saying: "Your book, in my experience of it, has yielded discoveries that I want to call knowledge, by methods, however deviant from standard rubrics of valid reasoning, that it seems irrational to call non-rational. Let's set out to clarify what these methods are, and to see what grounds we can find for the claim that they provide warranted knowledge." M.H. Abrams' contributions to Critical Inquiry are "The Deconstructive Angel" and "Behaviorism and Deconstruction: A Comment on Morse Peckham's 'The Infinitude of Pluralism'". (shrink)

We consider conditionals of the form A ⇒ B where A depends on the future and B on the present and past. We examine models for such conditional arising in Talmudic legal cases. We call such conditionals contrary to time conditionals.Three main aspects will be investigated: Inverse causality from future to past, where a future condition can influence a legal event in the past (this is a man made causality).Comparison with similar features in modern law.New types of temporal logics arising (...) from modelling the Talmudic examples. We shall see that we need a new temporal logic,which we call Talmudic temporal logic with linear open advancing future and parallel changing past, based on two parameters for time. (shrink)

In this paper, the authors have detected a new effect in the area of geomagnetism, related to the behavior of a magnetic dipole freely floating on water surface. An experiment is described in the present paper in which a magnetic dipole fixed upon a float placed on non- magnetized water surface undergoes displacement along with reorientation caused by fine structure of the earth's magnetic field. This fact can probably be explained by secular decrease of the earth's major dipole moment. Further, (...) a detailed study of the phenomenon may create interesting premises for its practical use, particularly for the analysis of fine structure of geomagnetic field and its time-dependent anomalies. A strange behavior of some sea fish species prior to strong earthquakes may be explained if the fish are assumed as 'live magnetic dipoles'. (shrink)

This book critically examines the Confucian political imagination and its influence on the contemporary Chinese dream of a powerful China. It views Confucianism as the ideological supplement to a powerful state that is challenging Western hegemony, and not as a political philosophy that need not concern us. Eske Møllgaard shows that Confucians, despite their traditionalist ways, have the will to transform the existing socio-ethical order. The volume discusses the central features of the Confucian political imaginary, the nature of Confucian discourse, (...) Confucian revivals, Confucian humanism and civility, and the political ideal of the Great Unity. It concludes by considering if Confucianism can be universalized as an ideology in competition with liberal democracy. (shrink)

The work of many scholars in the last hundred years has helped us to understand the nature and origins of the treatise which we know for short as the Contest of Homer and Hesiod. The present state of knowledge may be summed up as follows. The work in its extant form dates from the Antonine period, but much of it was taken over bodily from an earlier source, thought to be the Movaelov of Alcidamas. Some of the verses exchanged in (...) the contest were current even earlier, and some scholars have supposed that the story of a contest went back to the fifth, sixth, or even eighth century; but this is now much doubted. (shrink)

Several of the treatises and lectures that make up the Hippocratic corpus begin with more or less extended statements about the physical composition and operation of the world at large, and approach the study of human physiology from this angle. We see this, for example, in De Natwra Hominis, De Flatibus, De Carnibus, De Victu; it was the approach of Alcmaeon of Croton, Diogenes of Apollonia, and according to Plato of Hippocrates himself. The work known as De Hebdomadibus would appear (...) to be a prime example of the type. The first twelve chapters are cosmological. They are dominated by two ideas: that everything in nature is arranged in groups of seven, and that the human body is constructed on the same pattern as the whole world. In the later part of the book we pass to the subject of fevers, their causation and treatment. But as Roscher observed, the cosmology and the pathology do not belong together. (shrink)

The law and society occasionally impute consent to an agent despite a clear lack of actual consent. A common type of such ‘fictitious consent’ is constructive consent. In this practice, we treat an agent as if she consented to Φ because she did Ψ. By examining how constructive consent operates in law and daily life, I show that our treatment of agents in these cases bears no normatively relevant resemblance to consent because it is grounded in values and concerns other (...) than autonomy. Thus, the practice may diminish the very autonomy consent proper seeks to promote. Hiding this potential for conflict creates the risk moral concerns will not be appropriately balanced when deciding on the permissibility of an action. We thus ought to be explicit that such cases don’t involve consent and its common justification. (shrink)

(No abstract is available for this citation).