Judgment aggregation theory, which concerns the translation of individual judgments on logical propositions into consistent group judgments, has shown that group consistency generally cannot be guaranteed if each proposition is treated independently from the others. Developing the right method of abandoning independence is thus a high-priority goal. However, little work has been done in this area outside of a few simple approaches. To fill the gap, we compare four methods based on distance metrics between judgment sets. The methods generalize the (...) premise-based and sequential priority approaches to judgment aggregation, as well as distance-based preference aggregation. They each guarantee group consistency and implement a range of distinct functions with different properties, broadening the available tools for social choice. A central result is that only one of these methods (not previously considered in the literature) satisfies three attractive properties for all reasonable metrics. (shrink)

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Quantum mechanical measurements on a physical system are represented by observables - Hermitian operators on the state space of the observed system. It is an important question whether all observables may be realized, in principle, as measurements on a physical system. Dirac’s influential text ( [1], page 37) makes the following assertion on the question: The question now presents itself – Can every observable be measured? The answer theoretically is yes. In practice it may be very awkward, or perhaps even (...) beyond the ingenuity of the experimenter, to devise an apparatus which could measure some particular observable, but the theory always allows one to imagine that the measurement can be made. This Letter re-examines the question of whether it is possible, even in principle, to measure every quantum mechanical observable. Unexpectedly, ideas from com-. (shrink)

The considerable attention to financial interests in clinical research has focused mostly on academic medical centers, even though the majority of clinical research is conducted in community practice settings. To fill this gap, this article maps the practices and policies in 73 community hospitals and several hundred specialized facilities around the country for reviewing clinical investigators’ financial relationships with research sponsors. Community hospitals face a substantially different mix of issues than academic medical centers do because their physician researchers are usually (...) not employees, and more of their studies are later-phase, multicenter trials. Accordingly, community physicians stand to benefit personally from per capita payments, but they tend to have less direct influence over research findings when compared with their academic peers. These and other contrasts require separate guidance for community-based organizations that takes into account their particular needs, circumstances, and institutional capacities. (shrink)

The second highest level of the divided line in Plato’s Republic (510b-511a) appears to be about the entities of mathematics—entities such as particular (though non-physical) triangles. It differs from the highest level in two respects. It involves reasoning from hypotheses, and it uses visible images. This article defends the traditional view that the passage is indeed about these mathematical ‘intermediates’; and tries to show how the apparently different features of the second level are related, by focussing on Plato’s need to (...) give an account of how we can speak of many particulars of the same kind, without assuming that they are imperfect copies, in the way sensible things can be imperfect copies, of forms. (shrink)

There is a theistic argument which is discussed at least twice in the Hume corpus, both times rather perfunctorily. This perfunctoriness has carried over to some of his commentators, who are not always clear as to what the argument is or about the force of Hume’s comments on it. On page 23 of A Letter from a Gentleman to his Friend in Edinburgh Hume calls it “the metaphysical Argument a priori” and in Part 9 of Dialogues concerning Natural Religion simply (...) “the argument a priori”.1 It is the argument of Demea. (shrink)

A detailed attempt to ground the topological properties of time in the laws of micro- and macro-physical processes. The reversible processes of mechanics are used to define an order among temporally separated events, which is invariant under reversals of time direction. So long as consideration is limited to a single isolated system, a time ensemble, the transfer of the reversibility of the constituent processes of such a system to the system as a whole makes it impossible to define time direction (...) by means of the entropy curve. The directionality of time, accordingly, can only be defined as the direction of the entropy increase of multiple systems, of a space ensemble. A macrostatistical definition of time direction is then based upon the causal relation. The author's view of causation is non-deterministic: the conjunction of two events is caused if they occur together more frequently than can be expected from their chance coincidence. Reichenbach's analyses and arguments are careful and thorough; the book as a whole is a solid achievement. -- M. F. (shrink)