Dogmatic Metaphysics and Tschirnhaus's M ethodology MARTIN SCHONFELD ACCORDING TO STANDARD COMMENTARIES, Tschirnhaus's main work, Medicina mentis, ~ supposedly furnished the methodological basis for the Leibnizian-Wolffian metaphysics. ~ Christian Wolff and his disciples, at any rate, preferred to think so. Wolff taught classes on Tschirnhaus and claimed that he had developed his own tenets on the basis of Tschirnhaus's ideas; Johann Christoph Gottsched praised the Medicina mentis as the basic methodology of the Wolffian enlightenment.3 Mirroring these views, W. Wundt and (...) H. J. de Vleeschauwer saw in Tschirnhaus the inventor of the "geometric method" adopted by the School Philosophers.4 According to M. ' Medicina Mentis, sive Tentamen genuinae Logicae, in qua disseritur de Methodo detegendi incoKaitas veritates, Amsterdam, 1687. Second and revised edition, Medicina Mentis, sive Artis inveniendi Praecepta generalia, Leipzig, 1695. ~For example, cf. Wilhelm Windelband, Geschichte der Philosophie, 3~o-33 and 356; Friedrich Ueberweg, Grundriss der Geschichte der Philosophie, III: ~95-97, 3 x~ 34o-43; A. Robert Caponigri, A History of Western Philosophy (Notre Dame/London: University of Notre Dame.. (shrink)

Trees architectural study shows gradients in the meristematic activity. This activity is described by the number of internodes per growth unit, which is considered as the output of a dynamic random process. Several species were observed, which led us to propose and then estimate some mathematical models. Computing the functioning of a tree in a given environment therefore involves finding the probability function of the meristems and following the evolution of the parameters of this law along the botanical gradients (order, (...) trend, acrotony) within its architecture. (shrink)

Rationale, aims and objectives This randomized controlled trial was designed to evaluate the 2-year costs and effects of a proactive, public health nursing case management approach compared with a self-directed approach for 129 single parents (98% were mothers) on social assistance in a Canadian setting. A total of 43% of these parents had a major depressive disorder and 38% had two or three other health conditions at baseline. Methods Study participants were recruited over a 12 month period and randomized into (...) two groups: one receiving proactive public health nursing and one which did not. Results At 2 years, 69 single parents with 123 children receiving proactive public health nursing (compared with 60 parents with 91 children who did not receive public health nursing services) showed a slightly greater reduction in dysthymia and slightly higher social adjustment. There was no difference between the public health and control groups in total per parent annual cost of health and support services. However, costs were averted due to a 12% difference in non-use of social assistance in the previous 12 months for parents in the public health nursing group. This translates into an annual cost saving of $240 000 (Canadian) of costs averted within 1 year for every 100 parents. Conclusions In the context of a system of national health and social insurance, this study supports the fact that it is no more costly to proactively service this population of parents on social assistance. (shrink)

There is perhaps no part of Kant’s Critique of Pure Reason which has called forth such severe criticism as his deduction of the System of Categories in the Transcendental Analytic. I am not aware of even one among his many followers who holds to this part of Kant’s doctrine. And the reason for this disagreement is obvious. Kant’s deduction of his System of Categories is based on Formal Logic, the theory of syllogism, first laid down by Aristotle. Mediaeval scholars had (...) changed some details and partly systematized the subject. Kant himself had added some finishing touches to produce his famous number of a dozen categories, but the gist of this logical theory was the same as that found in Aristotle’s Organon. (shrink)

The passage of a spin-1/2neutral particle through a region of uniform magnetic field and the corresponding precession mechanism is analyzed from the viewpoint of scattering theory, with particular consideration of the role of the field boundaries.

We investigate two formalizations of Optimality Theory, a successful paradigm in linguistics.We first give an order-theoretic counterpart for the data and processinvolved in candidate evaluation.Basically, we represent each constraint as a function that assigns every candidate a degree of violation.As for the second formalization, we define (after Samek-Lodovici and Prince) constraints as operations that select the best candidates out of a set of candidates.We prove that these two formalizations are equivalent (accordingly, there is no loss of generality with using violation (...) marks and dispensing with them is only apparent).Importantly, we show that the second formalization is equivalent with a class of operations over sets of formulas in a given logical language.As a result, we prove that Optimality Theory can be characterized by certain cumulative logics.So, applying Optimality Theory is shown to be reasoning by the rules of cumulative logics. (shrink)

Standard quantum theory is inadequate to explain the mechanisms by which potential becomes actual. It is inadequate and therefore unable to describe generation of events. Niels Bohr emphasized long ago that the classical part of the world is necessary. John Bell stressed the same point: that “measurement≓ cannot even be defined within the standard quantum theory, and he sought a solution within hidden variable theories and his concept of “beables.≓Today it is customary to try to explain emergence of the classical (...) world through a decoherence mechanism due to “environment.≓ But, we believe, as it was with the concept of measurement, “environment≓ itself cannot be defined within the standard quantum theory.We have proposed a semiphenomenological solution to this problem by introducing explicitly, from the very beginning, classical degrees of freedom, and by coupling these degrees of freedom, through a Lindblad type coupling, to the quantum world. The resulting theory, we call “event-enhanced quantum theory.≓ EEQT allows us to describe an event-generating mechanism for individual quantum systems under continuous observation. The objections of John Bell are met and precise definitions of an “experiment≓ and of a “measurement≓ have been given within EEQT. However EEQT is, essentially, a nonrelativistic theory.In the present paper we extend the ideas of L. P. Horwitz and C. Piron and we propose a relativistic version of EEQT, with an event-generating algorithm for spin one-half particle detectors. The algorithm is based on proper time formulation of the relalivistic quantum theory. Although we use indefinite metric, all the probabilities controlling the random process of the detector clicks are nonnegative. (shrink)