Comparative study of inference in logic in Indic philosophy.

'Why did the window break when it was hit by the stone? Because the window is brittle and the stone is hard; hardness and brittleness are powers, dispositional properties or dispositions.' Dispositions are essential to our understanding of the world. This book is a record of the debate on the nature of dispositions between three distinguished philosophers - D. M. Armstrong, C. B. Martin and U. T. Place - who have been thinking about dispositions all their working lives. Their distinctive (...) accounts cover many of the issues surrounding dispositions such as the nature of mind, matter, universals, existence, laws of nature and causation. Dispositions illuminates this central topic in analytic philosophy and at the same time highlights deeper concerns of metaphysics. (shrink)

The question of providence and contingency in contemporary Western thought: a critical study from an Islamic perspective.

Two works: the first is a commentary on Book Lambda of Aristotle's Metaphysics; the second is a section of Avicenna's commentary on the so-called "Theology of Aristotle.

A generalization of Ehrenfest''s urn model is suggested. This will allow usto treat a wide class of stochastic processes describing the changes ofmicroscopic objects. These processes are homogeneous Markov chains. Thegeneralization proposed is presented as an abstract conditional (relative)probability theory. The probability axioms of such a theory and some simpleadditional conditions, yield both transition probabilities and equilibriumdistributions. The resulting theory interpreted in terms of particles andsingle-particle states, leads to the usual formulae of quantum and classicalstatistical mechanics; in terms of chromosomes (...) and allelic types, it allowsthe deduction of many genetical models including the Ewens sampling formula;in terms of agents'' strategies, it gives a justification of the ``herdbehaviour'''' typical of a population of heterogeneous economic agents. (shrink)

This book has grown out of eight years of close collaboration among its authors. From the very beginning we decided that its content should come out as the result of a truly common effort. That is, we did not "distribute" parts of the text planned to each one of us. On the contrary, we made a point that each single paragraph be the product of a common reflection. Genuine team-work is not as usual in philosophy as it is in other (...) academic disciplines. We think, however, that this is more due to the idiosyncrasy of philosophers than to the nature of their subject. Close collaboration with positive results is as rewarding as anything can be, but it may also prove to be quite difficult to implement. In our case, part of the difficulties came from purely geographic separation. This caused unsuspected delays in coordinating the work. But more than this, as time passed, the accumulation of particular results and ideas outran our ability to fit them into an organic unity. Different styles of exposition, different ways of formalization, different levels of complexity were simultaneously present in a voluminous manuscript that had become completely unmanageable. In particular, a portion of the text had been conceived in the language of category theory and employed ideas of a rather abstract nature, while another part was expounded in the more conventional set-theoretic style, stressing intui tivity and concreteness. (shrink)

The aim of the present paper is to give a purely probabilistic account for the approach to equilibrium of classical and quantum gas. The probability function used is classical. The probabilistic dynamics describes the evolution of the state of the gas due to unary and binary collisions. A state change amounts to a destruction in a state and the creation in another state. Transitions probabilities are splittled into destructions terms, denoting the random choice of the colliding particle(s), and creation terms, (...) describing the allocation of the same particle(s) on the final state(s). While the destruction term is the same for all types of particles, the creation one depends upon a parameter bound to the interpraticle correlation. The transition probabilities give rise to a homogeneous Markov chain. The equilibrium distributions satisfy the principle of detailed balance. Relaxation times depend upon the interparticle correlation. Relationships with the Ehrenfest urn model, Brillouin unified method, ensemble interpretation, and quantum H-theorem are considered too. (shrink)

A pure probabilistic approach to Gibbs' distributions is given, starting from the notion of “finite exchangeable random process.” The differences between bosons, fermions, and classical particles are ascribed to different values of correlation. The relationship between exchangeability and constraints on the energy distribution is investigated.

In the present paper we face the problem of estimating cell probabilities in the case of a two-dimensional contingency table from a predictive point of view. The solution is given by a double stochastic process. The first subprocess, the unobservable one, is supposed to be exchangeable and invariant. For the second subprocess, the observable one, we suppose it is independent conditional on the first one.

We show: (1) It is possible to produce the three familiar statistics without referring to the problem of distinguishability; (2) what really distinguishes elementary particles is the correlation existing among them; (3) correlations existing among quantum particles, positive for bosons and negative form fermions, are completely different in character.

This article presents the new German law on advance directives from 1 September 2009. The history of the parliamentary process of this law is described, the present regulations are explained, their relevance for medical practice discussed and shortcomings are identified. Finally, the new law is compared with other regulations in the international context. Previously established legal practice in Germany has now become largely confirmed by the new law: An advanced directive must be respected in any decision concerning medical treatment, regardless (...) of the stage of the illness. It can be informally revoked at any time, even with limited decision-making capacity. Nobody may be obliged to issue a directive in any way. Advance directives do not need notarisation or routine updating after certain time intervals. Provided that the patient, who is no longer mentally competent, has issued a lasting power of attorney, or provided that the patient has been appointed a healthcare proxy by the courts, this authorised surrogate must assert the patient's will. The role of the guardianship court is clarified: it only needs to be involved in cases of disagreement as to the patient's will. The new German law thus combines more legal certainty with a liberal emphasis on patient autonomy and flexible, adaptable regulations. (shrink)