Godel's and Tarski's theorems were inspired by paradoxes: the Richard paradox, the Liar. Godel, in the 1951 Gibbs lecture argued from his metatheoretical results for a metaphysical claim: the impossibility of reducing, both, mathematics to the knowable by the human mind and the human mind to a finite machine (e.g. the brain). So Godel reasoned indirectly from paradoxes for metaphysical theses. I present four metaphysical theses concerning mechanism, reductive physicalism and time for the only purpose of suggesting how it could (...) be argued for them directly from paradoxical sentences. (shrink)

R.I.G Hughes offers the first detailed and accessible analysis of the Hilbert-space models used in quantum theory and explains why they are so successful.

I. G. McFetridge; VII*—Propositions and Davidson's Account of Indirect Discourse, Proceedings of the Aristotelian Society, Volume 76, Issue 1, 1 June 1976, Page.

The basic thesis that environmental values must spring from the economic relations of human societies is examined and it is suggested that although such connections are never absent, they do not account for the totality of values. Rather, they interact with other values in a kind of helical strand which is open-ended and self-organising. In such a context, 'sustainability', for example, becomes a rather time-limited idea. Our present ways of describing such evolution and interactions are also briefly examined.

Battin et al examined data on deaths from physician-assisted suicide in Oregon and on PAS and voluntary euthanasia in The Netherlands. This paper reviews the methodology used in their examination and questions the conclusions drawn from it—namely, that there is for the most part ‘no evidence of heightened risk’ to vulnerable people from the legalisation of PAS or VE. This critique focuses on the evidence about PAS in Oregon. It suggests that vulnerability to PAS cannot be categorised simply by reference (...) to race, gender or other socioeconomic status and that the impetus to seek PAS derives from factors, including emotional state, reactions to loss, personality type and situation and possibly to PAS contagion, all factors that apply across the social spectrum. It also argues, on the basis of official reports from the Oregon Health Department on the working of the Oregon Death with Dignity Act since 2008, that, contrary to the conclusions drawn by Battin et al, the highest resort to PAS in Oregon is among the elderly and, on the basis of research published since Battin et al reported, that there is reason to believe that some terminally ill patients in Oregon are taking their own lives with lethal drugs supplied by doctors despite having had depression at the time when they were assessed and cleared for PAS. (shrink)

I. G. McFetridge; VII*—Propositions and Davidson's Account of Indirect Discourse, Proceedings of the Aristotelian Society, Volume 76, Issue 1, 1 June 1976, Page.

The Stoics maintained that virtue was the only good; everything else, therefore, was not-good. On the other hand, regarded by itself, this huge class was not equally valueless. Vice, of course, was bad; but everything else was thought to be ‘indifferent’: wealth, health, for example; indifferent, that is, with regard to the summum bonum. Of these Intermediates, men, from human nature, had a leaning to some; these were , had value, were called , that is, preferred, and virtue itself lay (...) in choice exercised among them. (shrink)

The Stoics maintained that virtue was the only good; everything else, therefore, was not-good. On the other hand, regarded by itself, this huge class was not equally valueless. Vice, of course, was bad; but everything else was thought to be ‘indifferent’: wealth, health, for example; indifferent, that is, with regard to the summum bonum. Of these Intermediates, men, from human nature, had a leaning to some; these were, had value, were called, that is, preferred, and virtue itself lay in choice (...) exercised among them. (shrink)

For almost the whole of the first half of the nineteenth century, philosophy at Moscow University was subjected to fierce persecution at the hands of the authorities. Their aim was, evidently, to smother in the cradle any manifestation of freethinking among students, the thinking part of Russian society. It was no coincidence that philosophy was chosen as the target of persecution, because the study of this science could lead by the shortest path to reflections concerning man's place in the world, (...) the role of the social sciences, the just or unjust nature of the existing state order in Russia, and so on. What would a student who got carried away by, for instance, Socrates's ideal of inner freedom or Spinoza's pantheistic system become? For a classical police state, which imperial Russia was, that was intolerable. One need merely recall that Chaadaev, Herzen, and many other rebels had at some time studied at the university. Russia's rulers clearly had no need of such people. (shrink)

The modern state of the Pauli exclusion principle studies is discussed. The Pauli exclusion principle can be considered from two viewpoints. On the one hand, it asserts that particles with half-integer spin (fermions) are described by antisymmetric wave functions, and particles with integer spin (bosons) are described by symmetric wave functions. This is a so-called spin-statistics connection. The reasons why the spin-statistics connection exists are still unknown, see discussion in text. On the other hand, according to the Pauli exclusion principle, (...) the permutation symmetry of the total wave functions can be only of two types: symmetric or antisymmetric, all other types of permutation symmetry are forbidden; although the solutions of the Schrödinger equation may belong to any representation of the permutation group, including the multi-dimensional ones. It is demonstrated that the proofs of the Pauli exclusion principle in some textbooks on quantum mechanics are incorrect and, in general, the indistinguishability principle is insensitive to the permutation symmetry of the wave function and cannot be used as a criterion for the verification of the Pauli exclusion principle. Heuristic arguments are given in favor that the existence in nature only the one-dimensional permutation representations (symmetric and antisymmetric) are not accidental. As follows from the analysis of possible scenarios, the permission of multi-dimensional representations of the permutation group leads to contradictions with the concept of particle identity and their independence. Thus, the prohibition of the degenerate permutation states by the Pauli exclusion principle follows from the general physical assumptions underlying quantum theory. (shrink)