It is well-known that adding to a lattice the usual relative meet complement is not conservative, in the sense that distributivity is implied. In this paper we consider a weak relative meet complement that does not have the mentioned effect. We mostly study the mentioned operation from an algebraic point of view. However, we also provide a Hilbert-style axiomatization for its corresponding assertional logic.

We study some operations that may be defined using the minimum operator in the context of a Heyting algebra. Our motivation comes from the fact that 1) already known compatible operations, such as the successor by Kuznetsov, the minimum dense by Smetanich and the operation G by Gabbay may be defined in this way, though almost never explicitly noted in the literature; 2) defining operations in this way is equivalent, from a logical point of view, to two clauses, one corresponding (...) to an introduction rule and the other to an elimination rule, thus providing a manageable way to deal with these operations. Our main result is negative: all operations that arise turn out to be Heyting terms or the mentioned already known operations or operations interdefinable with them. However, it should be noted that some of the operations that arise may exist even if the known operations do not. We also study the extension of Priestley duality to Heyting algebras enriched with the new operations. (shrink)

Hawthorne and Magidor's criticisms of the model of presupposition and assertion that I have used and defended are all based on a rejection of some transparency or introspection of assumptions about speaker presupposition. This response to those criticisms aims first to clarify, and then to defend, the required transparency assumptions. It is argued, first, that if the assumptions are properly understood, some prima facie problems for them do not apply, second, that rejecting the assumptions has intuitively implausible consequences, and third, (...) that the 'margin of error' argument against the principle of positive introspection has a false premiss. The paper concludes with a response to a criticism of what Hawthorne and Magidor call 'the uniformity principle' that is used in the model to explain some pragmatic phenomena. (shrink)

‘Mysticism means to isolate the eternal from the originated.’ This is not my definition of the word ‘mysticism’ but that of the founder of the ‘orthodox’ school of Muslim mysticism, Al-Junayd of Baghdad who flourished in the ninth century a.d . In actual fact it is not a definition of mysticism at all but of the Arabic word tawḥīd which means primarily ‘the affirmation of unity’; and that surely is an essential ingredient of any form of mysticism: it is the (...) affirmation through personal experience of unity either absolutely or in some qualified sense. (shrink)

As everyone knows, since the end of the Second World War there has been a sensational revival of interest in the non-Christian religions particularly in the United States and in this country. The revival has taken two forms, the one popular, the other academic. The first of these has turned almost exclusively to Hindu and Buddhist mysticism and can be seen as an energetic reaction against the dogmatic and until very recently rigid structure of institutionalised Christianity and a search for (...) a lived experience of the freedom of the spirit which is held to be the true content of mysticism, obscured in Christianity by the basic dogma of a transcendent God, the ‘wholly Other’ of Rudolf Otto and his numerous followers, but wholly untrammelled by any such concept in the higher reaches of Vedanta and Buddhism, particularly in its Zen manifestation. On the academic side the picture is less clear. There is, of course, the claim that the study of religion, like any other academic study, must be subjected to and controlled by the same principles of ‘scientific’ objectivity to which the other ‘arts’ subjects have been subjected, to their own undoing. But even here there would seem to be a bias in favour of the religions of India and the Far East as against Islam, largely, one supposes, in response to popular demand. (shrink)

Daniel Dennett and others have suggested that qualia and introspectible phenomena do not exist. Dennett's account of consciousness, along with several related approaches, has been called illusionism by Keith Frankish. Frankish's analysis is helpful and provocative. As currently presented, however, his 'strong' version of illusionism suffers from several basic confusions, particularly regarding its relationship to eliminative materialism. This paper contrasts strong illusionism with an alternative that is easier to understand and more sharply focused -- fallibilist experiential realism, or, less technically, (...) modest realism. Fallibilist realism affirms the existence of experiential states that are commonly considered qualitative and phenomenal, but shares Frankish's agenda of thoroughly re-evaluating our judgments about such experiences. To illustrate the advantages of modest realism, I compare the ways illusionism and modest realism address two challenging puzzles: explaining how qualitative differences among sensory experiences could be constituted by differences among neural states, and explaining how neural states could constitute any conscious experiences whatsoever. (shrink)

Lazare Carnot was the unique example in the history of science of someone who inadvertently owed the scientific recognition he eventually achieved to earlier political prominence. He and his son Sadi produced work that derived from their training as engineers and went largely unnoticed by physicists for a generation or more, even though their respective work introduced concepts that proved fundamental when taken up later by other hands. There was, moreover, a filial as well as substantive relation between the work (...) of father and son. Sadi applied to the functioning of heat engines the analysis that his father had developed in his study of the operation of ordinary machines. Specifically, Sadi's idea of a reversible process originated in the use his father made of geometric motions in the analysis of machines in general. (shrink)

Book reviewed in this article: Not In Our Genes: Biology, Ideology, and Human Nature. By R. C. Lewontin, Steven Rose, and Leon J. Kamin.

This invaluable resource is the first one-volume, in-depth, comprehensive history of modern science ever published.

Alchemy is central to Jung's hypothesis of the collective unconscious. In this volume he begins with an outline of the process and aims of psychotherapy, and then moves on to work out the analogies between alchemy, Christian dogma and symbolism and his own understanding of the analytic process. Introducing the basic concepts of alchemy, Jung reminds us of the dual nature of alchemy, comprising both the chemical process and a parallel mystical component. He also discusses the seemingly deliberate mystification of (...) the alchemists. Finally, in using the alchemical process as providing insights into individuation, Jung emphasises the importance of alchemy in relating to us the transcendent nature of the psyche. (shrink)

Mole's (2008 [this issue]) argument that consciousness is a necessary concomitant of attention rests on the question of what is being attended in spatial attention. His answer is space. Some authors, including ourselves, claim that the fact that the processing of unseen objects can be modulated by spatial attention (e.g. Kentridge et al., 1999; 2004; 2008; Marzouki et al., 2007; Sumner et al., 2006) demonstrates that visual attention is not a sufficient precondition for visual awareness. Mole, however, contends that as (...) space, rather than any object that might occupy that space, is what is being attended, these experiments do not constitute evidence for a dissociation between attention and consciousness. We disagree. To understand the source of this disagreement we need to understand the various processes encompassed by the term 'attention' and to consider experimental evidence illustrating how these processes operate. We review evidence that spatial attention can be deployed with the specific goal of determining the properties of objects occupying the attended region of space. One might, for example, attend to a location with the goal of determining the colour of objects occupying that space as efficiently as possible. Mole's assumption that all that is attended in spatial attention is space is not consistent with this evidence. We conclude that attention can be directed at objects by mechanisms of so- called 'spatial attention' without those objects necessarily eliciting conscious visual experience and hence that attention is not a sufficient precondition for visual awareness. (shrink)

Papers presented in a National Seminar on "Wittgenstein's Philosophy of Language", held in Feb. 24-26, 1999, at Hyderabad, India.

Knowledge of God -- In essence -- In person -- Incommunicable attributes -- Communicable attributes -- The will of God -- Providence.

Probability kinematics is the theory of how subjective probabilities change with time, in response to certain constraints . Rules are classified by the imposed constraints for which the rules prescribe a procedure for updating one's opinion. The first is simple conditionalization , and the second Jeffrey conditionalization . It is demonstrated by a symmetry argument that these rules are the unique admissible rules for those constraints, and moreover, that any probability kinematic rule must be equivalent to a conditionalization preceded by (...) a determination of the values x i to be given to the members of such a partition. Next two rival rules which can go beyond such conditionalization are described. INFOMIN and MTP . Their properties are investigated and compared. (shrink)

A well-documented defense of the thesis that St. Augustine held the city of man, especially Rome, to contain many relative goods, however evil it was from the absolute standpoint of goodness consisting in the worship of the true God. O'Meara discusses in some detail many contemporary critics, e.g., Ernest Barker, who oppose this interpretation, and argues on the basis of historical circumstance and Augustine's own declarations in works other than the City of God.--R. C. N.

Papers presented at the National Seminar on "The Challenges of Postmodernism", hosted by the Department of Philosophy, University of Hyderabad during 28-30 March 2006.