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)

‘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)

The case for God -- Possibilities -- The illusion of Descartes -- Self-creation, part 1 -- Self-creation, part 2 -- Self-existence -- Necessary being -- The God of the Bible vs. the God of philosophy -- Kant's moral argument -- Vanity of vanities -- The psychology of atheism.

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

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)

Vijf Nederlandse filosofen geven elk vanuit een andere filosofische achtergrond weer wat hun mensbeeld is.

There is much scholarly disagreement with regard to the program of the Enlightenment. Something in the vicinity of agreement is achievable provided one remains suitably vague. I intend to take advantage of that. One item that seems to me characteristic of the Enlightenment is the general (and admittedly, vague) idea that human reason is the ultimate arbiter in all matters concerning warranted human belief—matters of religion included. And I have no doubt that Leibniz’s philosophizing properly understood, contributes to that general (...) idea. In what follows, I concentrate on some aspects of Leibniz’s thinking that seem to me especially relevant to this theme. (shrink)

The US neutrino community gathered at the Workshop on the Intermediate Neutrino Program at Brookhaven National Laboratory February 4-6, 2015 to explore opportunities in neutrino physics over the next five to ten years. Scientists from particle, astroparticle and nuclear physics participated in the workshop. The workshop examined promising opportunities for neutrino physics in the intermediate term, including possible new small to mid-scale experiments, US contributions to large experiments, upgrades to existing experiments, R&D plans and theory. The workshop was organized into (...) two sets of parallel working group sessions, divided by physics topics and technology. Physics working groups covered topics on Sterile Neutrinos, Neutrino Mixing, Neutrino Interactions, Neutrino Properties and Astrophysical Neutrinos. Technology sessions were organized into Theory, Short-Baseline Accelerator Neutrinos, Reactor Neutrinos, Detector R&D and Source, Cyclotron and Meson Decay at Rest sessions.This report summarizes discussion and conclusions from the workshop. (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)