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)

1. HUME’S ARGUMENT, FLEW CORRECTLY EXPLAINS, IS NOT THAT MIRACLES CANNOT HAPPEN, BUT THAT THERE MUST BE A CONFLICT IN THE EVIDENCE TO SHOW THAT THEY DO. 2. (I) FLEW FURTHER APPEALS TO THE INHERENT WEAKNESS OF HISTORICAL AS OPPOSED TO SCIENTIFIC EVIDENCE. BUT ONE’S ASSESSMENT OF THE EVIDENCE MUST DEPEND ON WHETHER THE CONCEPT IS POSSIBLE. (II) FLEW CLAIMS THAT HUME CAN BE TAKEN TO MEAN THAT WHAT IS ALLOWED TO BE A LOGICAL POSSIBILITY SHOULD YET BE DISMISSED AS (...) IMPOSSIBLE IN FACT. BUT THIS DISTINCTION CANNOT BE APPLIED IN ADVANCE OF AN OCCURRENCE, WITHOUT BEGGING THE QUESTION AS TO WHETHER IT IS INDEED POSSIBLE OR NOT. 3. PACE HUME AND FLEW, ENTERTAINING THE CONCEPT IS NOT INCOHERENT. FOR (I) THE RELEVANT "LAW OF NATURE" CAN BE THOUGHT OF AS POTENTIALLY APPLICABLE, THOUGH NOT IN FACT SO; (II) ONE MAY CONCEIVE OF AN "UNCAUSED" EVENT, ONCE ONE SUPPOSES THAT IN MOST OTHER CASES THE UNIVERSE IS UNIFORM. THUS IT COULD BE RATIONAL TO JUDGE THAT A MIRACLE HAD OCCURRED, SINCE THIS WOULD NOT CAL. (shrink)

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

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)

General preface -- Preface to the second edition -- What is philosophy of religion? -- Philosophy of religion and other disciplines -- Philosophy of religion and philosophy -- Can thinking about religion be neutral? -- Fideism -- Neutralism -- Critical dialogue -- The theistic God : the project of natural theology -- Concepts of God -- The theistic concept of God -- A case study : divine foreknowledge and human freedom -- The problem of religious language -- Natural theology -- (...) Proofs of God's existence -- Classical arguments for God's existence -- Ontological arguments -- Cosmological arguments -- Teleological arguments -- Moral arguments -- Conclusions: The value of theistic argument -- Religious experience -- Types of religious experience -- Models for understanding experience -- Experience of God as direct and mediated -- Are religious experiences veridical? -- Checking experiential claims -- Special acts of God : revelation and miracles -- Special acts -- Theories of revelation -- Is the traditional view defensible? -- What is a miracle? -- Is it reasonable to believe in miracles? -- Can a revelation have special authority? -- Religion, modernity, and science -- Modernity and religious belief -- Naturalism -- Do the natural sciences undermine religious belief? -- Objections from the social sciences -- Religious uses of modern atheism -- The problem of evil -- Types of evil, versions of the problem, and types of response -- The logical form of the problem -- The evidential form of the problem -- Horrendous evils and the problem of hell -- Divine hiddenness -- Faith(s) and reason -- Faith : subjectivity in religious arguments -- The evidentialist challenge to religious belief -- Reformed epistemology -- The place of subjectivity in forming beliefs -- Interpretive judgments and the nature of a cumulative case -- Can faith be certain? -- Faith and doubt : can religious faith be tested? -- What is faith? -- Could one religion be true? (shrink)