There have been and continue to be disagreements about how to consider the traditional square of opposition and the traditional inferences of obversion, conversion, contraposition and inversion from the perspective of contemporary quantificational logic. Philosophers have made many different attempts to save traditional inferences that are invalid when they involve empty classes. I survey some of these attempts and argue that the only satisfactory way of saving all the traditional inferences is to make the existential assumption that both the subject (...) and predicate classes and their complement classes are non-empty for all the propositions we admit. I briefly indicate the room for continued controversy over how properly to interpret Aristotle's statements regarding these inferences, but find some plausibility in the views of Manley Thompson and A.N.Prior that Aristotle had in mind a particular arrangement of existential import unfamiliar to most contemporary logicians. (shrink)

I want to put forward a certain view of the logical foundation of religious belief. It is, in a sentence, the view that religious belief is constituted by the concept of god. This view will be discussed under three headings. First, I shall explain as clearly as I can what I mean by it. Secondly, I shall indicate what seem to me to be interesting parallels, both with regard to universes of discourse in general and to religious belief in particular, (...) between my idea of a constitutive concept and Wittgenstein's ideas of a fundamental proposition and a religious ‘picture’. Thirdly, I shall try to substantiate the view I take of the logical foundation of religious belief by rebutting three conceivable objections to it: namely, that it rests on an illegitimate craving for generality, that it is at variance with common usage, and that it consigns religious belief to an intellectual ghetto. (shrink)

At the beginning of his book, Principles of Christian Theology, John Macquarrie says that theology ‘implicitly claims to have its place in the total intellectual endeavour of mankind’. The question I want to discuss is this: in what terms, if any, can that claim be justified?

W D Hudson; Educating, Socialising and Indoctrination: a reply to Tasos Kazepides, Journal of Philosophy of Education, Volume 16, Issue 2, 30 May 2006, Pages 16.

W D Hudson; Learning to be Rational, Journal of Philosophy of Education, Volume 11, Issue 1, 30 May 2006, Pages 39–56, https://doi.org/10.1111/j.1467-9752.1977.

The fact of evil has worried theists for a long time. The earliest clear statement of this worry is perhaps to be found in the book of Habbakuk: (i, 13). More precisely formulated, it comes to this: if God is good and omnipotent, why evil ? From his goodness it would follow necessarily that he does not will evil and from his omnipotence that he could prevent it; why then should it occur? Theists have attempted to escape from this dilemma (...) by means of an argument which turns on the claim that human beings are, to some degree at any rate, free to choose and act as they will. They are free to do good or evil; frequently they choose the latter and that is why evils, or at least many of them, occur. This human freedom, however, is a necessary condition of personality and, as such, a great good; so it is perfectly consistent with the goodness of God that he should will it. But what of his omnipotence? The point of the argument is that God has to allow those evils which result from men making evil choices, and this certainlylooks, at first blush, like a limitation of his power. But, we are assured,it is not really a limitation because all it amounts to is that God cannot do the logically impossible, viz., make beings who, at one and the same time, are both free to do what they will and pre-determined to do good.To deny that God can do the logically impossible, of course, is not to den his omnipotence; it is merely to point out that there are some things which it would not make sense to say that he had done. (shrink)

Did Wittgenstein think that language-games have presuppositions? He sometimes speaks as if he thought that they do, at other times as though he thought that they do not. For examples, in On Certainty 110, after pointing out that the business of giving grounds for what we say has to come to an end sometime, he remarks, ‘but the end is not an ungrounded presupposition’; whereas, in 115, after warning us that if we try to doubt everything we shall not get (...) as far as doubting anything, he gives as his reason ‘the game of doubting itself presupposes certainty’. It is of some importance for a correct understanding of Wittgenstein to clear up this apparent contradiction. (shrink)

Pupils' notes of some lectures on religious belief which Wittgenstein gave in 1938 have recently been published, and what I have to say is set against the background of these lectures. My title may suggest that there is a distinctive and precise account of religious belief which can be extracted from them and stated clearly for consideration. But I do not think that this is so. It is evident from these lectures that, in the subject of religious belief, Wittgenstein's prodigious (...) capacity for puzzlement, in which Moore recognised the marks of genius, found full scope. But, at many points, it is not clear to me, at any rate, just how he is resolving – or would resolve – the puzzlement. So I am most certainly not setting myself up to explain ‘what Wittgenstein really meant’. However, like everything which we have from him, these lectures are fascinating, suggestive, provocative. And, at some hazard, I am going to offer a few observations on one or two of the points which he was, or appears to have been, making. (shrink)

Ethics and politics are inseparable sciences. Understanding them requires that we understand human nature and right reason.