T. D. Campbell; IV*—Equality of Opportunity, Proceedings of the Aristotelian Society, Volume 75, Issue 1, 1 June 1975, Pages 51–68, https://doi.org/10.1093/aris.

We begin with the idea that lines of reasoning are continuous mental processes and develop a notion of continuity in proof. This requires abstracting the notion of a proof as a set of sentences ordered by provability. We can then distinguish between discrete steps of a proof and possibly continuous stages, defining indexing functions to pick these out. Proof stages can be associated with the application of continuously variable rules, connecting continuity in lines of reasoning with continuously variable reasons. Some (...) examples of continuous proofs are provided. We conclude by presenting some fundamental facts about continuous proofs, analogous to continuous structural rules and composition. We take this to be a development on its own, as well as lending support to non-finitistic constructionism. (shrink)

The pages of the history of science record thousands of instances of similar discoveries having been made by scientists working independently of one another. Sometimes the discoveries are simultaneous or almost so; sometimes a scientist will make anew a discovery which, unknown to him, somebody else had made years before.

I propose to examine what I take to be the point at issue between subjectivist and objectivist theories of ethics and to explain that the controversy between them is unreal. It springs from a misunderstanding of the nature of appraisal sentences. What I hope to show is that if such sentences were really analysable in the way in which the critics and many of the supporters of subjectivist theories suppose, then those theories would indeed, as it is sometimes put “fail (...) to do justice to the facts of moral experience.” But it seems to me that objectivist theories are no better off. They make exactly the same mistake though in a more sophisticated way. I therefore propose to see whether any useful results can be achieved by construing appraisal sentences on rather different lines. By appraisal sentences I mean sentences of the form “I approve of …, I think well of …, I commend …, etc.” I shall call these simple appraisals, sentences of the form “… is good, … is meritorious, … is praiseworthy, etc.” I shall call these moral appraisals. In these terms, subjectivist theories assert that moral appraisals can always be expressed without change of meaning by simple appraisals, though perhaps the addition of an imperative sentence of some kind is required to complete the translation. Objectivist theories deny this possibility and claim that moral appraisals assert truths about the independent world and not psychological facts about the speaker. (shrink)

Recent debates about the biological and evolutionary conditions for sentience have generated a renewed interest in fine-grained functionalism. According to one such account advanced by Peter Godfrey-Smith, sentience depends on the fine-grained activities characteristic of living organisms. Specifically, the scale, context and stochasticity of these fine-grained activities. One implication of this view is that contemporary artificial intelligence is a poor candidate for sentience. Insofar as current AI lacks the ability to engage in such living activities it will lack sentience, no (...) matter what its coarse-grained functions. In this paper, we review the case for fine-grained functionalism and show that there are contemporary machines that fulfil the fine-grained functional criteria identified by Godfrey-Smith, and thus are candidates for sentience. Molecular machines such as Brownian computers are analogous to metabolic activity in their scale, context and stochasticity, and can serve as the basis of AI. Molecular computation is a promising candidate for artificial sentience according to contemporary philosophical accounts of sentience. (shrink)

Philosophical Studies Vol. 2, No. 2, p. 163, l. 24 for ‘Pocreon’ read “Creon’ and p. 165, l.4 for “Nereus” read “Nessus”, l. 16 for “Corrolate” read “Correlate” and l. 27 for “ Trachinae ” read “ Trachiniae ”. Proffessor Mackinnon should also have been described as Norris-Hulse Professor of Divinity in the University of Cambridge and Fellow of Corpus Christi College.

Quentin Smith contends that modern science provides enough evidence ‘to justify the belief that the universe began to exist without being caused to do so.’ There was a time when such a claim would have been dismissed because it conflicts with a principle absolutely fundamental to all human thought, including science itself. As Thomas Reid expressed the matter: That neither existence, nor any mode of existence, can begin without an efficient cause is a principle that appears very early in the (...) mind of man; and it is so universal, and so firmly rooted in human nature, that the most determined scepticism cannot eradicate it. (shrink)

This book is designed as an introduction to several basic philosophic problems for high school students and college freshmen. The discussion of the uses of language, meaning and reference, truth and verification are clear, simple, and brief. Their purpose is to stimulate questions and further research rather than to provide solutions. This purpose is admirably achieved.--T. D. Z.