In Spandrels of Truth, Beall concisely presents and defends a modest, so-called dialetheic theory of transparent truth.

Consequence is at the heart of logic, and an account of consequence offers a vital tool in the evaluation of arguments. This text presents what the authors term as 'logical pluralism' arguing that the notion of logical consequence doesn't pin down one deductive consequence relation; it allows for many of them.

A good argument is one whose conclusions follow from its premises; its conclusions are consequences of its premises. But in what sense do conclusions follow from premises? What is it for a conclusion to be a consequence of premises? Those questions, in many respects, are at the heart of logic (as a philosophical discipline). Consider the following argument: 1. If we charge high fees for university, only the rich will enroll. We charge high fees for university. Therefore, only the rich (...) will enroll. There are many different things one can say about this argument, but many agree that if we do not equivocate (if the terms mean the same thing in the premises and the conclusion) then the argument is valid, that is, the conclusion follows deductively from the premises. This does not mean that the conclusion is true. Perhaps the premises are not true. However, if the premises are true, then the conclusion is also true, as a matter of logic. This entry is about the relation between premises and conclusions in valid arguments. (shrink)

The Liar paradox raises foundational questions about logic, language, and truth (and semantic notions in general). A simple Liar sentence like 'This sentence is false' appears to be both true and false if it is either true or false. For if the sentence is true, then what it says is the case; but what it says is that it is false, hence it must be false. On the other hand, if the statement is false, then it is true, since it (...) says (only) that it is false. -/- How, then, should we classify Liar sentences? Are they true or false? A natural suggestion would be that Liars are neither true nor false; that is, they fall into a category beyond truth and falsity. This solution might resolve the initial problem, but it beckons the Liar's revenge. A sentence that says of itself only that it is false or beyond truth and falsity will, in effect, bring back the initial problem. The Liar's revenge is a witness to the hydra-like nature of Liars: in dealing with one Liar you often bring about another. -/- JC Beall presents fourteen new essays and an extensive introduction, which examine the nature of the Liar paradox and its resistance to any attempt to solve it. Written by some of the world's leading experts in the field, the papers in this volume will be an important resource for those working in truth studies, philosophical logic, and philosophy of language, as well as those with an interest in formal semantics and metaphysics. (shrink)

In the late nineteenth century and the early decades of the twentieth thematic resemblances to the Roman elegists in Paulus Silentiarius were explained as the result of the poets' reliance on a common Hellenistic source – usually this was identified as the so-called ‘subjective Alexandrian love elegy’ – and this represented a departure from the views of earlier scholars such as Hertzberg and Postgate, who had maintained that Paulus knew and imitated the elegists. In recent years the pendulum has swung (...) back , and the prevailing opinion seems to be that the Roman elegists were known to Paulus. This is the view of, for instance, Giovanni Viansino in his edition of Paulus, of Elmar Schulz-Vanheyden in his important work on Propertius' relationship to Greek epigram, and of Hermann Beckby in his edition of the Greek Anthology. Recently, too, Gordon Williams has put forward a very strong case for earlier epigrammatists like Antipater and Crinagoras imitating the Augustan poets. (shrink)

Extensively classroom-tested, Possibilities and Paradox provides an accessible and carefully structured introduction to modal and many-valued logic. The authors cover the basic formal frameworks, enlivening the discussion of these different systems of logic by considering their philosophical motivations and implications. Easily accessible to students with no background in the subject, the text features innovative learning aids in each chapter, including exercises that provide hands-on experience, examples that demonstrate the application of concepts, and guides to further reading.

A recent publication1 describes a novel mechanism by which a morphogen gradient might be established. These results concern a gradient of FGF8 expression along the longitudinal axis of the chick embryo with a high level of transcripts at the tail, fading off in an anterior direction. Assaying for intron transcripts, it is shown that fgf8 is transcribed only in the tail cells and that the gradient of fgf8 transcripts is produced by growth and mRNA degradation. This possible mechanism of gradient (...) formation can operate only when growth is involved, as is the case in many examples including the longitudinal axis formation of vertebrates, but is not in some other systems. BioEssays 26:705–706, 2004. © 2004 Wiley Periodicals, Inc. (shrink)

The paper reviews a number of approaches for handling restricted quantification in relevant logic, and proposes a novel one. This proceeds by introducing a novel kind of enthymematic conditional.

Semantic and soritical paradoxes challenge entrenched, fundamental principles about language - principles about truth, denotation, quantification, and, among others, 'tolerance'. Study of the paradoxes helps us determine which logical principles are correct. So it is that they serve not only as a topic of philosophical inquiry but also as a constraint on such inquiry: they often dictate the semantic and logical limits of discourse in general. Sixteen specially written essays by leading figures in the field offer new thoughts and arguments (...) about the paradoxes. (shrink)

The two purposes of this essay. The general philosophical problem with most versions of social libertarianism and how this essay will proceed. The specific problem with liberty explained by a thought-experiment. The positive and abstract theory of interpersonal liberty-in-itself as ‘the absence of interpersonal initiated constraints on want-satisfaction’, for short ‘no initiated impositions’. The individualistic liberty-maximisation theory solves the problems of clashes, defences, and rectifications without entailing interpersonal utility comparisons or libertarian consequentialism. The practical implications of instantiating liberty: three rules (...) of liberty-in-practice, 1) initial ultimate control of one’s body, 2) initial ultimate control of one’s used resources, 3) consensual interpersonal interactions and resource transfers. These rules are economically efficient and maximise general want-satisfaction. Private property and legal remedies are additional practical institutional aspects, but to which ‘initiated impositions’ then apply prima facie. Libertarian law is often mistaken for complete libertarianism. Moral explanations are a separate issue. The three main moral theories imply libertarianism, but it can be morally posited independently of them. Critical rationalism and its application. No empirical or argumentative support for theories. An important ambiguity with ‘justification’. How the epistemology applies to the theory of liberty and its application but remains separable in principle. Conclusion: there are further published explanations but this should be enough to generate useful criticism. Appendix replying to some typical comments. (shrink)

Semantic and soritical paradoxes challenge entrenched, fundamental principles about language - principles about truth, denotation, quantification, and, among others, 'tolerance'. Study of the paradoxes helps us determine which logical principles are correct. So it is that they serve not only as a topic of philosophical inquiry but also as a constraint on such inquiry: they often dictate the semantic and logical limits of discourse in general. Sixteen specially written essays by leading figures in the field offer new thoughts and arguments (...) about the paradoxes. (shrink)

I have argued that without an adequate solution to the knower paradox Fitch's Proof is- or at least ought to be-ineffective against verificationism. Of course, in order to follow my suggestion verificationists must maintain that there is currently no adequate solution to the knower paradox, and that the paradox continues to provide prima facie evidence of inconsistent knowledge. By my lights, any glimpse at the literature on paradoxes offers strong support for the first thesis, and any honest, non-dogmatic reflection on (...) the knower paradox provides strong support for the second. Whether verificationists want to go the route I've suggested is not for me todecide. As in the previous section my aim has been that of defending the mere viability of verificationism in the face of what many, many philosophers have taken to be its death-knell, namely Fitch's Proof. But, as the final objection makes clear, showing that verificationism can live in the face of Fitch's Proof is one thing; showing that it should live is another project. If nothing else, I hope that this papershows that verificationists still have a project to pursue; Fitch's Proof, contrary to popular opinion, need not bury verificationism.13. (shrink)

We are pluralists about logical consequence [1]. We hold that there is more than one sense in which arguments may be deductively valid, that these senses are equally good, and equally deserving of the name deductive validity. Our pluralism starts with our analysis of consequence. This analysis of consequence is not idiosyncratic. We agree with Richard Jeffrey, and with many other philosophers of logic about how logical consequence is to be defined. To quote Jeffrey.

Little, if anything, in Justin scholarship has been as controversial as the dating of the so-called Epitome of the Philippic History of Pompeius Trogus. Suggested dates have varied from the time of Antoninus Pius through the third century to the end of the fourth. The latter was proposed in 1988 by Sir Ronald Syme, but has in fact received little support in subsequent literature on Justin, which has tended to accept the earlier dating . An exception is T. D. Barnes, (...) who has voiced support for a later dating based on a linguistic parallel to Justin in the Historia Augusta. Barnes observes that Oscar Hey, author of the article ducatus in TLL , drew attention to the similarity between Justin 30.2.5 Agathocles regis lateri iunctus civitatem regebat, tribunatus et praefecturas et ducatus mulieres ordinabant and HA Heliog. 6.2 militaribus… praeposituris et legationibus et ducatibus venditis. Hey, he notes, refers at the head of that particular section of the article to Seeck's article on dux. Seeck had demonstrated—and this is now taken for granted by scholars—that from the time of Diocletian dux is used technically as a formal title, and, in drawing attention to the parallel between HA Heliog. 6.2 and Justin, Hey must have been intimating that Justin is, like the author of Heliog. 6.2, using ducatus as a formal title. He then seems to suggest that Hey was right and Justin is to be dated to at least some time after 260. (shrink)

Books 31 to 40 of Livy's history chart Rome's emergence as an imperial nation and the Romans tempestuous involvement with Greece, Macedonia and the near East in the opening decades of the second century BC; they are our most important source for Graeco-Roman relations in that century. Livy's dramatic narrative includes the Roman campaigns in Spain and against the Gallic tribes of Northern Italy; the flight of Hannibal from Carthage and his death in the East; the debate on the Oppian (...) law; and the Bacchanalian Episode. (shrink)

In his very valuable study of generic patterns in ancient poetry Francis Cairns assigns Propertius 2.28, [Tib.] 3.10 , and Ovid Am. 2.13 to the genre Soteria, that is works of congratulation and thanksgiving on the recovery from illness of a friend, and he sees the resemblances between the poems as due to the elegists’ attempts to produce ‘dramatized’ examples of the genre, with the situation developing from the girl's illness at the beginning of the poem to her recovery at (...) the end , pp.153–7). Cairns's arguments and interpretation of the poems should, I feel, be scrutinized carefully, especially since his classification of the poems has been accepted recently without demur by at least one scholar , 118 and n.50). (shrink)

In this paper I consider, in connection with dementia, two views of the person. One view of the person is derived from Locke and Parfit. This tends to regard the person solely in terms of psychological states and his/her connections. The second view of the person is derived from a variety of thinkers. I have called it the situated-embodied-agent view of the person. This view, I suggest, more readily squares with the reality of clinical experience. It regards the person as (...) embedded in a history and culture. The human person is also an embodied agent. I contend that this view encourages a more appropriate approach towards the ethical issues that arise in dementia and towards people with dementia. (shrink)

The Liar paradox raises foundational questions about logic, language, and truth. A simple Liar sentence like 'This sentence is false' appears to be both true and false if it is either true or false. For if the sentence is true, then what it says is the case; but what it says is that it is false, hence it must be false. On the other hand, if the statement is false, then it is true, since it says that it is false.How, (...) then, should we classify Liar sentences? Are they true or false? A natural suggestion would be that Liars are neither true nor false; that is, they fall into a category beyond truth and falsity. This solution might resolve the initial problem, but it beckons the Liar's revenge. A sentence that says of itself only that it is false or beyond truth and falsity will, in effect, bring back the initial problem. The Liar's revenge is a witness to the hydra-like nature of Liars: in dealing with one Liar you often bring about another.JC Beall presents fourteen new essays and an extensive introduction, which examine the nature of the Liar paradox and its resistance to any attempt to solve it. Written by some of the world's leading experts in the field, the papers in this volume will be an important resource for those working in truth studies, philosophical logic, and philosophy of language, as well as those with an interest in formal semantics and metaphysics. (shrink)