William Ernest Johnson was a renowned British logician and economist, and also a fellow of King's College, Cambridge. Originally published in 1921, this book forms the first of a three-volume series by Johnson relating to 'the whole field of logic as ordinarily understood'. The series is widely regarded as Johnson's greatest achievement, making a significant contribution to the tradition of philosophical logic. This book will be of value to anyone with an interest in Johnson's theories, philosophy and the historical development (...) of logic. (shrink)

In a preceding paper [1] it was shown that quantum logic, given by the tableaux-calculus Teff, is complete and consistent with respect to the dialogic foundation of logics. Since in formal dialogs the special property of the 'value-definiteness' of propositions is not postulated, the calculus $T_{eff}$ represents a calculus of effective (intuitionistic) quantum logic. Beginning with the tableaux-calculus the equivalence of $T_{eff}$ to calculi which use more familiar figures such as sequents and implications can be investigated. In this paper we (...) present a sequents-calculus of Gentzen-type and a propositional calculus of Brouwer-type which are shown to be equivalent to $T_{eff}$ . The effective propositional calculus provides an interpretation for a lattice structure, called quasi-implicative lattice. If, in addition, the value-definiteness of quantum mechanical propositions is postulated, a propositional calculus is obtained which provides an interpretation for a quasi-modular orthocomplemented lattice which, as is well-known, has as a model the lattice of subspaces of a Hilbert space. (shrink)

This is the reading of M. presumably arose from a dittography . has been generally accepted. The adverbial use of an adjective qualifying the subject of an imperative appears to be at least unusual; no examples are quoted by Kühner–Gerth, i. 274–6. Robortello, followed by Tucker, preferred : but the earliest certain appearance of the adverb seems to be in Aristotle. I would propose : cf. Supp. 1015, Th. 34. This is no less satisfactory palaeographically, and the participle is demonstrably (...) idiomatic Greek. (shrink)

In this article, the author focuses on the allocation of decision-making authority between parents and physicians. She argues that parents should have substantial room to decide whether genetic testing is good for their child and that they may appropriately consider interests in addition to those of their child in making such choices. A physician, however, may refuse to act pursuant to parental views about testing, when in the physician's view, the parents' choices would pose a risk of significant harm to (...) the child. The balance of control between parents and physicians is illustrated by discussion of a series of case vignettes. Refusal to perform requested testing is most often warranted for testing for carrier status and for genetic predisposition to late onset disease. The author concludes her analysis by discussing why it is appropriate to give increasing deference to the views of the child as the child grows older. (shrink)

The rhetorical treatises of Aristotle and Anaximenes, in discussing the introduction of a speech, recognize that a speaker may encounter prejudice on the part of his audience for some reason or other; perhaps because of his own character or reputation, or because of the nature of the case he is pleading, or because his opponent has already won their approval. Anaximenes describes a speaker in this situation as and he and Aristotle give advice on countering such if they have arisen (...) . Rather more than two centuries later we find the early Latin rhetoricians expounding the doctrine of insinuatio for dealing with such a situation; they distinguish between principium, the ordinary direct introduction, and insinuatio, the ‘subtle approach’. (shrink)