Gaisi Takeuti has recently proposed a new operation on orthomodular latticesL, $\begin{array}{*{20}c} \parallel \\ \_ \\ \end{array} $ :P(L)»L. The properties of $\begin{array}{*{20}c} \parallel \\ \_ \\ \end{array} $ suggest that the value of $\begin{array}{*{20}c} \parallel \\ \_ \\ \end{array} $ (A) (A) $ \subseteq $ L) corresponds to the degree in which the elements ofA behave classically. To make this idea precise, we investigate the connection between structural properties of orthomodular latticesL and the existence of two-valued homomorphisms onL.

Gaisi Takeuti has recently proposed a new operation on orthomodular lattices L, ⫫: $\scr{P}(L)\rightarrow L$ . The properties of ⫫ suggest that the value of ⫫ $(A)(A\subseteq L)$ corresponds to the degree in which the elements of A behave classically. To make this idea precise, we investigate the connection between structural properties of orthomodular lattices L and the existence of two-valued homomorphisms on L.

Gaisi Takeuti has recently proposed a new operation on orthomodular lattices L, ⫫: $\scr{P}\rightarrow L$ . The properties of ⫫ suggest that the value of ⫫ $$ corresponds to the degree in which the elements of A behave classically. To make this idea precise, we investigate the connection between structural properties of orthomodular lattices L and the existence of two-valued homomorphisms on L.

Explores the moral dimensions of the current global role of the U.S. military.

This book is an extensive survey and critical examination of the literature on the use of expert opinion in scientific inquiry and policy making. The elicitation, representation, and use of expert opinion is increasingly important for two reasons: advancing technology leads to more and more complex decision problems, and technologists are turning in greater numbers to "expert systems" and other similar artifacts of artificial intelligence. Cooke here considers how expert opinion is being used today, how an expert's uncertainty is or (...) should be represented, how people do or should reason with uncertainty, how the quality and usefulness of expert opinion can be assessed, and how the views of several experts might be combined. He argues for the importance of developing practical models with a transparent mathematic foundation for the use of expert opinion in science, and presents three tested models, termed "classical," "Bayesian," and "psychological scaling." Detailed case studies illustrate how they can be applied to a diversity of real problems in engineering and planning. (shrink)

Methylation of DNA plays an important role in the control of gene expression in higher eukaryotes. This is largely achieved by the packaging of methylated DNA into chromatin structures that are inaccessible to transcription factors and other proteins. Methylation involves the addition of a methyl group to the 5‐position of the cytosine base in DNA, a reaction catalysed by a DNA (cytosine‐5) methyltransferase. This reaction occurs in nuclear replication foci where the chromatin structure is loosened for replication, thereby allowing access (...) to methyltransferases. Partly as a result of their recognising the presence of a methylcytosine on the parental strand following replication, these large enzymes are able to maintain the distribution of methyl groups along the DNA of somatic cells and, thereby, maintain tissue‐specific patterns of gene expression. (shrink)

Several essays, articles, and papers have appeared during the last fifteen years which have shed light on the place and function of science in the intellectual life of eighteenth-century Scotland. Some have concentrated on ideological factors such as the increasing concerns with polite culture, improvement, and the reaction of the Scottish élite to the Act of Union. Others have noted the roles of Jacobites and Whigs in the production of a culture which was unique to Scotland. The generalist educational ideals (...) held by Scots have been explored, as have their philosophical, methodological, and mathematical traditions. Another set of papers has fruitfully examined ‘the social role of knowledge’ and has attempted through studies of the politics of Scottish science and a consideration of its audience to show how the characteristics of local provincial society could influence if not ‘determine scientific activity, its social organization or intellectual structure’. Concerns with the institutionalization of scientific activities and the acceptance of new values have also led to studies of the universities, medical corporations, and societies which provided focuses for scientific enquiry. All of these studies have emphasized the aspects of science north of the Tweed between about 1690 and 1830 which seem uniquely Scottish. No one would deny the value of these works but perhaps it is now time to redress the balance and to notice how typical much of the scientific work of the Scots was, and how easily it and the institutions through which it was pursued can be fitted into the wider context of the European Enlightenment. (shrink)

The Philosophical Society of Edinburgh which had flourished for a few years after 1738 was as good as dead in 1748. Lord Morton, its President, now lived most of the time in London whence he wrote to Sir John Clerk in 1747 that he regarded the Society as ‘annihilated’, apparently thinking that the death of Colin MacLaurin in 1746 and the temporary retirement to the countryside of its other Secretary, Andrew Plummer, had put an end to it. Sir John had (...) hoped to revive it through association with the Royal Society of London, but Morton did not encourage him in this scheme, about which he had ‘great doubts’. The Society needed a mathematician and an experimenter who could carry on the consulting work which MacLaurin had done, but Morton glumly wondered if ‘the new professor of Mathematics [Matthew Stewart] will be as zealous as MacLaurin had been.’ The Society's other officers, Dr John Clerk and Alexander Lind, are not known to have tried to revive the Society. Perhaps they were discouraged by the fact that ten of the members of the Society were dead, and that six more had left the kingdom. At least three others were likely to have been habitually absent from meetings because they lived some distance from Edinburgh. Of the remaining forty-five known members in 1748, nine were over sixty-one years of age with four being between seventy-one and seventy-six. In 1737 the average age of thirty-eight of the founders had been 46.0, but by 1748 it had risen to 53.9 for the thirty-three men for whom it can be calculated. Disruption, death, and age had diminished enthusiasm for the Society and jeopardized its survival. Only two meetings are known to have been held in 1746. Sir John's letter to Morton about affiliation with the Royal Society is the only clear sign of life in 1747. We may well ask why this floundering body survived, to whom and to what it owed its revival? The answers to these questions tell us something about the intellectual needs and interests of the Edinburgh intelligentsia of the mid-eighteenth century. (shrink)

This paper shows that in late seventeenth-century Scotland there existed a sizeable virtuoso community whose leaders were abreast of European developments in philosophy, history and science. Moreover, by c. 1700, Sir Robert Sibbald was attempting to organize a learned society modelled upon those he knew in Europe and upon London's Royal Society. The interests of the virtuosi and their attempts to institutionalize their pursuits laid much of the ground work for the Scottish Enlightenment. The Royal Society of Scotland which Sir (...) Robert hoped to found never became a reality, but the academic ideals which he propounded came to fruition in the Philosophical Society of Edinburgh and later bodies such as the Royal Society of Edinburgh and the Society of Antiquaries of Scotland. The intellectual inquiries and achievements of Sir Robert and his friends, particularly those in medicine and natural history, continued to be of interest to later Scots. They, thanks in part to the influence of the Newtonian physician Archibald Pitcaire, improved upon Sibbald's naïve Baconianism, but to a surprising degree their concerns had also been his. (shrink)

The story of the end of the Philosophical Society of Edinburgh in 1783, is linked with that of the founding of the Society of Antiquaries of Scotland and the Royal Society of Edinburgh , both of which were given Royal Charters sealed on 6 May 1783. It is a story which has been admirably told by Steven Shapin. He persuasively argued that the P.S.E. was a casualty of bitter quarrels rooted in local Edinburgh politics, in personal animosities and in disputes (...) about the control of cultural property and intellectual leadership. In all this he was surely correct just as he was in finding the principal actors in this controversy to be: David Erskine, 11th Earl of Buchan; the Reverend Dr John Walker, Professor of Natural History in Edinburgh University; Dr William Cullen, Professor of the Theory and Practice of Medicine and Vice-President of the P.S.E.; Mr William Smellie, Printer to the Society of Antiquaries; Henry Home, Lord Kames, S.C.J. and President of the P.S.E.; Sir George Clerk-Maxwell, Vice-President of the P.S.E.; John Robison, Professor of Natural Philosophy and Secretary to the P.S.E.; Edinburgh University's Principal, William Robertson; the Curators of the Advocates Library: Ilay Campbell, Robert Blair, Alexander Abercromby, Alexander Fraser Tytler, Professor of Public Law; Henry Dundas, Lord Advocate and M.P. for Midlothian. In a peripheral way, the Royal Colleges of Physicians and Surgeons were probably also involved; so too were Lord Buchan's brothers, Henry and Thomas Erskine, Foxite Whigs who opposed Dundas politically. Henry Erskine displaced Dundas as Lord Advocate in August 1783. After the change of ministry on 18 December 1783 he was ousted, but became Dean of the Faculty of Advocates in 1785. National as well as burgh politics touched these disputes and gave the parties of the Erskines and Dundas and his friends some leverage in London. (shrink)

At various times in history, a single power finds itself, at least for its region and time, a 'sole remaining superpower'. This paper explores the parallels between Athens' superpower status at the end of the Persian War and the US's superpower status in the contemporary world. Athens mismanaged her situation in ways that precipitated her own demise in the Peloponnesian War. The question of what might be analogous to Athens' conduct in contemporary US policy is explored to serve as a (...) kind of 'cautionary tale' for modern US strategy. (shrink)

The Philosophical Society of Edinburgh Throughout the years 1768–1783 looked to the outside world like a flourishing and important body. By 1771 it had sponsored the publication of five volumes of papers which had gone through several printings and translations. It had a distinguished foreign membership which assured its recognition abroad as one of the important academic bodies in the cosmopolitan Republic of Letters. From its foundation in 1737 until his death in 1768, its President had been the Earl of (...) Morton, better known as the President of the Royal Society of London and as an astronomer who had been active in the practical work of the London society. Another member, Sir John Pringle, became President of the Royal Society in 1772. It was also known abroad that among the Edinburgh philosophers were to be found the most important professors of the town's university, not only those of its distinguished medical faculty but also men like William Robertson, Adam Ferguson and later John Robison. David Hume had been at one time a Secretary of the Society and probably remained a member to the end of his life in 1776. In the British colonies, the Society could point to members in Pennsylvania, South Carolina, Jamaica and other West Indian islands and it had contacts in a far-flung network reaching from China and Siberia in the east to places less remote in Europe and America. Within Britain, the Society had members in London and in provincial towns of whom William Brownrigg was the most important. From these men and from others scattered in Scotland, the Society drew information and projected its image as a successful learned society. These appearances, however, are far clearer than the Society's record of accomplishment during its last years. It is not accidental that so little pertaining to its work survives. The Society in reality had a career far from brilliant and by 1778 hardly deserved the reputation it had acquired. During its last five years it revived but even then it probably did not reach the level of activity seen in the early and mid 1750s. (shrink)

Amateur scientists were important in the science of the eighteenth century as patrons, investors in talent and new equipment, as the maintainers of gardens and libraries, and, occasionally, as men who could and did make discoveries or significant innovations. The article shows that the 3rd Duke of Argyll was one of these men. He was also much more. Ilay's interests in science, because of his important political position in Scotland, touched not only his immediate friends but helped to reshape Scottish (...) culture itself. This essay looks at his scientific interests, his political career, and his patronage to argue that the results of his long career in politics were to institutionalize a new set of modern values in most Scottish institutions. (shrink)

SummaryI contend on both theoretical and historical grounds that quantitative risk assessment is relevant for policy determination only as a cost estimate. In particular, it provides a method for estimating the costs of a hypothetical insurance policy against the potential liabilities associated with a given course of action. It is not relevant to the question of rational choice under risk.RésuméJe montre, en partant d'arguments aussi bien théoriques qu'historiques, que le calcul quanti‐tatif des risques n'aide à la détermination d'une politique à (...) suivre qu'en tant qu'estimation des coûts. En particulier, il fournit une méthode pour estimer les primes d'une police hypothétique d'assurance contre les responsabilites potentielles associées à une suite donnée d'actions. 11 ne permet pas un choix rationnel dans des situations comportant des risques.ZusammenfassungIch argumentiere, sowohl aus theoretischen als auch aus historischen Gründen, dass eine quantitative Risikoberechnung für die Wahl einer Handlungsweise nur als Kostenschätzung relevant ist. Namentlich bietet sie eine Methode, um die Prämie einer Versicherungspolice gegen pot‐entielle Haftbarkeit, welche mit den Vorgängen eines Aktionsverlaufs verbunden ist, zu bestim‐men. Bei der Frage einer rationalen Wahl in einer Risikosituation ist sie nicht relevant. (shrink)

The world in which the Scottish Enlightenment took shape -- Archibald Campbell, 3rd Duke of Argyll (1682-1761) : patronage and the creation of the Scottish Enlightenment -- How many Scots were enlightened? -- What did eighteenth-century Scottish students read? -- Our excellent and never to be forgotten friend : David Hume (26 April 1711- 25 August 1776) -- Hume's intellectual development : part II, 1711-1762 -- Hume's histories -- Hume's economics -- Numbering the medics -- Numbers and money -- Who (...) were they? -- The émigrés as they appear in the American sample. (shrink)

Inleiding wetenschapsfilosofie voor 3e jaarsstudenten wis- en natuurkunde aan de TH Delft en Universiteit van Amsterdam.

Los's probability semantics are used to identify the appropriate probability conditional for use in probabilistic explanations. This conditional is shown to have applications to probabilistic reasoning in expert systems. The reasoning scheme of the system MYCIN is shown to be probabilistically invalid; however, it is shown to be "close" to a probabilistically valid inference scheme.

Probabilistic reasoning is traditionally represented by inferences of the following form (also called probabilistic explanations):where A and B are one-place predicates in a first order language, P(A | B) is the conditional probability of observing A among individuals having property B, and q is close to one.This argument is not logically valid, as the premises may be true while the conclusion is false. Moreover, as it stands, the premises do not even make the conclusion plausible. It may be the case (...) that 90% of the population dies before the age of 85, and that individual j is a member of the population, but this in itself does not make it plausible that individual j will die before the age of 85. (shrink)

Recent years have witnessed a renewed scholarly interest in David Hume’s History of England (1754–1762), and this essay adds to that interest by analyzing the sources that Hume used in the History. Unfortunately, Hume did not provide a bibliography or guide to those sources, and no scholar has produced one since. We have been preparing a bibliography for publication and the following essay is a preliminary view of some of what it will show. It demonstrates that Hume consulted and used (...) more varied sources, and used them in more skillful ways, than commonly has been assumed. (shrink)

Subjective probability considered as a logic of partial belief succumbs to three fundamental fallacies. These concern the representation of preference via expectation, the measurability of partial belief, and the normalization of belief.

In the theory of explanation it is imperative that self-explanation be excluded; we cannot allow an explanandum to explain itself. This applies to the explanation of events and to the explanation of laws. In Nagel's account the following three features of a valid explanation of a universal law serve as a prophylaxis against self-explanation: “... all the premises are universal statements, there is more than one premise, each of which is essential in the derivation, and the premises, taken singly or (...) conjointly, do not follow logically from the explicandum”). (shrink)

Explores the moral dimensions of the current global role of the U.S. military.

A puzzle is generated by two intuitions about artworks: 1. There is no prima facie reason to take artworks to be mind-independent objects; 2. Aesthetic judgments are objective. These intuitions seem to be in tension, for if artworks or their aesthetic properties are mind-dependent, how can aesthetic judgments be objective? The common solution to the puzzle lies in rejecting or revising one of the two intuitions. Typically, realists reject 1, and many antirealists reject 2. I develop an antirealist aesthetic theory (...) that accommodates both intuitions, focusing on critical disagreement between epistemically optimal judges, realist difficulties with supervenience and response-dependence, the role of imagination in the experience of artworks, and the metaphorical quality of aesthetic discourse. The hallmark of realism, namely the mind-independence of aesthetic qualities, is an untenable commitment that yields an impoverished view of artworks. A cognitivist anti-realism is available which preserves the objectivity of aesthetic discourse and yields a richer conception of artworks and our interaction with them. (shrink)