We consider the desirability, or otherwise, of various forms of induction in the light of certain principles and inductive methods within predicate uncertain reasoning. Our general conclusion is that there remain conflicts within the area whose resolution will require a deeper understanding of the fundamental relationship between individuals and properties.

We present here a direct elementary construction of continuous utility functions on perfectly separable totally preordered sets that does not make use of the well-known Debreu’s open gap lemma. This new construction leans on the concept of a separating countable decreasing scale. Starting from a perfectly separable totally ordered structure, we give an explicit construction of a separating countable decreasing scale, from which we show how to get a continuous utility map.

ABSTRACTThis article discusses the French debate of the 1580s over the status of the Salic Law and its influence upon an important text in English political thought, Robert Persons’s Conference about the next Succession to the Crowne of Ingland. Polemicists on both sides of the conflict between Henri of Navarre and the Catholic League, from Pierre de Belloy to the pseudonymous ‘Rossaeus’, sought to explain the French royal succession using a concept of custom drawn from Roman law. Custom offered these (...) thinkers a way to explain the Salic Law’s peculiar limitation of the succession to males descended agnatically, but it could also be taken to imply that the people, from whom it originated, were in some way superior to the king. The concept was exploited most effectively by Rossaeus, who translated what had been a legal discourse into a freer language of political naturalism. Rossaeus’s interpretation of custom was adapted and exploited by Robert Persons in the Conference about the next Succession to the Crowne of Ingland. While, then, much of the Conference’s contemporary influence derived from how its argument mapped onto English constitutional geography, it originated as a continuation of League political thought. (shrink)

First published in 1908 as the second edition of a 1900 original, this book explains the content of the fifth and sixth books of Euclid's Elements, which are primarily concerned with ratio and magnitudes. Hill furnishes the text with copious diagrams to illustrate key points of Euclidian reasoning. This book will be of value to anyone with an interest in the history of education.

The "Dutch Book" argument, tracing back to Ramsey and to deFinetti, offers prudential grounds for action in conformity with personal probability. Under several structural assumptions about combinations of stakes, your betting policy is coherent only if your fair odds are probabilities. The central question posed here is the following one: Besides providing an operational test of coherent betting, does the "Book" argument also provide for adequate measurement of the agents degrees of beliefs? That is, are an agent's fair odds also (...) his/her personal probabilities for those events? We argue the answer is "No!" The problem is caused by the possibility of state dependent utilities. (shrink)

In this 1974 book a practising scientist and gifted expositor sets forth an exciting point of view on the nature of science and how it works.

The “Dutch Book” argument, tracing back to Ramsey (1926) and deFinetti (1974), offers prudential grounds for action in conformity with personal probability. Under several structural assumptions about combinations of stakes (that is, assumptions about the combination of wagers), your betting policy is consistent (coherent) only if your fair-odds are probabilities. The central question posed here is the following one: Besides providing an operational test of coherent betting, does the “Book” argument also provide for adequate measurement (elicitation) of the agent’s degrees (...) of beliefs? That is, are an agent’s fairodds also his/her personal probabilities for those events?We argue the answer is “No!” The problem is created by state-dependent utilities. The methods of elicitation proposed by Ramsey, by deFinetti and by Savage (1954), are inadequate to the challenge of state-dependent values.1. (shrink)

Médecins Sans Frontières is not morally required to continue providing the same therapeutic and preventative interventions for lead poisoning in Nigeria in the face of conditions that negatively impact on the achievement of their objectives. Nevertheless, Médecins Sans Frontières may have reasons to revise their objectives and adopt different interventions or methods.

Theodor W. Adorno is best known for his contributions to aesthetics and social theory. Critics have always complained about the lack of a practical, political or ethical dimension to Adorno's philosophy. In this highly original contribution to the literature on Adorno, J. M. Bernstein offers the first attempt in any language to provide an account of the ethical theory latent in Adorno's writings. Bernstein relates Adorno's ethics to major trends in contemporary moral philosophy. He analyses the full range of Adorno's (...) major works, with a special focus on Dialectic of Enlightenment, Minima Moralia and Negative Dialectics. In developing his account Bernstein lays particular stress on Adorno's contention that the event of Auschwitz demands a new categorical imperative. This book will be widely acknowledged as the standard work on Adorno's ethics and as such will interest professionals and students of philosophy, political theory, sociology, history of ideas, art history and music. (shrink)

In On the Origin of Species, Charles Darwin put forward his theory of natural selection. Conventionally, Darwin's argument for this theory has been understood as based on an analogy with artificial selection. But there has been no consensus on how, exactly, this analogical argument is supposed to work – and some suspicion too that analogical arguments on the whole are embarrassingly weak. Drawing on new insights into the history of analogical argumentation from the ancient Greeks onward, as well as on (...) in-depth studies of Darwin's public and private writings, this book offers an original perspective on Darwin's argument, restoring to view the intellectual traditions which Darwin took for granted in arguing as he did. From this perspective come new appreciations not only of Darwin's argument but of the metaphors based on it, the range of wider traditions the argument touched upon, and its legacies for science after the Origin. (shrink)