'The most thorough and scrupulous of contemporary students of induction' (the execrable Quinton 1993, p. 172).

First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.

Coherent, well organized text familiarizes readers with complete theory of logical inference and its applications to math and the empirical sciences. Part I deals with formal principles of inference and definition; Part II explores elementary intuitive set theory, with separate chapters on sets, relations, and functions. Last section introduces numerous examples of axiomatically formulated theories in both discussion and exercises. Ideal for undergraduates; no background in math or philosophy required.

Recent discussions in the philosophy of science have devoted considerable attention to the analysis of conceptual issues relating to the methodology of explanation and prediction in the sciences. Part of this literature has been devoted to clarifying the very ideas of explanation and prediction. But the discussion has also ranged over various related topics, including the status of laws to be used for explanatory and predictive purposes, the logical interrelationships between explanatory and predictive reasonings, the differences in the strategy of (...) explanatory argumentation in different branches of science, the nature and possibility of teleological explanation, etc. The aim of the present article is to examine the issues involved in such questions from the specialized perspective afforded by one particular kind of physical systems--namely, systems, here to be characterized as discrete state systems, whose behavior has been studied extensively in the scientific literature under the general heading of Markov chains. These systems have been chosen as our focus because their behavior over time can be analyzed at once with great ease and with extraordinary precision. (shrink)

At the present time Tribunals, appointed under an Act of Parliament, are engaged all over England in dealing with claims to exemption from military service based on the ground of “conscientious objection” to taking part directly or indirectly in warlike activities. Now it is no part of the professional business of moral philosophers to tell people what they ought or ought not to do or to exhort them to do their duty. Moral philosophers, as such, have no special information, not (...) available to the general public, about what is right and what is wrong; nor have they any call to undertake those hortatory functions which are so adequately performed by clergymen, politicians, leader-writers, and wireless loudspeakers. But it is the function of a moral philosopher to reflect on the moral concepts and beliefs which he or others have; to try to analyse them and draw distinctions and clear up confusions in connection with them; and to see how they are inter-related and whether they can be arranged in a coherent system. Now there can be no doubt that the popular notions of “conscience” and “conscientious action” are extremely vague and confused. So I think that, by devoting this paper to an attempt to elucidate them, I may succeed in being topical without being impertinent. (shrink)