It is often said to-day that mathematics is nothing but an extension or development of logic; indeed, the identity of logic and pure mathematics is alleged so confidently by persons whose mathematical attainments entitle them to consideration when they talk about the subject-matter of mathematics, as to be in danger of being ranked with the truths that an educated man should accept on the authority of the specialist. Yet a little reflection might at least make one hesitate. For whatever else (...) may be said about logic, it is generally allowed to study thinking. Some would say merely that it studies inference; but inference is thinking. Now the mathematician thinks and infers, but he does not study the activity of thinking and inferring; and a study of that activity would never make the discoveries credited to the mathematicians. (shrink)

An English language translation accompanies the original Greek text of Aristotle's book about the nature of the state, constitutions, revolutions, democracy, and oligarchy.

First published in 1938. The aim of this book is to expound Kant’s _Critique of Judgement _by interpreting all the details in the light of what Kant himself declares to be his fundamental problem. _A Commentary on Kant’s Critique of Judgement _provides an excellent introduction to Kant’s third critique, and will be of interest to students of philosophy.

First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.

'Uncertainty and chance' is a subject with a broad span, in that there is no academic discipline or walk of life that is not beset by uncertainty and chance. In this book a range of approaches is represented by authors from varied disciplines: natural sciences, mathematics, social sciences and medical sciences. At one extreme, this volume is concerned with the foundations of probability. At the other extreme, we have scholars who acknowledge the concept of chance and uncertainty but do not (...) cope with it by means of systematic measurement or quantative analysis. (shrink)

"First published by Oxford University Press, 1916."--Title page verso.

The significance of the dating of Enmann's Kaisergeschichte in the controversy which has long surrounded the Historia Augusta is common knowledge to all scholars who have more than a nodding acquaintance with the period. Enmann himself concluded that the KG ended with or shortly after Diocletian's accession. This was a necessary hypothesis for Enmann in 1884 because the H.A. had clearly used the KG and the self-proclaimed authorship and dating of the former were generally accepted. None the less in Enmann's (...) opinion the resemblances between Victor and Eutropius continued into the sole reign of Constantius II down to the Battle of Strasbourg in 357 and Enmann was compelled to ascribe this to a ‘continuation’ of the KG. (shrink)