According to platonists, entities such as numbers, sets, propositions and properties are abstract objects. But abstract objects lack causal powers and a location in space and time, so how could we ever come to know of the existence of such impotent and remote objects? In Knowledge, Cause, and Abstract Objects, Colin Cheyne presents the first systematic and detailed account of this epistemological objection to the platonist doctrine that abstract objects exist and can be known. Since mathematics has such a central role in the acquisition of scientific knowledge, he concentrates on...
According to platonists, entities such as numbers, sets, propositions and properties are abstract objects. But abstract objects lack causal powers and...
Ernst Mach (1838-1916) was a seminal philosopher-scientist and a deserving member of the canon of major twentieth-century thinkers. Yet, despite a healthy resurgence in Mach studies, he is still widely thought to represent a simplistic positivist, even sensationalist, position that does not at all reflect the depth of Mach's interests and subtlety as a philosopher. By exploring Mach's views on science as well as philosophy, this book attempts to wrest him free from his customary association with logical positivism and to reinterpret him on his own terms as a natural philosopher and naturalist...
Ernst Mach (1838-1916) was a seminal philosopher-scientist and a deserving member of the canon of major twentieth-century thinkers. Yet, despite a hea...
The Fifth International Congress of Logic, Methodology and Philosophy of Science was held at the University of Western Ontario, London, Canada, 27 August to 2 September 1975. The Congress was held under the auspices of the International Union of History and Philosophy of Science, Division of Logic, Methodology and Philosophy of Science, and was sponsored by the National Research Council of Canada and the University of Western Ontario. As those associated closely with the work of the Division over the years know well, the work undertaken by its members varies greatly and spans a number of...
The Fifth International Congress of Logic, Methodology and Philosophy of Science was held at the University of Western Ontario, London, Canada, 27 Aug...
1. INTRODUCTION In the Spring of 1975 we held an international workshop on the Foundations and Application of Decision Theory at the University of Western Ontario. To help structure the workshop into ordered and manageable sessions we distri- buted the following statement of our goals to all invited participants. They in turn responded with useful revisions and suggested their own areas of interest. Since this procedure provided the eventual format of the sessions, we include it here as the most appropriate introduction to these collected papers result- ing from the workshop. The reader can...
1. INTRODUCTION In the Spring of 1975 we held an international workshop on the Foundations and Application of Decision Theory at the University of Wes...
The concept of likeness to truth, like that of truth itself, is fundamental to a realist conception of inquiry. To demonstrate this we need only make two rather modest aim of an inquiry, as an inquiry, is realist assumptions: the truth doctrine (that the the truth of some matter) and the progress doctrine (that one false theory may realise this aim better than another). Together these yield the conclusion that a false theory may be more truthlike, or closer to the truth, than another. It is the aim of this book to give a rigorous philosophical analysis of the concept of likeness to truth, and...
The concept of likeness to truth, like that of truth itself, is fundamental to a realist conception of inquiry. To demonstrate this we need only make ...
This book explores and articulates the concepts of the continuous and the infinitesimal from two points of view: the philosophical and the mathematical. The first section covers the history of these ideas in philosophy. Chapter one, entitled ‘The continuous and the discrete in Ancient Greece, the Orient and the European Middle Ages,’ reviews the work of Plato, Aristotle, Epicurus, and other Ancient Greeks; the elements of early Chinese, Indian and Islamic thought; and early Europeans including Henry of Harclay, Nicholas of Autrecourt, Duns Scotus, William of Ockham,...
This book explores and articulates the concepts of the continuous and the infinitesimal from two points of view: the philosophical and the mathemat...