Paradoxes of the Infinite (Routledge Revivals)


Book Description

Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano’s Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.




Paradoxes of the Infinite (Routledge Revivals)


Book Description

Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano’s Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.







Frege, Dedekind, and Peano on the Foundations of Arithmetic (Routledge Revivals)


Book Description

First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for this growth of interest within both mathematics and philosophy and the ways in which this study of the foundations of arithmetic led to new insights in philosophy and striking advances in logic. This historical-critical study provides an excellent introduction to the problems of the philosophy of mathematics - problems which have wide implications for philosophy as a whole. This reissue will appeal to students of both mathematics and philosophy who wish to improve their knowledge of logic.




Encyclopedia of Cosmology (Routledge Revivals)


Book Description

The Encyclopedia of Cosmology, first published in 1993, recounts the history, philosophical assumptions, methodological ambiguities, and human struggles that have influenced the various responses to the basic questions of cosmology through the ages, as well as referencing important scientific theories. Just as the recognition of social conventions in other cultures can lead to a more productive perspective on our own behaviour, so too a study of the cosmologies of other times and places can enable us recognise elements of our own cosmology that might otherwise pass as inevitable developments. Apart from modern natural science, therefore, this volume incorporates brief treatments of Native American, Cave-Dweller, Chinese, Egyptian, Islamic, Megalithic, Mesopotamian, Greek, Medieval and Copernican cosmology, leading to an appreciation of cosmology as an intellectual creation, not merely a collection of facts. It is a valuable reference tool for any student or academic with an interest in the history of science and cosmology specifically.




From Mathematics to Philosophy (Routledge Revivals)


Book Description

First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge.




Routledge Revivals: Gulliver and the Gentle Reader (1991)


Book Description

Originally published in 1991, Gulliver and the Gentle Reader critically examines the writing of Jonathan Swift. The book is predominately concerned with what Rawson coins ‘the "unofficial" energies’ which work below the surface of Swift’s conscious themes. Alongside this discussion, Rawson provides detailed studies on historical, cultural and psychological relationships, and the connections that exist between these areas and more extreme writers of the later period such as Breton, Mailer, and Yeats, as well as the connections with the writers such as his contemporary Pope, and those that followed such as Johnson, and Sterne. This book will be of interest to students of literature, as well as those researching in the area of literature.




Philosophical Investigations on Time, Space and the Continuum (Routledge Revivals)


Book Description

Franz Brentano is recognised as one of the most important philosophers of the late nineteenth and early twentieth centuries. This work, first published in English in 1988, besides being an important contribution to metaphysics in its own right, has considerable historical importance through its influence on Husserl’s views on internal time consciousness. The work is preceded by a long introduction by Stephan Körner in collaboration with Brentano’s literary executor.




Our Knowledge of the Growth of Knowledge (Routledge Revivals)


Book Description

Peter Munz, a former student of both Popper and Wittgenstein, begins his comparison of the two great twentieth-century philosophers, by explaining that since the demise of positivism there have emerged, broadly speaking, two philosophical options: Wittgenstein, with the absolute relativism of his theory that meaning is a function of language games and that social configurations are determinants of knowledge; and Popper’s evolutionary epistemology – conscious knowledge is a special case of the relationship which exists between all living beings and their environments. Professor Munz examines and rejects the Wittgensteinian position. Instead, Our Knowledge of the Growth of Knowledge, first published in 1985, elaborates the potentially fruitful link between Popper’s critical rationalism and Neo-Darwinism. Read in the light of the latter, Popper’s philosophy leads to the transformation of Kant’s Transcendental Idealism into ‘Hypothetical Realism’, whilst the emphasis on the biological orientation of Popper’s thought helps to illumine some difficulties in Popper’s ‘falsificationism’.




A John Donne Companion (Routledge Revivals)


Book Description

First published in 1990, this title provides a compendium of useful information for any reader of Donne to have at hand: crucial biographical material, historical contextualisation, and details about his life’s work. The intention throughout is to enhance understanding and appreciation, without being exhaustive. The major portion of the volume, in both importance and size, is ‘A Donne Dictionary’. Its entries are arranged alphabetically: they identify, describe and explain the most influential persons in Donne’s life and works, as well as places, characters, allusions, ideas, concepts, individual words, phrases and literary terms that are relevant to a rounded appreciation of his poetry and prose. A Jonne Donne Companion will prove invaluable for all students of English poetry and Anglican theology.