Chihara C.H. Constructibility and Mathematical Existence

формат pdf
размер 2.42 МБ
добавлен 26 апреля 2011 г.

Oxford University Press, 1991. - 304 pages.

Chihara here develops a mathematical system in which there are no existence assertions but only assertions of the constructibility of certain sorts of things. He utilizes this system in the analysis of the nature of mathematics, and discusses many recent works in the philosophy of mathematics from the viewpoint of the constructibility theory developed. This innovative analysis will appeal to mathematicians and philosophers of logic, mathematics, and science.

Похожие разделы

Смотрите также

Azzouni J. Metaphysical Myths, Mathematical Practice: The Ontology and Epistemology of the Exact Sciences

формат pdf
размер 2.18 МБ
добавлен 06 сентября 2011 г.

Cambridge University Press, 2008. - 264 pages. Jody Azzouni argues in this original and exciting study that mathematical knowledge really is a special kind of knowledge with its own special means of gathering evidence. He analyzes the linguistic pitfalls and misperceptions philosophers in this field are often prone to, and explores the misapplications of epistemic principles from the empirical sciences to the exact sciences. What emerges is a pi...

Gray J. Plato's Ghost: The Modernist Transformation of Mathematics

формат pdf
размер 3.2 МБ
добавлен 11 августа 2011 г.

Princeton University Press, 2008. - 526 Pages. Plato's Ghost is the first book to examine the development of mathematics from 1880 to 1920 as a modernist transformation similar to those in art, literature, and music. Jeremy Gray traces the growth of mathematical modernism from its roots in problem solving and theory to its interactions with physics, philosophy, theology, psychology, and ideas about real and artificial languages. He shows how ma...

Heller M., Woodin W.H. Infinity: New Research Frontiers

формат pdf
размер 1.9 МБ
добавлен 16 августа 2011 г.

Cambridge University Press, 2011. - 311 pages. The infinite! No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite. - David Hilbert This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond ma...

Irvine A. (editor) Philosophy of Mathematics

формат pdf
размер 35.61 МБ
добавлен 10 апреля 2011 г.

North Holland, 2009. - 733 pages. One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in the mind? Or do mathematical truths...

Jammer M. The philosophy of quantum mechanics: The interpretations of quantum mechanics in historical perspective

формат pdf
размер 18.37 МБ
добавлен 13 июля 2011 г.

John Wiley & Sons, 1974. - 536 pp. Everyone who has studied quantum physics and is interested in its "philosophical foundations" has no doubt picked up this book, if not to study it in detail, certainly to at least briefly peruse its contents. It is the most widely cited of all books on the philosophy of quantum physics, and apart from discussing the issues most effectively, it also could be used as an introduction to graduate-level quantum p...

Lakatos Imre. Proofs and Refutations: The Logic of Mathematical Discovery

формат djvu
размер 1.78 МБ
добавлен 18 октября 2011 г.

Cambridge University Press, 1976. - 188 p. "Proofs and Refutations" is essential reading for all those interested in the methodology, the philosophy and the history of mathematics. Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real development...

Wagner Roy. Post-Structural Readings of a Logico - Mathematical Text

формат pdf
размер 172.46 КБ
добавлен 25 августа 2011 г.

Publisher: MIT Press. Perspectives on Science. Volume 16, Number 2, Summer 2008. E-ISSN: 1530-9274 Print ISSN: 1063-6145. 36 pages. Subject Headings: G?del, Kurt. Works. Mathematics - Philosophy. Logic, Symbolic and mathematical. Abstract: This paper will apply post-structural semiotic theories to study the texts of G?del's first incompleteness theorem. I will study the texts’ own articulations of concepts of ‘meaning’, analyze the mechanisms the...