Singular Spaces
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Topology of Stratified Spaces
Author: Greg Friedman
language: en
Publisher: Cambridge University Press
Release Date: 2011-03-28
This book explores the study of singular spaces using techniques from areas within geometry and topology and the interactions among them.
The Algebraic Theory of Spinors and Clifford Algebras
Author: Claude Chevalley
language: en
Publisher: Springer Science & Business Media
Release Date: 1996-12-13
In 1982, Claude Chevalley expressed three specific wishes with respect to the publication of his Works. First, he stated very clearly that such a publication should include his non technical papers. His reasons for that were two-fold. One reason was his life long commitment to epistemology and to politics, which made him strongly opposed to the view otherwise currently held that mathematics involves only half of a man. As he wrote to G. C. Rota on November 29th, 1982: "An important number of papers published by me are not of a mathematical nature. Some have epistemological features which might explain their presence in an edition of collected papers of a mathematician, but quite a number of them are concerned with theoretical politics ( . . . ) they reflect an aspect of myself the omission of which would, I think, give a wrong idea of my lines of thinking". On the other hand, Chevalley thought that the Collected Works of a mathematician ought to be read not only by other mathematicians, but also by historians of science.
Solipsism, Physical Things and Personal Perceptual Space
Solipsism indicates an epistemological position that denies the existence of ‘others’ by asserting that the ‘self’ is the only thing that can be known to exist. For sophist philosophers, the belief that “we can not know anything, and even if we do so, we cannot communicate it” is central to this theory. However, until now there has been little academic scholarship that has tried to provide answers to the pressing issues raised by solipsism. In Solipsist Ontology: Physical Things and Personal Perceptual Space, Ural aims to redefine solipsism by analyzing and elaborating on traditional philosophical problems, such as empiricism and rationalism, as well as discussing problems of language, communication, and meaning. Ural reveals where solipsism has been previously ignored, pseudo-problems have arisen that disguise the sources of the problems with prejudices that concern the philosophical problems in question. Notably, many current, as well as traditional problems of ontology, epistemology, and language are bound up in discourses of solipsism. Ural argues that discarding solipsism as a philosophical discourse hinders new interpretations of traditional philosophical thought. This book offers a fresh perspective to solipsism by defining it in relation to concepts such as ‘physical things,’ ‘personal perceptual space’ and ‘identity.’ Importantly, Ural proposes that an understanding of ‘identity’ is not necessary in order to redefine solipsism. By building a logical system that fashions communication and solipsism as interrelated, it is possible to reject ‘identity’ as a useless concept and thus overcome the classic solipsist dilemma of “we are not able to communicate.” This original piece of research is an important and timely contribution to the field of philosophy that will be of great interest to teachers, researchers, and students.
