Inconsistent Geometry by Chris Mortensen (PDF)

Description

The Theory of Inconsistency has a long lineage, stretching back to Herakleitos, Hegel and Marx. In the late twentieth-century, it was placed on a rigorous footing with the discovery of paraconsistent logic and inconsistent mathematics. Paraconsistent logics, many of which are now known, are “inconsistency tolerant”, that is, they lack the rule of Boolean logic that a contradiction implies every proposition. When this constricting rule was seen to be arbitrary, inconsistent mathematical structures were free to be described. This book continues the development of inconsistent mathematics by taking up inconsistent geometry, hitherto largely undeveloped. It has two main goals. First, various geometrical structures are shown to deliver models for paraconsistent logics. Second, the “impossible pictures” of Reutersvaard, Escher, the Penroses and others are addressed. The idea is to derive inconsistent mathematical descriptions of the content of impossible pictures, so as to explain rigorously how they can be impossible and yet classifiable into several basic types. The book will be of interest to logicians, mathematicians, philosophers, psychologists, cognitive scientists, and artists interested in impossible images. It contains a gallery of previously-unseen coloured images, which illustrates the possibilities available in representing impossible geometrical shapes. Chris Mortensen is Emeritus Professor of Philosophy at the University of Adelaide. He is the author of Inconsistent Mathrmatics (Kluwer 1995), and many articles in the Theory of Inconsistency.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Everything was perfect, thank you!

⭐This book is a follow up to Routley and others, Relevant Logics and their Rivals. It also follows up Mortensen’s earlier work Inconsistent Mathematics. It contains a radical and interesting discussion of an important issue in logic and maths – are inconsistencies coherent? It argues that our visual perception is inconsistent and that the inconsistencies can be coherently described. Some of the technical chapters are challenging, but there are some clear informal explanations of key points. The pictures are often incredible!After this book, no one should believe that standard formal logic is the true logic.

Keywords

Free Download Inconsistent Geometry in PDF format
Inconsistent Geometry PDF Free Download
Download Inconsistent Geometry 2010 PDF Free
Inconsistent Geometry 2010 PDF Free Download
Download Inconsistent Geometry PDF
Free Download Ebook Inconsistent Geometry