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Studies in Fuzziness and Soft Computing

Fuzziness and Foundations of Exact and Inexact Sciences

Authors: Dompere, Kofi Kissi

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  • The aim of this monograph is to construct an epistemic framework for understanding the differences and similarities of exact and inexact sciences and the methodologies of their analyses and syntheses
  • This monograph demonstrated that the classical paradigm is a derivative of the fuzzy paradigm, which also constitutes the primary category of logical category, and shows the interconnections among axiomatic and empirical foundations of science as well as the role that paradigms play in deriving rules of thought that lead to abstractions of significant conclusions or propositions
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About this book

The monograph is an examination of the fuzzy rational foundations of the structure of exact and inexact sciences over the epistemological space which is distinguished from the ontological space. It is thus concerned with the demarcation problem. It examines exact science and its critique of inexact science. The role of fuzzy rationality in these examinations is presented. The driving force of the discussions is the nature of the information that connects the cognitive relational structure of the epistemological space to the ontological space for knowing. The knowing action is undertaken by decision-choice agents who must process information to derive exact-inexact or true-false conclusions. The information processing is done with a paradigm and laws of thought that constitute the input-output machine. The nature of the paradigm selected depends on the nature of the information structure that is taken as input of the thought processing. Generally, the information structure received from the ontological space is defective from the simple principles of acquaintances and the limitations of cognitive agents operating in the epistemological space. How then do we arrive and claim exactness in our knowledge-production system?

The general conclusion of this book is that the conditions of the fuzzy paradigm with its laws of thought and mathematics present a methodological unity of exact and inexact sciences where every zone of thought has fuzzy covering.

Table of contents (6 chapters)

Table of contents (6 chapters)
  • Exact Science, Its Critique of Inexact Science and Rationality in Vagueness

    Pages 1-14

    Dompere, Kofi Kissi

  • The Laws of Thought and Exact Science

    Pages 15-33

    Dompere, Kofi Kissi

  • The Primary Category, Derived Categories and Scientific World Pictures

    Pages 35-51

    Dompere, Kofi Kissi

  • The Organization of Knowledge Construction and the Defense of Inexact Sciences

    Pages 53-75

    Dompere, Kofi Kissi

  • The Exactness of Inexact Science and the Organization of the Knowledge Construction

    Pages 77-101

    Dompere, Kofi Kissi

Buy this book

eBook $99.00
price for USA in USD (gross)
  • ISBN 978-3-642-31122-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-642-31121-5
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $129.99
price for USA in USD
  • ISBN 978-3-642-44535-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Fuzziness and Foundations of Exact and Inexact Sciences
Authors
Series Title
Studies in Fuzziness and Soft Computing
Series Volume
290
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-31122-2
DOI
10.1007/978-3-642-31122-2
Hardcover ISBN
978-3-642-31121-5
Softcover ISBN
978-3-642-44535-4
Series ISSN
1434-9922
Edition Number
1
Number of Pages
XXXII, 168
Topics

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