Applied Logic Series

Inference on the Low Level

An Investigation into Deduction, Nonmonotonic Reasoning, and the Philosophy of Cognition

Authors: Leitgeb, Hannes

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About this book

In contrast to the prevailing tradition in epistemology, the focus in this book is on low-level inferences, i.e., those inferences that we are usually not consciously aware of and that we share with the cat nearby which infers that the bird which she sees picking grains from the dirt, is able to fly. Presumably, such inferences are not generated by explicit logical reasoning, but logical methods can be used to describe and analyze such inferences.

Part 1 gives a purely system-theoretic explication of belief and inference. Part 2 adds a reliabilist theory of justification for inference, with a qualitative notion of reliability being employed. Part 3 recalls and extends various systems of deductive and nonmonotonic logic and thereby explains the semantics of absolute and high reliability. In Part 4 it is proven that qualitative neural networks are able to draw justified deductive and nonmonotonic inferences on the basis of distributed representations. This is derived from a soundness/completeness theorem with regard to cognitive semantics of nonmonotonic reasoning. The appendix extends the theory both logically and ontologically, and relates it to A. Goldman's reliability account of justified belief.

Reviews

From the reviews:

"The ambitious goal of the book is the formal development of realistic (in particular: dynamic and neuronal) models of the cognitive process of reasoning. … In sum, Leitgeb’s book contains highly original and far-reaching results concerning the relation between three important areas: the epistemology of belief, the logic of reasoning, and the structure and dynamics of neuronal networks. The book is recommended for every reader who is interested in at least one of these areas … ." (Gerhard Schurz, Journal for General Philosophy of Science, Vol. 38, 2007)


Table of contents (27 chapters)

Buy this book

eBook $209.00
price for USA (gross)
  • ISBN 978-1-4020-2806-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $269.00
price for USA
  • ISBN 978-1-4020-2492-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $269.00
price for USA
  • ISBN 978-90-481-6669-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Inference on the Low Level
Book Subtitle
An Investigation into Deduction, Nonmonotonic Reasoning, and the Philosophy of Cognition
Authors
Series Title
Applied Logic Series
Series Volume
30
Copyright
2004
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-1-4020-2806-9
DOI
10.1007/978-1-4020-2806-9
Hardcover ISBN
978-1-4020-2492-4
Softcover ISBN
978-90-481-6669-5
Series ISSN
1386-2790
Edition Number
1
Number of Pages
X, 386
Topics