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Inference on the Low Level: An Investigation into Deduction, Nonmonotonic Reasoning, and the Philosophy of Cognition /
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Catalogue Information
Field name
Details
Dewey Class
519.2
Title
Inference on the Low Level ([EBook] :) : An Investigation into Deduction, Nonmonotonic Reasoning, and the Philosophy of Cognition / / by Hannes Leitgeb.
Author
Leitgeb, Hannes
Other name(s)
SpringerLink (Online service)
Publication
Dordrecht : : Springer Netherlands : : Imprint: Springer, , 2004.
Physical Details
X, 386 p. : online resource.
Series
Applied Logic Series
1386-2790 ; ; 30
ISBN
9781402028069
Summary Note
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.:
Contents note
1 Introduction -- 2 Preliminaries -- I The Explication of Monotonic and Nonmonotonic Inference -- 3 Belief -- 4 Inference -- II The Justification of Monotonic and Nonmonotonic Inference -- 5 General Remarks on Justification and Justified Belief -- 6 An Informal Account of Our Theory of Justified Inference -- 7 A Discussion of Reliability -- 8 A Theory of Justified Inference -- III The Logic of Justified Monotonic and Nonmonotonic Inference -- 9 The Semantics of Deductive and Nonmonotonic Logic -- 10 Systems of Deductive and Nonmonotonic Logic -- 11 Soundness and Completeness Results -- 12 Further Consequences for Justified Inference -- IV The Cognition of Justified Monotonic and Nonmonotonic Inference by Low-Level Agents -- 13 Introductory Remarks -- 14 Inhibition Nets as Simple Neural Networks -- 15 Interpreted Inhibition Net Agents -- 16 Cumulative-Ordered Interpreted Inh. Net Agents and the System CL -- 17 Cumulative-Ordered Interpreted Inhibition Net Agents as Ideal Agents -- 18 Inhibition Nets and Other Forms of Nonmonotonic Reasoning -- 19 Inhibition Nets and Artificial Neural Networks -- 20 Discussion -- V Appendix -- 21 Digression on States, Dispositions, Causation, Processes -- 22 Goldman’s Reliability Account of Justified Belief -- 23 A Sketch of Logic Programming -- 24 Preferential Interpreted Inhibition Net Agents and the System P -- 25 Cumulative Interpreted Inhibition Net Agents and the System C -- 26 Simple Cumulative Interpreted Inhibition Net Agents and the System CM -- 27 Simple Preferential Interpreted Inhibition Net Agents and the System M -- References.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4020-2806-9
Links to Related Works
Subject References:
Artificial intelligence
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Artificial Intelligence (incl. Robotics)
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Dynamical Systems
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Epistemology
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Logic
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Mathematics
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Probabilities
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Probability theory and stochastic processes
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Statistical Physics
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Statistical Physics, Dynamical Systems and Complexity
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Authors:
Leitgeb, Hannes
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Corporate Authors:
SpringerLink (Online service)
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Series:
Applied Logic Series
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Classification:
519.2
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