Observer Mechanics

Observer Mechanics

A Formal Theory of Perception

1st Edition - June 28, 1989

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  • Authors: Bruce M. Bennett, Donald D. Hoffman, Chetan Prakash
  • eBook ISBN: 9781483263137

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Description

Observer Mechanics: A Formal Theory of Perception provides information pertinent to the fundamental aspects of perception. This book provides an approach to the study of perception that attempts to be both general and rigorous. Organized into 10 chapters, this book begins with an overview of the structure of perceptual capacity. This text then presents the relationship between observers and Turing machines. Other chapters provide a formal framework in which to describe an observer and its objects of perception, and then develop from this framework a perceptual dynamics. This book discusses as well the conditions in which an observer may be said to perceive truly and discusses how stabilities in perceptual dynamics might permit the genesis of higher level observers. The final chapter deals with the relationship between the formalisms of quantum mechanics and observer mechanics. This book is a valuable resource for physicists, psychophysicists, philosophers, cognitive scientists, and perceptual psychologists.

Table of Contents


  • Preface

    Chapter 1. Principles

    1. Introduction

    2. Principles

    3. Bug Observer

    4. Biological Motion Observer

    Chapter 2. Definition of Observer

    1. Mathematical Notation and Terminology

    2. Definition of Observer

    3. Ideal Observers

    4. Noise

    5. Examples of Observers

    6. Transduction

    7. Theory Neutrality of Observation

    Chapter 3. Perception and Computation

    1. Turing Observers

    2. Turing Simulation

    3. Discretization

    4. Effective Simulation: The Algebraic Case

    Chapter 4. Semantics

    1. Observer/World Interface: Introduction

    2. Scenarios

    3. Meaning and Truth Conditions

    4. Extended Semantics

    5. Hierarchical Analytic Strategies and Nondualism

    Chapter 5. Reflexive Frameworks

    1. Mathematical Notation and Terminology

    2. Definition of Reflexive Observer Framework

    3. Channeling on Reflexive Frameworks

    4. Formal Examples of Reflexive Frameworks

    5. Symmetric Observer Frameworks

    6. Example: Instantaneous Rotation

    Chapter 6. Introduction to Dynamics

    1. Mathematical Notation and Terminology

    2. Fundamentals of Dynamics

    3. Kinematics of a Single Participator

    4. Kinematics of Pairs

    5. True Perception Among Pairs

    6. An Example

    Chapter 7. Formal Dynamics

    1. Some Fundamentals

    2. The τ-Distribution

    3. Augmented Dynamics

    4. Augmented Dynamics and Standard Dynamics

    5. Descent of Markov Chains

    6. Summary of Formulae

    Chapter 8. Perceptions and Realities

    1. Introduction

    2. Relativization

    3. Diagrammatic Representation of Descent Conditions

    4. Trace Chains and their Descent

    5. Compatibility of Multiple Descents

    6. Matching Perception to Reality

    Chapter 9. Towards Specialization

    1. Introduction to Specialization

    2. Hierarchical Analytic Strategies Revisited

    3. Framework Specialization

    4. On Ullman's Incremental Rigidity Procedure

    5. Chain-Bundle Specialization

    Chapter 10. Relation to Quantum Mechanics

    1. Quantum Systems and Imprimitivity

    2. Cocycles and Bundles

    3. Canonical Linearization

    Epilogue

    References

    Index

    Notation Index

Product details

  • No. of pages: 298
  • Language: English
  • Copyright: © Academic Press 1989
  • Published: June 28, 1989
  • Imprint: Academic Press
  • eBook ISBN: 9781483263137

About the Authors

Bruce M. Bennett

Donald D. Hoffman

Chetan Prakash

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