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Mechanizing Hypothesis Formation

Mathematical Foundations for a General Theory

  • Petr Hájek
  • Tomáš Havránek

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages I-XV
  2. Introduction: What is a Logic of Discovery

    1. Petr Hájek, Tomáš Havránek
      Pages 1-24
  3. A Logic of Induction

    1. Front Matter
      Pages 25-25
    2. Petr Hájek, Tomáš Havránek
      Pages 26-52
    3. Petr Hájek, Tomáš Havránek
      Pages 53-121
    4. Petr Hájek, Tomáš Havránek
      Pages 122-181
    5. Petr Hájek, Tomáš Havránek
      Pages 182-234
  4. A Logic of Suggestion

    1. Front Matter
      Pages 235-235
    2. Petr Hájek, Tomáš Havránek
      Pages 288-330
    3. Petr Hájek, Tomáš Havránek
      Pages 331-386
  5. Back Matter
    Pages 387-398

About this book

Introduction

Hypothesis formation is known as one of the branches of Artificial Intelligence, The general question of Artificial IntelligencE' ,"Can computers think?" is specified to the question ,"Can computers formulate and justify hypotheses?" Various attempts have been made to answer the latter question positively. The present book is one such attempt. Our aim is not to formalize and mechanize the whole domain of inductive reasoning. Our ultimate question is: Can computers formulate and justify scientific hypotheses? Can they comprehend empirical data and process them rationally, using the apparatus of modern mathematical logic and statistics to try to produce a rational image of the observed empirical world? Theories of hypothesis formation are sometimes called logics of discovery. Plotkin divides a logic of discovery into a logic of induction: studying the notion of justification of a hypothesis, and a logic of suggestion: studying methods of suggesting reasonable hypotheses. We use this division for the organization of the present book: Chapter I is introductory and explains the subject of our logic of discovery. The rest falls into two parts: Part A - a logic of induction, and Part B - a logic of suggestion.

Keywords

Formation Künstliche Intelligenz artificial intelligence function intelligence mathematical logic optimization

Authors and affiliations

  • Petr Hájek
    • 1
  • Tomáš Havránek
    • 2
  1. 1.Mathematical InstituteCzechoslovak Academy of SciencesPrahaCzechoslovakia
  2. 2.Department of BiomathematicsCzechoslovak Academy of SciencesPrahaCzechoslovakia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-66943-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 1978
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-08738-0
  • Online ISBN 978-3-642-66943-9
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • Buy this book on publisher's site