Hajek / Havranek Mechanizing Hypothesis Formation

Mathematical Foundations for a General Theory
Erscheinungsjahr 2012
ISBN: 978-3-642-66943-9
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 398 Seiten, eBook

Reihe: Universitext

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.

Zielgruppe

Research

Autoren/Hrsg.

Hajek, P.

Havranek, T.

Inhaltsverzeichnis

Introduction: What is a Logic of Discovery.- I. Introduction: What is a Logic of Discovery.- A. A Logic of Induction.- II. A Formalization of Observational and Theoretical Languages.- III. The Logic of Observational Functor Calculi.- IV. Logical Foundations of Computational Statistics.- V. Rank Calculi.- B. A Logic of Suggestion.- VI. Listing of Important Observational Statements and Related Logical Problems.- VII. A General Guha-Method with Associational Quantifiers.- VIII. Further Statistical Problems of the Logic of Discovery.- Postcript: Some Remarks on the History of the Guha Method and its Logic of Discovery.