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Sunday, August 2, 2020 | History

5 edition of The logic of induction found in the catalog.

The logic of induction

by Halina Mortimer

  • 15 Want to read
  • 24 Currently reading

Published by Halsted Press in Chichester [England], New York .
Written in English

    Subjects:
  • Induction (Logic)

  • Edition Notes

    StatementHalina Mortimer, with additional material by I. Craig ; translator Ewa Such-Klimontowicz, translation editors I. Craig and A. Cohn.
    SeriesEllis Horwood series in artificial intelligence
    ContributionsCraig, I., Cohn, A. G.
    Classifications
    LC ClassificationsBC99.P65 M6713 1988
    The Physical Object
    Pagination182 p. ;
    Number of Pages182
    ID Numbers
    Open LibraryOL2045885M
    ISBN 100470212349
    LC Control Number88022962

    E. T. Jaynes died Ap Before his death he asked me to nish and publish his book on probability theory. I struggled with this for some time, because there is no doubt in my mind that Jaynes wanted this book nished. Unfortunately, most of the later Chapters, Jaynes’ intended. Further, he points out the inefficiency of such logic, being unable to present a substantial explanation that can embrace the inductive proof. The rest of the book tackles the grounds and principles of the theory of probability with a reformulation of it. Professor As-Sadr successfully presents the theory as a basis for inductive .

    The logical induction criterion can be seen as a weakening of the “no Dutch book”criterionthatRamsey()anddeFinetti()usedtosupportstandard probabilitytheory,whichisanalogoustothe“noDutchbook”criterionthatvon. This books is a reprint of the Sixth Book of Mill's A System of Logic ratiocinative and inductive, being a connected view of the principles of evidence and the methods of scientific investigation, first published in The text has been reset from the eighth edition (), the last edition published in Mill's lifetime/5(23).

    This book consists of two parts, -- the Deductive and the Inductive Logic. The former treats of the general nature of our thought processes as well as the fundamental principles and practice of deduction, and is now published for the first time. The latter is my Inductive Logic which was published in , now revised and incorporated in this. The book has been designed to offer maximal accessibility to the widest range of students (not only those majoring in philosophy) and assumes no formal training in elementary symbolic logic. It offers a comprehensive course covering all basic definitions of induction and probability, and considers such topics as decision theory, Bayesianism.


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The logic of induction by Halina Mortimer Download PDF EPUB FB2

The Logic of Causation is a treatise of formal logic and of aetiology. It is an original and wide-ranging investigation of the definition of causation (deterministic causality) in all its forms, and of the deduction and induction of such : Avi Sion.

Mathematical induction — along with its equivalents, complete induction and well-ordering, and its immediate consequence, the pigeonhole principle — constitute essential proof techniques.

Every mathematician is familiar with mathematical induction, and every student of mathematics requires a grasp of its : Steven H. Weintraub. The logic of induction. [Halina Mortimer; I Craig] Home.

WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Book: All Authors / Contributors: Halina The logic of induction book I Craig. Find more information about: ISBN: Read the latest chapters of Handbook of the History of Logic atElsevier’s leading platform of peer-reviewed scholarly literature.

In this paper I present a simple and straightforward logic of induction: a consequence relation characterized by a proof theory and a semantics.

This system will be called LI. The premises will be restricted to, on the one hand, a set of empirical data and, Cited by: Ilkka Niiniluoto, in Handbook of the History of Logic, 8 Inductive Logic and Theories.

Inductive logic has the reputation that it is a formal tool of narrowly empiricist methodology. Although induction was discussed already by Aristotle, his account was intimately connected to concept formation (see [Hintikka, ; Niiniluoto, /95]).The role of induction in science was emphasized.

Induction being the most pragmatic aspect of logic, this principle is the most practical of the foundations of rational discourse. The principle of induction is a phenomenological truth, because it does not presume at the outset that the givens of appearance are real or illusory, material or mental, full or empty, or what have you.

Inductive Logic does concern itself with facts, with reality. Its primary purpose is the discovery and use of *Truth. The first requirement of Inductive Logic is that *the premises must be true, the result of true and valid observation of facts, based, if need be, upon pure experimentation. The basic thesis of this book is that the same logic of induction on which scientific methodology is based can be used to prove the existence of God.

The implication of this work is far reaching, for it attempts to layout a unifying, common basis of research. In this paper I present a simple and straightforward logic of induction: a consequence relation characterized by a proof theory and a semantics.

This system will be called LI. The premises will be restricted to, on the one hand, a set of empirical data and, on. Additional Physical Format: Online version: Mortimer, Halina. Logic of induction. Chichester [England] ; New York: Halsted Press, (OCoLC)   From the very beginning of their investigation of human reasoning, philosophers have identified two other forms of reasoning, besides deduction, which we now call abduction and induction.

Deduction is now fairly well understood, but abduction and induction have eluded a similar level of understanding. The papers collected here address the relationship between abduction and induction. Pure inductive logic is the study of rational probability treated as a branch of mathematical logic.

This monograph, the first devoted to this approach, brings together the key results from the past seventy years plus the main contributions of the authors and their collaborators over the last decade to present a comprehensive account of the discipline within a single unified context.

Book 1. Hume’s Problems with Induction. This essay is intended to describe and refute some of the main doubts and objections David Hume raised with regard to inductive reasoning.

It replaces the so-called problem of induction with a principle of induction. Try the new Google Books. Check out the new look and enjoy easier access to your favorite features. Try it now. No thanks. Try the new Google Books eBook - FREE. Get this book in print Induction Volume 2 of Logic, Alexander Bain: Author: Alexander Bain: Publisher: Longmans, Green, Reader & Dyer, Original from: the University of.

For the inductive step, assume that for some n, P(n) holds, so 1 + 2 + + n = n(n + 1) / 2. We need to show that P(n + 1) holds, meaning that the sum of the first n + 1 natural numbers is (n + 1)(n + 2)/2. Consider the sum of the first n + 1 positive natural numbers.

This is. The book starts with the basics of set theory, logic and truth tables, and counting. Then, the book moves on to standard proof techniques: direct proof, proof by contrapositive and contradiction, proving existence and uniqueness, constructive proof, proof by induction, and others.

The inductive step must be proved for all values of illustrate this, Joel E. Cohen proposed the following argument, which purports to prove by mathematical induction that all horses are of the same color.

Base case: In a set of only one horse, there is only one color.; Inductive step: Assume as induction hypothesis that within any set of horses, there is only one color. Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction.

This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathematics.

In the first part of the book, the author discusses different inductive techniques. Inductive logic is not the subject of this book. If you want to learn about inductive logic, it is probably best to take a course on probability and statistics.

Inductive reasoning is often called statistical (or probabilistic) reasoning, and forms the basis of experimental science. Inductive reasoning is important to science, but so is. Arguments in Propositional Logic A argument in propositional logic is a sequence of but the final proposition are called last statement is the conclusion.

The argument is valid if the premises imply the argument form is an argument that is valid no matter what propositions are substituted into its propositional variables.induction, in logic, a form of argument in which the premises give grounds for the conclusion but do not necessitate ion is contrasted with deduction, in which true premises do necessitate the important form of induction is the process of reasoning from the particular to the general.

Francis Bacon in his Novum Organum () elucidated the first formal theory of.Mathematical induction — along with its equivalents, complete induction and well-ordering, and its immediate consequence, the pigeonhole principle — are essential proof techniques.

Every mathematician is familiar with mathematical induction, and every student of mathematics requires a grasp of its concepts. This volume provides advanced undergraduates and graduate students with an.