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1. An Introduction To Probability And Inductive Logic - Cambridge University Press
logic; 2. What is inductive logic?; Part II. How to Calculate Probabilities 3. The gambler’s fallacy; 4. Elementary Probability; 5. Conditional Probability
http://books.cambridge.org/0521772877.htm
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  • Page extent: 320 pages Size: 253 x 177 mm Weight: 0.863 kg
Library of Congress
  • Dewey number: 160 Dewey version: 21 LC Classification: BC141 .H33 2001 LC Subject headings:
    • Probabilities Induction (Logic)
    Library of Congress Record
    An Introduction to Probability and Inductive Logic
    Ian Hacking
    University of Toronto
    Hardback
    DOI:
    • Also available in Paperback Published September 2001
    In stock
    (Stock level updated: 03:41 GMT, 24 December 2007) This is an introductory textbook on probability and induction written by one of the world’s foremost philosophers of science. 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, frequency ideas, and the philosophical problem of induction. The key features of this book are a lively and vigorous prose style; lucid and systematic organization and presentation of ideas; many practical applications; a rich supply of exercises drawing on examples from such fields as psychology, ecology, economics, bioethics, engineering, and political science; numerous brief historical accounts of how fundamental ideas of probability and induction developed; and a full bibliography of further reading. • Lively and rigorous style; clear and systematic presentation; assumes no prior knowledge of symbolic logic • Contains lots of exercises with examples from psychology, bioethics, ecology, economics and political science; shows practical applications • Hacking internationally known; 5 previous CUP books; Modern Library selected Taming of Chance as one of 100 best books of the twentieth century

2. Read This: An Introduction To Probability And Inductive Logic
Read This! The MAA Online book review column review of An Introduction to Probability and inductive logic, by Ian Hacking.
http://maa.org/reviews/hacking.html
Read This!
The MAA Online book review column
An Introduction to Probability and Inductive Logic
by Ian Hacking
Reviewed by Ramachandran Bharath
This book by the distinguished philosopher of probability, Ian Hacking, is titled An Introduction to Probability and Inductive Logic . It would have given a better idea of the scope of the book if the words "and Statistical Inference" had been added to the title. The focus of the book is on showing how probability theory has two functions: it uses deductive logic to find the properties of samples based on assumptions about a population, and inductive logic to draw conclusions about populations based on the measured characteristics or properties of samples. Hacking explores and explains this whole structure in a very readable exposition, giving appropriate examples at every stage. He also weaves into his whole discussion the differences between the frequency theory of probability, which regards probability as essentially long run frequencies, and the Bayesian theory which regards probability as fundamentally concerned with belief and the revision of belief in the light of evidence. As he points out, while there are dogmatists who believe that only one of these views is correct, it is more fruitful to take an eclectic view which regards these two views as each more appropriate in certain situations. Publication Data: An Introduction to Probability and Inductive Logic , by Ian Hacking. Cambridge University Press, 2001. Paperback, 320 pp., $25.00. ISBN 0521775019. Hardover, 320pp, $70.00. ISBN 0521772877.

3. Logical Positivism - Probability And Inductive Logic (Mauro Murzi's Pages On Phi
f. Probability and inductive logic. There were two different theories about Probability proposed by the logical positivists
http://murzim.net/LP/LP07.html
Mauro Murzi's pages on Philosophy of Science - Logical Positivism
Probability and Inductive Logic Synthetic and Analytic Statements Ethics Table of Contents Links
[2. The Main Philosophical Tenets of Logical Positivism.]
f. Probability and Inductive Logic.
There were two different theories about probability proposed by the logical positivists:
  • Frequency Interpretation: the probability is the limit of a frequency. Logical Interpretation: the probability is the degree of confirmation a statement receives from a given set of other statements.
According to Reichenbach, the meaning of a statement such as "the probability of P given Q is r " is that the limit of the relative frequency of objects P in the set of objects Q is r . That is, in a large sample of the set Q [say

4. INTRODUCTION TO PROBABILITY AND INDUCTIVE LOGIC By Hackering, Ian
INTRODUCTION TO Probability and inductive logic by Hackering, Ian Gambler s Book Club offers thousands of books, software, videos and audios on all
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this is an introductory textbook by one of the world's foremost philosophers of science. It has been designed to offer maximal accessibility to the widest range of students and assumes no formal training in elementary symbolic logic. It offers a comprehensive course covering all basic definitions of induction and probability. Topics covered include the Gambler's Fallacy, Bayes' Rule, Expected Value, Maximizing Espected Value, 302 pages, indexed paperbound, 2002.
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5. Inductive Logic Web Site, Page 1
inductive logic is the study of belief allocation and hypothesis selection. Belief allocation is analyzed within the theory of Probability, particularly,
http://www.princeton.edu/~osherson/IL/ILpage.htm
Go to the essays: Inductive Logic from the Point of View of Acceptance A Framework for Inductive Logic Inductive Inquiry via Theory Revision Advanced Topics in Inductive Logic Contact us: Eric Martin
Univ. New South Wales
emartin@cse.unsw.edu.au
Daniel Osherson
PrincetonUniversity
osherson@princeton.edu
Last modified: 01/04/02
Thanks for entering our Inductive Logic website Inductive Logic is the study of belief allocation and hypothesis selection. Belief allocation is analyzed within the theory of probability theory of scientific discovery The latter topic has been slowly developing, however, since pioneering studies in the 1960's. (For more on subjective probability, try the site Probabilistic Thinking The purpose of the present website is to provide links to current studies in the theory of scientific discovery. Our own theory is elaborated in four papers accessible in pdf format through the links on the left.

6. JSTOR Studies In Inductive Logic And Probability.
Studies in inductive logic and Probability, Volume II, edited by Richard C. Jeffrey, University of California Press, Berkeley, Los Angeles, and London,
http://links.jstor.org/sici?sici=0022-4812(198412)49:4<1409:SIILAP>2.0.CO;2-2

7. An Introduction To Probability And Inductive Logic. - HACKING, IAN,
An Introduction to Probability and inductive logic.; HACKING, IAN,. Offered by Julian s Books.
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HACKING, IAN, An Introduction to Probability and Inductive Logic.
United Kingdom: Cambridge University Press, 2001. First Edition. Hardcover; First Printing. SMALL 4to ; 302 pages. NF.
US$ 39.00 Offered by: Julian's Books - Book number: 67448
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8. Review Richard Jeffrey, Studies In Inductive Logic And
Richard Jeffrey, Studies in inductive logic and Probability. A Basic System of inductive logic, Part II. Fulltext Access via JSTOR (no additional login)
http://projecteuclid.org/handle/euclid.jsl/1183741719
Log in RSS Title Author(s) Abstract Subject Keyword All Fields FullText more options

9. Freedom To Tinker » Blog Archive » Must-Read Books: My List
“The Emergence of Probability” is a first rate book melding philosophy and history of science; “Probability and inductive logic” is a very sound
http://www.freedom-to-tinker.com/archives/000534.html
Freedom to Tinker
Super Tuesday
Must-Read Books: My List
March 1st, 2004 by Ed Felten Below is my list of six must-read books on science and technology. I know: I asked you for five, and now I’ve allowed myself six. I just couldn’t narrow it down any more. Naturally, I include only books that I have read; and I must admit that I haven’t read many of the books suggested by readers. You all have added considerably to my books-to-read list. The hardest aspect of this task was that I read most of candidate books long ago, so I no longer remember clearly what I learned from which book. And I’m sure the forty-year-old me of today would disagree with the twenty-year-old me who read some of these books. With that caveat, here is my list, in alphabetical order: Structure and Interpretation of Computer Programs . A serious computer science textbook, this imparts more computer science ideas than any other book I have seen. It will be a challenging book for many people, but heeding Dan Simon’s advice to respect my audience, I’m including it anyway. If this book goes over your head, try Hofstadter’s Goedel, Escher, Bach

10. Progic 2007
11.1511.45 Jan Sprenger - Statistics between inductive logic and empirical science 11.45-12.30 Invited speaker Colin Howson - Combining Probability and
http://www.kent.ac.uk/secl/philosophy/jw/2007/progic/
progic07: The Third Workshop on Combining Probability and Logic Special focus: probabilistic logics and probabilistic networks 5-7 September 2007
Keynes College Lecture Room 2, University of Kent, Canterbury, UK
(N6 on this map INTRODUCTION There are a plethora of views as to the relationship between probability and logic and a panoply of proposals for combining the two. In particular, probabilistic logics offer formal combinations of probability and logic - often, however, at the expense of perspicuity and tractability. The question arises as to whether probabilistic networks might be used to render probabilistic logics more comprehensible and computationally feasible. In this workshop we aim to bring researchers from a variety of disciplines together to assess the prospects of applying probabilistic networks to probabilistic logics, and more generally to elucidate the relationship between probability and logic. We hope that the themes of the workshop will be of interest to mathematicians, logicians, philosophers, computer scientists, statisticians, psychologists and engineers, for example. Invited speakers include:
Gert de Cooman
Fabio Cozman Pedro Domingos Lise Getoor ... Linda van der Gaag can no longer attend because of illness.

11. Publications By Henry E. Kyburg, Jr.
Probability and inductive logic, Macmillan, New York, 1970. 8. The logical Foundations of Statistical Inference, Reidel, Dordrecht, 1974.
http://www.cs.rochester.edu/u/www/u/kyburg/pubs.html
Publications by Henry E. Kyburg, Jr.
Books
1. Probability and Induction in the Cambridge School, University Microfilms, Ann Arbor, 1956. (Dissertation.) 2. Probability and the Logic of Rational Belief, Wesleyan University Press, Middletown, 1961. 3. (Editor, with Ernest Nagel) Induction: Some Current Issues, Wesleyan University Press, Middletown, 1963. 4. (Editor, with Howard Smokler) Studies in Subjective Probability, John Wiley, New York, 1964. 5. Philosophy of Science, Macmillan, New York, 1968. 6. Probability Theory, Prentice-Hall, Englewood Cliffs, 1969. 7. Probability and Inductive Logic, Macmillan, New York, 1970. 8. The Logical Foundations of Statistical Inference, Reidel, Dordrecht, 1974. 9. (Editor, with Peter Asquith) Current REsearch in the Philosophy of Science, Philosophy of Science Association, East Lansing, 1979. 10. (Editor, with Howard Smokler) Studies in Subjective probability, Second Edition, Krieger, Garden City, 1980. 11. Epistemology and Inference, University of Minnesota Press, Minneapolis, 1983.

12. Probability And Logic
2 2 R. Carnap, A basic system of inductive logic, in R.C. Jeffrey (Ed.), Studies in inductive logic and Probability, Vol. 1, University of California
http://portal.acm.org/citation.cfm?id=964796

13. MainFrame: The Philosophy Of Rudolf Carnap
Probability and inductive logic. In order to support his analytic inductive logic Carnap developed a notion of logical or inductive Probability.
http://www.rbjones.com/rbjpub/philos/history/rcp002.htm
The Philosophy of Rudolf Carnap
based on the intellectual autobiography in
Overview:
A survey of the philosophy of Rudolf Carnap using his own breakdown into ten problem areas. Pseudo Problems in Philosophy The rejection of metaphysics using the analytic/synthetic dichotomy and the verification principle. The Foundations of Mathematics Logicism with added extracts of Formalism Physicalism and the Unity of Science Different branches of science are fundamentally parts of a single unified science of physical things (i.e. are reducible to physics). The Logical Syntax of Language A purely analytic theory of the structure of linguistic expressions. Liberalisation of Empiricism The abandonment of foundationalism and of the principle of verifiability. Semantics Carnap broadens his metalingual theory to encompass semantics, with particular concern for the semantic definition of logical truth and the distinction between logical and factual truth. Language Planning The principle of tolerance leads to linguistic pluralism and to the need for planning how a number of languages can be fitted together yielding a system fulfilling given desiderata. Probability and Inductive Logic In order to support his analytic inductive logic Carnap developed a notion of logical or inductive probability.

14. Session #1
A Probability is a number between 0 and 1. Problems for any inductive logic (!). Problem 1 We need to know what probabilities are.
http://www.socsci.uci.edu/lps/home/fac-staff/faculty/barrett/LPS31/session1.htm
Session #1: Deductive and Inductive Inference An argument consists of a set of premises and a conclusion. An argument is deductively valid if and only if it is impossible for all the premises to be true and the conclusion false. By analogy, one might say that an argument is inductively valid if and only if it is improbable that all the premises are true and the conclusion false. In any case, one wants to know how strongly the premises or evidence in an inductive argument support the conclusion. This strength clearly comes in degrees. A. Deductive Logic 1. Truth-Functional (or Sentence) Logic a. Sentence letters Q, R, S, T, etc. represent statements that can take a truth value of either true T or false F. b. Delimiters ( and ) punctuate the statement so one knows what order to apply the logical operations. are defined by the standard truth tables. Example: P therefore Q is a valid truth-functional argument. 2. First-Order (or Predicate) Logic a. Everything from truth-functional logic b. Names a, b, c, d, etc. represent specific objects c. Variables x, y, z, etc. range over the objects

15. Probability And Induction
This book contains a general introduction to induction and inductive logic, a chapter that introduces the elementary Probability calculus (ch.
http://www.ditext.com/clay/armendt2.html
Teaching Theory of Knowledge
Probability and Induction
CONTRIBUTORS: Brad Armendt, Martin Curd. Some philosophers have affirmed that induction and probable reasoning lead to knowledge. Others have been skeptical. Some philosophers have thought that probability was an ingredient in the traditional analysis of knowledge. Others have thought that a theory of probability should replace traditional epistemology. It is clear, however, that an understanding of induction, probability, and confirmation are essential for a resolution of these issues as well as others pertaining to epistemology. It is the intention of this module to provide the materials for study that would yield understanding of the relevant issues. Divisions in the module:
  • Introduction to probability and induction
  • Hume's problem
  • Historical treatment of Hume's argument.
  • Responses to the problem(s) Hume has been perceived as raising. ...
  • Theory of confirmation Most sections include a brief discussion of the issues as well as a list of references for that topic. Starred members [*] of the list are more central to the topic, or are good introductions to it; unstarred members are usually more specialized and often more difficult than the starred entries. We have made an effort to provide suggestions that represent a variety of approaches, but the recommendations that follow are unavoidably biased in accordance with our interests and knowledge. Anthologies and collections of papers . The following books are cited by references in the sections that follow. Some are collections of papers that are of general interest. and some are more specialized.
  • 16. Articles.html
    Probability and inductive logic, Macmillan, New York, 1970. Probability Theory, PrenticeHall, Englewood Cliffs, 1969. Philosophy of Science, Macmillan,
    http://www.redsuspenders.com/~kyburg/cvsite/writings.html
    Home
      Books:
      • (Editor, with Mariam Thalos) Probability is the Very Guide of Life, Open Court, 2002. (With Choh Man Teng) Uncertain Inference , Cambridge University Press, 2001 Typos and Corrections Science and Reason , Oxford University Press, Oxford, 1990. (Editor, with Greg Carlson and Ronald Loui) Knowledge Representation and Defeasible Reasoning , Kluwer, Dordrecht, 1990. Theory and Measurement , Cambridge University Press, Cambridge, 1984. Epistemology and Inference , University of Minnesota Press, Minneapolis, 1983. (Editor, with Peter Asquith) Current Research in the Philosophy of Science , Philosophy of Science Association, East Lansing, 1979. The Logical Foundations of Statistical Inference , Reidel, Dordrecht, 1974. Probability and Inductive Logic , Macmillan, New York, 1970. Probability Theory , Prentice-Hall, Englewood Cliffs, 1969.

    17. An Introduction To Probability And Inductive Logic Desk
    An Introduction to Probability and inductive logic Desk Examination Edition. Ian Hacking. University of Toronto. Add to basket
    http://www.cup.cam.ac.uk/us/catalogue/catalogue.asp?isbn=9780521005340

    18. An Introduction To Probability And Inductive Logic Por Ian Hacking | LibraryThin
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    19. ScienceDirect - Journal Of Applied Logic : Special Issue On Combining Probabilit
    How is Probability related to logic? Should Probability and logic be combined? . In fact default reasoning behaves as an inductive logic under the
    http://linkinghub.elsevier.com/retrieve/pii/S1570868303000090
    Athens/Institution Login Not Registered? User Name: Password: Remember me on this computer Forgotten password? Home Browse My Settings ... Help Quick Search Title, abstract, keywords Author e.g. j s smith Journal/book title Volume Issue Page Journal of Applied Logic
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    Combining Probability and Logic
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    Full Text + Links PDF (124 K) Related Articles in ScienceDirect Introduction to Information Theory
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    Introduction to Information Theory
    Short-range Wireless Communication (Second Edition) Pages 259-286
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    A critique of Jaynes' maximum entropy principle
    Advances in Applied Mathematics

    A critique of Jaynes' maximum entropy principle Advances in Applied Mathematics Volume 2, Issue 2 June 1981 Pages 172-211 Penha Maria Cardoso Dias and Abner Shimony Abstract Abstract Abstract + References PDF (1834 K) The constraint rule of the maximum entropy principle ... Studies In History and Philosophy of Science Part B: St... The constraint rule of the maximum entropy principle Studies In History and Philosophy of Science Part B: Studies In History and Philosophy of Modern Physics Volume 27, Issue 1

    20. History Of Twentieth-Century Philosophy Of Science Book 3
    Carnap did not complete Part II of A Basic System , and it was edited for publication in 1980 by Jeffrey in Studies in inductive logic and Probability,
    http://www.philsci.com/book3-4.htm
    Download as .pdf or . zip All Books are in Adobe Acrobat PDF Format.
    You may download a free plug-in here. Download Winzip for
    [Windows]
    or [Mac] BOOK III - Page 4 RUDOLF CARNAP ON SEMANTICAL SYSTEMS AND
    W.V.O. QUINE'S PRAGMATIST CRITIQUE Semantical Systems: Probability and Induction
    In his article "Testability and Meaning" in Philosophy of Science (1936) Carnap abandoned the idea of verification, because he concluded that hypotheses about unobserved events in the physical world can never be completely verified by observational evidence. Thus he proposed instead the probabilistic idea of confirmation. He became interested in the philosophy of probability in 1941, when he considered that the concept of logical probability might supply an exact quantitative explication of the concept of confirmation of a hypothesis with respect to a given body of evidence, such that it would become possible to speak of a degree of confirmation in a measurable sense. Up to that time there were fundamentally two kinds of concepts of probability, which were proposed by their advocates as alternatives.

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    An Introduction to Probability and Inductive Logic by Ian Hacking About this title: This is an introductory textbook on probability and induction written by one of the world's foremost philosophers of science. 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. Note: This is a general synopsis. Each listing is further described below.

    25. An Introduction To Probability And Inductive Logic [WorldCat.org]
    Contents logic , logic , What is inductive logic? , How to calculate probabilities , gambler s fallacy , Elementary Probability ideas
    http://worldcat.org/isbn/0521775019
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    An introduction to probability and inductive logic
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    Type: Book Language: English Publisher: Cambridge, U.K. ; New York : Cambridge University Press, 2001. Editions: 2 Editions ISBN: OCLC: Related Subjects: Probabilities. Induction (Logic) Probabilités. More Subjects ... Citations: Cite this Item Export to EndNote Export to RefWorks Additional Info: Publisher description Table of contents
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    26. Confirmation: Syllabus
    Chapter 6 of Ian Hacking s Introduction to Probability and inductive logic Week 2 (9/5) PreHistory — Setting the Stage for Modern ( inductive )
    http://socrates.berkeley.edu/~fitelson/confirmation/syllabus.html
    Confirmation Home Syllabus
    Professor Branden Fitelson
    branden@fitelson.org

    Office: 132 Moses Hall
    234 Moses Hall (Dennes)
    TOC: Synopsis Readings Requirements Website ... Tentative Schedule
    Synopsis
    qua logical/epistemological theory . Specifically, we will focus mainly on various historical approaches to (and problems/paradoxes involving) instantial A Treatise on Probability . The climax of Part I will involve a careful reading of Goodman's (1955) "New Riddle of Induction". The denouement of Part I will involve the subjective (Bayesian) turn in confirmation theory that happened after Goodman (in the 1960's), and which continues to be dominant today. Part II (the last 2 weeks) of the seminar will be concerned with some recent applications of confirmation theory to problems in cognitive science . Specifically, we will look at the Wason Selection Task and the Conjunction Fallacy from the point of view of confirmation theory (broadly construed). TOC
    Readings
    . I recommend reading the required readings very carefully, and then moving on to the further readings (which may typically be read a little less closely) as your schedule permits.
    TOC
    Requirements The only requirement for this seminar will be a single 15-page term paper, which will be due at the end of the semester.

    27. An Introduction To Probability And Inductive Logic
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    Description This is an introductory textbook on probability and induction written by one of the world’s foremost philosophers of science. 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, frequency ideas, and the philosophical problem of induction. The key features of this book are a lively and vigorous prose style; lucid and systematic organization and presentation of ideas; many practical applications; a rich supply of exercises drawing on examples from such fields as psychology, ecology, economics, bioethics, engineering, and political science; numerous brief historical accounts of how fundamental ideas of probability and induction developed; and a full bibliography of further reading.

    28. 0520038266: "Studies In Inductive Logic And Probability." By Rudolf Carnap - Boo
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    29. Lamson Library » Probability And Inductive Logic
    Studies In Subjective Probability. Foundations Of inductive logic; Intentional logic A logic Based On Philosophical Realism; Probability and Evidence
    http://www.plymouth.edu/library/read/155410
    Home Directory Site Index The University ... Home
    Probability And Inductive Logic

    30. IPS - An Introduction To Probability And Inductive Logic
    logic 2. What is inductive logic? Part II. How to Calculate Probabilities 3. The gambler s fallacy 4. Elementary Probability 5. Conditional Probability
    http://www.ips.com.pl/cgi-bin/opisy.cgi?0521775019&D&9780521775014&0

    31. Krisostomus - Books - Introduction To Probability And Inductive Logic
    Harry Gensler, Times Higher Education Supplement This is, as intended, a very introductory text in Probability and inductive logic.
    http://www.kriso.ee/cgi-bin/shop/978052177501411656.html
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    Book Awards! The Man Booker Prize The British Book Awards The Orange Prize for Fiction The Pulitzer Prize back Recommend to others Print Introduction to Probability and Inductive Logic Ian Hacking Format: Paperback, 320 pages, bibliography Pub. Date: 02-Jul-2001 Publisher: Cambridge University Press ISBN-10: 0521775019 ISBN-13: 9780521775014 Price: 24,49 EUR (normal price: 30,69 EUR) Quantity: Book will arrive in about 2-4 weeks. Larger Image Other books from this special offer... Other books in subject:: Logic - (Currently in stock: 1 items Annotations An introductory textbook on probability and induction written by a foremost philosopher of science. Reviews 'Hacking's book excels ... especially in the practical, concrete examples. It uses minimal mathematics and presumes no acquaintance with symbolic logic. It is well suited for graduate or advanced undergraduate courses in inductive logic or related areas (such as philosophy of science or methodology courses in particular empirical sciences). The book gives a nice introduction to inductive logic.' Harry Gensler, Times Higher Education Supplement 'This is, as intended, a very introductory text in probability and inductive logic.' Zentralblatt fur Mathematik

    32. LiEP CIS-2002-010: Inductive Logic Versus The Logic Of Probability.
    Title, inductive logic versus the logic of Probability. Authors, James Cussens. Series, Linköping Electronic Articles in Computer and Information Science
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    Inductive logic versus the logic of probability.
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    33. Senza Nome1.html
    Both approaches explicitly connect Probability and logic in a way but it is common to speak about the Carnapian approach (inductive logic) and the
    http://www.fmag.unict.it/~polphil/PolPhil/LvovWarsaw/WolReichText.html
    Papers on Lvov-Warsaw School Reichenbach's Probability Logic and the Lvov-Warsaw School Jan Wolenski
    (Jagiellonian University - Cracow)
    Reichenbach himself also offers a geography of probability logic (3). He distinguishes (so called by him) the disparity theory and the identity theory. The problem consists in how are related two concepts of probability, namely that which is applied to sentences and that which is applied to events. On the identity con- ception, the frequency theory of probability is applicable to all concepts of probability: "sentential" probability theory is just isomorphic to "evential" theory of probability; Reichenbach defends the identity theory. According to Carnap, we have the abstract theory of probability which subjected either to statistical interpretation or to logical one. The frequency interpretation is is proper only with respect to statistical probability whereas logical probability is organized by the concept of partial entailment. Thus Carnap's inductive logic is an example of the disparity theory (4). Reichenbach mentioned his idea of probability logic for the first time in 1929. It happened at "Tagung ftr Erkenntnislehre der exakten Wissenschaften" in Prague where he delivered a talk "Kausalitat umd Wahrscheinlichkeit" (11). He suggested probability logic which "umschliesst die strenge (two-valued - J. W.) Logik als einen speziellen Fall der Wahrschewinlichkeit [...] sie verhalt sich zu dieser etwas wie die R i e m a n i s c h e Geometrie zur Eukliischen" (12). In the discussion after his talk, he added: "die Wahrscheinlichkeitstheorie in Rahmen der klassischen Logik keine Aufklarung finden kann" (13). He repeated the same in 1930: "in Wahrscheinlichteitslogik eine induktive Einscheidbarkeit und eine stetige Skala von Wahrcheitswerten auftritt, an Stelle der strenger Endscheidbarkeit und der zwei Wahrheitswerte der stren- gen Logik" (14).

    34. An Introduction To Probability And Inductive Logic - ANobii
    AN INTRODUCTION TO Probability and inductive logic reviews from readers. Also includes book price, book ratings, book discussions, book forums, book cover,
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    35. Bibliography
    Lakatos 1968 I.Lakatos, Changes in the Problem of inductive logic , Stove 1973 D.C.Stove, Probability and Hume s inductive Scepticism,
    http://www.geocities.com/Krishna_kunchith/dcs/popper/bibliography.html
    Bibliography
    Preface Part One Part Two Notes ... Cover
    Armstrong [1979]
    D.M.Armstrong, "Laws of Nature", Proceedings of the Russellian Society , Sydney University, vol.IV, 1979.
    Barzun [1959]
    J.Barzun, The House of Intellect
    Beattie [1770]
    J.Beattie, An Essay on the Nature and Immutability of Truth
    Bronowski [1974]
    J.Bronowski, "Humanism and the Growth of Knowledge", in The Philosophy of Karl Popper , ed. Schilpp, Open Court, La Salle, 1974.
    Carnap [1950]
    R.Carnap, Logical Foundations of Probability , University of Chicago Press, 1950.
    Descartes [1642]
    R.Descartes, Meditations , 1642, in Descartes, Philosophical Writings , ed. Anscombe and Geach, Nelson, London, 1966.
    Diogenes Laertius [Lives]
    Diogenes Laertius, Lives of Eminent Philosophers , Loeb Classical Library, 1970.
    Feyerabend [1970]
    P.K.Feyerabend, "Consolations for the Specialist", in Criticism and the Growth of Knowledge , eds. Lakatos and Musgrave, Cambridge University Press, 1970.
    Feyerabend [1975]
    P.K.Feyerabend, Against Method , NLB, London, 1975.
    Hempel [1965]
    C.G.Hempel

    36. Richard Jeffrey - Subjective Probability: The Real Thing - Reviewed By Branden F
    As such, this chapter would be a suitable (maybe even ideal) way to start an advanced undergraduate course on Probability and induction (or inductive logic)
    http://ndpr.nd.edu/review.cfm?id=4401

    37. Inductive Reasoning - Wikipedia, The Free Encyclopedia
    Of the candidate systems for an inductive logic, the most influential is Bayesianism. This uses Probability theory as the framework for induction.
    http://en.wikipedia.org/wiki/Inductive_reasoning
    var wgNotice = ""; var wgNoticeLocal = ""; var wgNoticeLang = "en"; var wgNoticeProject = "wikipedia";
    Inductive reasoning
    From Wikipedia, the free encyclopedia
    Jump to: navigation search Inductive reasoning is the complement of deductive reasoning. For other article subjects named induction, see Induction Induction or inductive reasoning , sometimes called inductive logic , is the process of reasoning in which the premises of an argument are believed to support the conclusion but do not ensure it. It is used to ascribe properties or relations to types based on tokens (i.e., on one or a small number of observations or experiences); or to formulate laws based on limited observations of recurring phenomenal patterns. Induction is employed, for example, in using specific propositions such as:
    This ice is cold. A billiard ball moves when struck with a cue.
    ...to infer general propositions such as:
    All ice is cold. All billiard balls struck with a cue move.
    Inductive reasoning has been attacked several times. Historically, David Hume denied its logical admissibility. During the twentieth century, thinkers such as

    38. Inductive Logic (Stanford Encyclopedia Of Philosophy)
    Indeed, any inductive logic that draws on the usual axioms of Probability theory to express the probabilistic support of hypotheses by evidence almost has
    http://plato.stanford.edu/entries/logic-inductive/
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    Inductive Logic
    First published Mon Sep 6, 2004; substantive revision Mon Oct 10, 2005 An inductive logic is a system of reasoning that extends deductive logic to less-than-certain inferences. In a valid deductive argument the premises logically entail the conclusion, where such entailment means that the truth of the premises provides a guarantee of the truth of the conclusion. Similarly, in a good inductive argument the premises should provide some degree of support for the conclusion, where such support means that the truth of the premises indicates with some degree of strength that the conclusion is true. Presumably, if the logic of good inductive arguments is to be of any real value, the measure of support it articulates should meet the following condition: Criterion of Adequacy (CoA)
    As evidence accumulates, the degree to which the collection of true evidence statements comes to support a hypothesis, as measured by the logic, should tend to indicate that false hypotheses are probably false and that true hypotheses are probably true.

    39. Inductive Logic Programming - Theory
    Introduction to the theory of inductive logic Programming (ILP) . The use of Probability distributions over concept classes, which assign probabilities
    http://web.comlab.ox.ac.uk/oucl/research/areas/machlearn/ilp_theory.html
    Introduction to the theory of Inductive Logic Programming (ILP)
    Inductive Inference
    Inductive inference is, in a sense, the inverse of deduction. However, deductive inference proceeds by application of sound rules of inference, while inductive inference typically involves unsound conjecture. Deductive inference derives consequences E from a prior theory T. Similarly, inductive inference derives a general belief T from specific beliefs E. In both deduction and induction T and E must be consistent and Within ILP it is usual to separate the above elements into examples (E), background knowledge (B), and hypothesis (H). These have the relationship B, H and E are each logic programs. E usually consists of ground unit clauses of a single target predicate. E can be separated into positive examples (E+), as ground unit definite clauses and negative examples (E-), ground unit headless Horn clauses. However, the separation into B, H and E is a matter of convenience
    Inverse Resolution
    Logic Programming relies heavily on Robinson's seminal work on Resolution Theorem Proving. He demonstrated that deductive inference in the first order predicate calculus could be effected by the single Resolution rule of inference. This forms a basis for the programming system Prolog.

    40. Summary Of Basic Rules For Probability Theory
    inductive logic (Probability Theory). inductive logic is the extension of deductive logic, describing the reasoning of an idealized “robot”, who represents
    http://cnx.org/content/m14747/latest/
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    Summary of Basic Rules for Probability Theory
    Module by: Laurence Riddle Summary: Provides a summary of the rules of inductive reasoning, as advocated by E.T. Jaynes. Includes probability rules, and decision theory. Note: Your browser doesn't currently support MathML. If you are using Microsoft Internet Explorer 6 or above, please install the required MathPlayer plugin . Firefox and other Mozilla browsers will display math without plugins, though they require an additional mathematics fonts package . Any browser can view the math in the Print (PDF) version “Probability theory is nothing but common sense reduced to calculation” (Laplace).
    Introduction
    This module was adapted from E.T. Jaynes’ manuscript entitled: “Probability Theory with Applications to Science and Engineering – A Series of Informal Lectures”, 1974. The entire manuscript is available at

    41. Inductive Logic Programming
    The development of inductive logic Programming has been heavily formal .. generated which expresses a Probability of the hypothesis holding given that
    http://www.doc.ic.ac.uk/~sgc/teaching/v231/lecture14.html
    Lecture 14
    Inductive Logic Programming
    Having studied a non-symbolic approach to machine learning (Artificial Neural Networks), we return to a logical approach, namely Inductive Logic Programming (ILP). As the name suggests, the representation scheme used in this approach is logic programs, which we covered in lecture 6. As a quick overview, one search strategy for ILP systems is to invert rules of deduction and therefore induce hypotheses which may solve the learning problem. In order to understand ILP, we will define a context for ILP, and use this to state the machine learning problem being addressed. Following this, we will look at the search operators in ILP, in particular the notion of inverting resolution in order to generate hypotheses. We will consider how the search is undertaken and run through a session with the Progol ILP system. We end by looking at some of the applications of Inductive Logic Programming.
    14.1 Problem Context and Specification
    The development of Inductive Logic Programming has been heavily formal (mathematical) in nature, because the major people in the field believe that this is the only way to progress and to show progress. It means that we have to (re-)introduce some notation, and we will use this to formally specify the machine learning problem faced by ILP programs. To do this, we first need to refresh and re-represent our knowledge about logic programs, and define background, example and hypothesis logic programs. Following this, we will specify some

    42. Should We Be Skeptical Of Inductive Logic In The Sciences? Text - Physics Forums
    The validity of inductive logic has long been known to be an .. That means that the two aliens should agree about the Probability (at least to some
    http://physicsforums.com/archive/index.php/t-101055.html
    Physics Help and Math Help - Physics Forums PF Lounge General Discussion Philosophy ... PDA View Full Version : Should we be skeptical of inductive logic in the sciences? Doctordick I notice that the entire "Skepticism and debunking" area (sorry, I had to correct the spelling – it just overwhelmed me) is entirely devoted to issues which are unaccepted by the scientific community: i.e., there is nothing there expressing any skepticism at all regarding accepted science. Now from the perspective that errors might exist in the current perspective (it should be clear to all that scientific breakthroughs related to errors in presumed truths have occurred throughout history) it seems to me that a little skepticism there would be healthy. :rofl:
    I have been posting on "physicsforums" for almost two years now but have managed to achieve little communicative success (I seem to have instead generated a lot of hostile reactions). I have seriously tried to understand why I have engendered hostility in exactly the people I would like to be talking to (that would be the competent educated component). Much has been said about my attitude but I don't really believe that. Instead I think it is criticism of their beliefs which has turned these people off; skepticism with regard to their basic viewpoint. An issue I suspect I have really not really explained very well. :yuck:
    My background is in theoretical physics (the area in which I earned my Ph.D.) and I have had utterly no training in philosophy. The attitude in the physics community (which I was certainly educated to believe) is pretty well the position that philosophical issues are of no scientific interest. Thus it is that I didn't fully really realize that my problems with conventional physics were exactly with the philosophy of science held sacrosanct by the community until recently (I have recently read a little philosophy).:tongue2:

    43. MIMS EPrints - 2007.98: A Note On Binary Inductive Logic
    Journal of Philosophical logic. xxxxxx. ISSN 1573-0433 Some principles of inductive reasoning satisfied by these Probability functions are discussed,
    http://eprints.ma.man.ac.uk/829/
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    2007.98: A Note on Binary Inductive Logic
    C. J. Nix and J. B. Paris A Note on Binary Inductive Logic. Journal of Philosophical Logic xxx-xxx . ISSN Full text available as: PDF - Requires a PDF viewer such as GSview Xpdf or Adobe Acrobat Reader
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    44. IngentaConnect Hume's Inductive Logic
    Hume s inductive logic. Author Mura A.1. Source Synthese, Volume 115, Number 3, Hume s Probability of causes is essentially nonBayesian in character.
    http://www.ingentaconnect.com/content/klu/synt/1998/00000115/00000003/00181103
    var tcdacmd="dt";

    45. Lecture 8
    We ve already made informal use of the notion of Probability. Popper thought that Carnap s inductive logicindeed, the very idea of inductive
    http://www.soc.iastate.edu/Sapp/phil_sci_lecture08.html
    Lecture 8 Carnap vs. Popper The idea is to say when we "test" scientific theories, and then form opinions regarding those theories based on such tests. What does scientific investigation consist in, and what are the rules governing it? Induction - Scientific investigation is a type of inductive process, where we increase the evidential basis for or against a particular theory without the evidence conclusively establishing the theory. "Induction" has had various meanings in the past: in the Renaissance, it was thought that the way to develop scientific theories was to examine all the evidence you could and then extrapolate from that to form theories. (This was a method of developing theories as well as a method of justifying them.) This was in contrast to positing "hypotheses" about unobservable entities to explain the phenomena. (Indeed, Newton was criticized for formulating such "hypotheses.") This view did not survive, however, since it became apparent that you can't form theories in this way. Thus, we have to understand "induction" differently (supposing that it is a useful concept at all). Carnap is an inductivist, and in this respect he differs from Popper. However, both agree (taking inspiration from Hume) that there is a serious problem with the justification of "inductive inference." Carnap discusses it in terms of a puzzle about how we arrive at and form opinions regarding laws. (Note that notion of a law that Carnap assumes is similar to Hempel's.) Laws are universal statements (at least), hence apply to an at least potentially infinite domain. However, our empirical data is always finite. (Consider ideal gas law.) What does deductive logic give us to evaluate theories?

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