Software System Design Methods pp 491-536 | Cite as

# The Rationale of Reliability Prediction

## Abstract

Rudolf Carnap (Ref 1) characterizes the activities of scientists as being part practical: they arrange experiments and make observations, and part theoretical: they formulate the results of observations into sentences, compare these results with those of other observers, try to explain them by a theory, endeavour to confirm the theory and make predictions by the use of this theory. Few scholars, including Carnap himself, accept this account as to how science is done as being anywhere near accurate. In fact, a number of philosophers e.g. Kuhn, Popper, Feyerabend, Lakatos have gained international reputations by pointing out that science does not progress in such an orderly manner. However Carnap’s picture closely relates to the popular myth of how scientific progress is achieved. The point of this account is not so much that it accounts for scientific progress but that it can serve to account for this progress since it adequately emphasizes each stage of the development of a theory.

## Keywords

Causal Chain Logical Probability Axiomatic System Inductive Logic Causal Influence## Preview

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## References

- 1.Foundations of Logic and Mathematics Rudolf Carnap Volume 1 Number 3 Foundations of the Unity of Science The University of Chicago Press Third Impression 1971Google Scholar
- 2.The Interpretation of Interactions in Contingency Tables E. H. Simpson Journal of Royal Statistical Society Series B No: 2 (1961) 238–241Google Scholar
- 3.An Introduction to Logic and Scientific Method M. R. Cohen. E. Nagel Routledge & Kegan Paul. Reprinted 1978Google Scholar
- 4.Fact, Fiction and Forecast. N. Goodman Harvard University Press 4th Edition 1983Google Scholar
- 5.On Induction Chapter 1. On Demarcation (Falsifiability) Introduction. On Verification (Falsification) Chapter 2 Section 22. Objective Knowledge. Karl R. Popper. Oxford & Clarendon Press Revised Edition 1983Google Scholar
- 6.Sense Data and Physics Published in Mysticism and Logic (Page 155) Bertrand Russell George Allen & Unwin 1918Google Scholar
- 7.Chapter vii — Probability and Induction. Human Knowledge Its Scope and Limits Bertrand Russell George Allen & UnwinGoogle Scholar
- 8.Induction as Hypothesis The Philosophy of the Inductive Sciences (1840) Volume II William Whewell Quoted in Readings on Logic Edited by Irving M. Copi & James A. Gould MacMillan Publishing Co. Inc. 1972Google Scholar
- 9.Science and Hypothesis Henri Poincare Dover Books 1952Google Scholar
- 10.Page 6 Aspects of Scientific Explanation Carl G. Hempel The Free Press Collier Macmillan 1970Google Scholar
- 11.Preface to First Edition Theory of Probability Harold Jeffreys Clarendon Press Third Edition 1983Google Scholar
- 12.Theories of Probability Terrence L. Fine Academic Press 1973Google Scholar
- 13.Logic of Statistical Inference Ian Hacking Cambridge University Press reprinted 1979Google Scholar
- 14.Probability, Statistics and Truth Richard Von Mises Dover 1981Google Scholar
- 15.On Assumptions Alexius Meinong Edited and translated and Introduction by James Heanue University of California Press 1976Google Scholar
- 16.Foundations of Probability A.N. Kolmogoroff English Translation Edited by Nathan Morrison Chelsea Publishing Co. 2nd Edition 1956Google Scholar
- 17.See entry — Axioms of Probability Contribution by I. J. Good Encyclopedia of Statistical Sciences John Wiley & Son Vol 1–1982Google Scholar
- 18.On a New Axiomatic Theory of Probability Alfred Renyi ACTA Mathematics ACAD SCI Hungary 1955 Volume 6Google Scholar
- 19.Treatise on Probability John Maynard Keynes MacMillan Press Ltd Royal Economic Society Edition 1973Google Scholar
- 20.Logical Foundations of Probability Rudolph Carnap University of Chicago Press 2nd edition 1962Google Scholar
- 21.Probability and Hume’s Inductive Scepticism D. C. Stove Oxford University Press 1973Google Scholar
- 22.The Foundations of Statistics Leonard J. Savage Dover 2nd Edition 1972MATHGoogle Scholar
- 23.Theory of Probability. A Critical Introductory Treatment Bruno De Finetti John Wiley 1974 & 1975 (2 Vols)Google Scholar
- 24.Good Thinking: The Foundations of Probability and its Applications I. J. Good University of Minnesota Press 1983Google Scholar
- 25.Optimal Statistical Decisions Morris H. DeGroot McGraw Hill 1970Google Scholar
- 26.Bayesian Statistics: A Review D. V. Lindley SIAM 1971Google Scholar
- 27.Physics and Beyond Werner Heisenberg George Allen & Unwin 1971Google Scholar
- 28.See entry Bayesian Inference Contribution by D.V. Lindley Encyclopedia of Statistical Sciences John Wiley & Son Volume I 1982Google Scholar
- 29.Initial Probabilities: A Prerequisite For Any Valid Induction Bruno De Finetti Induction, Physics and Ethics (Proceedings and Discussions of the 1968 Salzburg Coloquium in the Philosophy of Science) Edited by Paul Weingartner & Gerhard Zecha Humanities Press 1970Google Scholar
- 30.Advanced Theory of Statistics (Vol II page 299 Section 26.4) Sir Maurice Kendall and A. Stuart Griffiths 1979Google Scholar
- 31.Causation and Conditionals Ernest Sosa — Editor Oxford reading in Philosophy Oxford University Press reprinted 1980Google Scholar
- 32.Introduction to Logic Irving M. Copi Collier MacMillan 6th edition 1982 (For conditions of Cause see Pages 409–415, On Mill’s Method see pages 415–461)MATHGoogle Scholar
- 33.The Cement of the Universe: A Study of Causation J. L. Mackie Clarendon Library of Logic and Philosophy Oxford at the Clarendon Press reprinted in Paperback 1980 ( On Mill’s Method see particularly the Appendix on Eliminative Methods of Induction )Google Scholar
- 34.A Treatise of Human Nature David Hume Edited by D.G.C. MacNabb Fontana/Collins P/B 5th Impression 1978 (2 vols)Google Scholar
- 35.Information, Weight of Evidence, The Singularity between Probability Measures and Signal Detection I. J. Good & D. B. Osteyee Springer, Verlag 1974MATHGoogle Scholar
- 36.Causality and Modern Science Mario Bunge Dover Publications Inc 1979Google Scholar
- 37.Laws Modalities and Counterfacturals Hans Reichenbach University of California Press 1976 see also Ref 4Google Scholar
- 38.Chance, Cause, Reason Arthur W. Burks The University of Chicago Press 1977Google Scholar
- 39.Counterfactuals and Causal Laws J. L. Mackie Published in: Analytical Philosophy Edited by R. J. Butler Basil Blackwell Oxford 1966Google Scholar
- 40.Foundations of Reliability W. A. Thompson Technometrics Vol 23 No: 1 1981Google Scholar
- 41.Dictionary of Philosophy Peter A. Angeles Barnes & Noble Books 1981Google Scholar
- 42.Fundamentals of Concept Formation in Empirical Science Carl G. Hempel Published in; Vol 2 Foundation of the Unity of Science Edited: Otto Neurall, Rudolph Carnap & Charles Morris University of Chicago Press 1970Google Scholar
- 43.Dictionary of the History of Ideas Vol 1 Philip P. Weiner Chief Editor Charles Scribner & Son 1973 Entry on Axiomization contributed by Robert BlancheGoogle Scholar
- 44.A Probabilistic Theory of Causality Patrick Suppes North-Holland 1972Google Scholar
- 45.A Causal Calculus (see also Ref 24) I. J. Good The British Journal for the Philosophy of Science Part 1 Pages 305–318 Volume 11 1961 Part 2 Pages 43–51 Volume 12 1962Google Scholar
- 46.Corroboration, Explanation, Evolving Probability, Simplicity and a Sharpened Razor I. J. Good British Journal of Philosophy of Science No: 19 1968Google Scholar
- 47.Sequential Analysis Abraham Wald Dover Publications Inc 1947Google Scholar
- 48.Statistical Explanation and Statistical Relevance Wesley C. Salmon with contributions by Richard C. Jeffrey & James G. Green University of Pittsburgh Press 1971Google Scholar
- 49.Scientific Explanation and the Causal Structure of the World Wesley C. Salmon Princeton University Press 1984Google Scholar
- 50.Probablistic Causality Wesley C. Salmon Pacific Philosophical Quarterly Vol 1 1980 (pages 50–74 )Google Scholar