Arne Fisher's 'Review' of J M Keynes's A Treatise on Probability

Arne Fisher's 'Review' of J M Keynes's A Treatise on Probability PDF Author: Michael Emmett Brady
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Arne Fisher attempted a cover up of an important footnote in chapter 29 of the A Treatise on Probability (1921), in which Keynes made it clear that he was not going to use the modern Method of Moments, which used a Moment Generating Function approach based on a Taylor Series expansion very similar to the Maclaurin Series, a special case of the Taylor series expansion, used by Keynes in chapter 17 of the A Treatise on Probability. Cumulants and semi-invariants, which A. Fisher claimed Keynes had no inkling of and did not understand, are simply terms used to describe particular parts of the Taylor series expansion carried out to provide the optimal estimate of a series using the Moment Generating Function technique. A. Fisher attempted to create the illusion that Keynes had made a number of very critical comments about the mathematical capabilities of Laplace, Bernoulli, and Poisson on pp. 358-361 of the A Treatise on Probability. These are figments of Fisher's own imagination. A. Fisher's “review” is really about one section of one chapter, chapter 29, sections 16-18, pp. 358-361, of the A Treatise on Probability. Nowhere in these pages will a reader find any such comments. A. Fisher, in his “review,” also sought to create the illusion that there were many mathematical errors in the A Treatise on Probability in these sections. In reality, there are no mathematical errors in these sections. Keynes simply used an older method of generating values for the Poisson distribution instead of using the most modern approach, the Method of Moments, which used the Moment Generating Function, with which Keynes was well acquainted with. A. Fisher gambled that no one reading his “review” would go back and check to see if his comments were correct. His gambit worked for nearly 94 years.

Arne Fisher's 'Review' of J M Keynes's A Treatise on Probability

Arne Fisher's 'Review' of J M Keynes's A Treatise on Probability PDF Author: Michael Emmett Brady
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
Arne Fisher attempted a cover up of an important footnote in chapter 29 of the A Treatise on Probability (1921), in which Keynes made it clear that he was not going to use the modern Method of Moments, which used a Moment Generating Function approach based on a Taylor Series expansion very similar to the Maclaurin Series, a special case of the Taylor series expansion, used by Keynes in chapter 17 of the A Treatise on Probability. Cumulants and semi-invariants, which A. Fisher claimed Keynes had no inkling of and did not understand, are simply terms used to describe particular parts of the Taylor series expansion carried out to provide the optimal estimate of a series using the Moment Generating Function technique. A. Fisher attempted to create the illusion that Keynes had made a number of very critical comments about the mathematical capabilities of Laplace, Bernoulli, and Poisson on pp. 358-361 of the A Treatise on Probability. These are figments of Fisher's own imagination. A. Fisher's “review” is really about one section of one chapter, chapter 29, sections 16-18, pp. 358-361, of the A Treatise on Probability. Nowhere in these pages will a reader find any such comments. A. Fisher, in his “review,” also sought to create the illusion that there were many mathematical errors in the A Treatise on Probability in these sections. In reality, there are no mathematical errors in these sections. Keynes simply used an older method of generating values for the Poisson distribution instead of using the most modern approach, the Method of Moments, which used the Moment Generating Function, with which Keynes was well acquainted with. A. Fisher gambled that no one reading his “review” would go back and check to see if his comments were correct. His gambit worked for nearly 94 years.

Reviewing the Reviewer's of Keynes's a Treatise on Probability

Reviewing the Reviewer's of Keynes's a Treatise on Probability PDF Author: Michael Brady
Publisher: Xlibris Corporation
ISBN: 1524544892
Category : Philosophy
Languages : en
Pages : 179

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Book Description
The standard view of the economics profession is that Keynes was a brilliant, intuitive, nonrigorous innovator. These essays show that Keynes backed up his intuitions with a rigorous mathematical and logical supporting analysis, which has been overlooked.

F. Y. Edgeworth on J. M. Keynes' A Treatise on Probability

F. Y. Edgeworth on J. M. Keynes' A Treatise on Probability PDF Author: Michael Emmett Brady
Publisher:
ISBN:
Category :
Languages : en
Pages : 18

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Book Description
Edgeworth's two reviews of the A Treatise on Probability, in Mind and The Journal of the Royal Statistical Society, demonstrated an understanding of many of the topics of Keynes' approach that was not achieved by any other reviewer, including the reviews made by B. Russell and C. D. Broad.Edgeworth covered and understood that interval valued probability was the most general representation of the probability relation for Keynes, that the weight of the evidence, was opposed to the weight of the argument, V, was an important breakthrough, along with Keynes' conventional coefficient of weight and risk, c.He recognized the connection between the "finite probabilities" of part III of the TP and interval valued probability, as well as the connection between them and Keynes' concepts of intuition, the logic of similarity-dissimilarity, resemblances, pattern recognition, and analogy. He understood the importance of being able to apply Chebyshev's Inequality in areas where Keynes had raised concerns about the effectiveness of the standard approach. Edgeworth's review is vastly superior to the reviews of Ronald Fisher and Arne Fisher, as well as to the reviews of E. Wilson, R. Pearl, or H. Jefferys.

Raymond Pearl's Review of J M Keynes's A Treatise on Probability

Raymond Pearl's Review of J M Keynes's A Treatise on Probability PDF Author: Michael Emmett Brady
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
R. Pearl's attempt to review J M Keynes's A Treatise on Probability for Science is only a near fiasco compared with the failed attempt made by Ronald Fisher to review Keynes's book for the Eugenics Society. It provides the educated reader with minimal value. How this review made it through the referees, associate editors, and editors at the journal, Science, is a mystery worthy of investigation. Again, anyone attempting to read or review Keynes' A Treatise on Probability, without having any knowledge or familiarity of how J M Keynes made use in the A Treatise on Probability of George Boole's application of his logic to probability in chapters 16-21 of The Laws of Thought (1854), is foolish.

A Treatise on Probability

A Treatise on Probability PDF Author: John Maynard Keynes
Publisher: Courier Corporation
ISBN: 0486159647
Category : Mathematics
Languages : en
Pages : 484

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Book Description
Originally published in 1921, this mathematical work represents a significant contribution to the logical probability of propositions. Keynes effectively dismantled the classical theory, launching the "logical-relationist" theory of probability.

F. P. Ramsey's 1922 Cambridge Magazine Review of J M Keynes's A Treatise on Probability (1921)

F. P. Ramsey's 1922 Cambridge Magazine Review of J M Keynes's A Treatise on Probability (1921) PDF Author: Michael Emmett Brady
Publisher:
ISBN:
Category :
Languages : en
Pages : 13

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Book Description
Ramsey's 1922 “review” of J M Keynes's A Treatise on Probability (1921) is an intellectual mess. Ramsey fails to score even one point against Keynes. It was most likely published because of Ramsey's alleged reputation as the “boy genius”. There are myriad errors in the review. For just one instance, consider the claim that Part III of the A Treatise on Probability relies only on Mills' Method of Agreement. This would mean that Keynes only considered a concept of similarity, a concept that Ramsey had no clue about. In fact, Keynes's analysis is based on degrees of similarity and dissimilarity. It is quite impossible to understand Part III if the reader has not mastered the Boolean framework erected by Keynes in Part II. Ramsey did not have the slightest clue about the interval estimate approach used by Keynes in Part II of the TP. Ramsey had no idea that Keynes rejected the axiom of additivity except in the special case where the weight of the evidence, w, equaled one and the decision maker had linear probability preferences.

Scandinavian Actuarial Journal

Scandinavian Actuarial Journal PDF Author:
Publisher:
ISBN:
Category : Life insurance
Languages : en
Pages : 646

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Book Description
Includes section "Litteraturanmeldelser."

A Treatise on Probability

A Treatise on Probability PDF Author: John Maynard Keynes
Publisher: Createspace Independent Publishing Platform
ISBN: 9781724600080
Category :
Languages : en
Pages : 556

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Book Description
A Treatise on Probability: Large Print By John Maynard Keynes First published in 1920, this is the foundational work of probability theory, which helped establish the author's enormous influence on modern economic and even political theories. Exploring aspects of randomness and chance, inductive reasoning and logical statistics, this is a work that belongs in the library of any interested in numbers and their application in the real world. We are delighted to publish this classic book as part of our extensive Classic Library collection. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. The aim of our publishing program is to facilitate rapid access to this vast reservoir of literature, and our view is that this is a significant literary work, which deserves to be brought back into print after many decades. The contents of the vast majority of titles in the Classic Library have been scanned from the original works. To ensure a high quality product, each title has been meticulously hand curated by our staff. Our philosophy has been guided by a desire to provide the reader with a book that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic work, and that for you it becomes an enriching experience.

A Treatise on Probability

A Treatise on Probability PDF Author: John Keynes
Publisher:
ISBN: 9781548119867
Category :
Languages : en
Pages : 550

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Book Description
John Maynard Keynes's classic work on the study of probability.

A Treatise on Probability

A Treatise on Probability PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 466

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Book Description