Slightly More Realistic Personal Probability

@article{Hacking1967SlightlyMR,
  title={Slightly More Realistic Personal Probability},
  author={Ian Hacking},
  journal={Philosophy of Science},
  year={1967},
  volume={34},
  pages={311 - 325}
}
  • I. Hacking
  • Published 1 December 1967
  • Philosophy
  • Philosophy of Science
A person required to risk money on a remote digit of π would, in order to comply fully with the theory [of personal probability] have to compute that digit, though this would really be wasteful if the cost of computation were more than the prize involved. For the postulates of the theory imply that you should behave in accordance with the logical implications of all that you know. Is it possible to improve the theory in this respect, making allowance within it for the cost of thinking, or would… 
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References

SHOWING 1-10 OF 27 REFERENCES
The Theory of Probability
TLDR
This book is a searching analysis of the fundamental principles of the theory of probability and of the particular judgments involved in its application to concrete problems and is in agreement with the views expressed by Dr. Wrinch and the present reviewer.
Possibility
  • Philosophy
  • 1912
I formerly defined the possible as that which in a given state of information (real or feigned) we do not know not to be true. But this definition today seems to me only a twisted phrase which, by…
On Knowledge and Belief
On the Foundations of Statistical Inference
Abstract The concept of conditional experimental frames of reference has a significance for the general theory of statistical inference which has been emphasized by R. A. Fisher, D. R. Cox, J. W.…
The Algebra of Probable Inference
TLDR
In Algebra of Probable Inference, Richard T. Cox develops and demonstrates that probability theory is the only theory of inductive inference that abides by logical consistency, thereby establishing, for the first time, the legitimacy of probability theory as formalized by Laplace in the 18th century.
Probabilistic Inference and the Concept of Total Evidence
My purpose is to examine a cluster of issues centering around the socalled statistical syllogism and the concept of total evidence. The kind of paradox that is alleged to arise from uninhibited use…
Logic of Statistical Inference
TLDR
This chapter discusses the long run frequencies, statistical tests, and theories of testing that led to Bayes' theory, as well as the subjective theory.
Logical Foundations of Probability
Logical Foundations of ProbabilityBy Rudolf Carnap. Pp. xvii + 607. (London: Routledge and Kegan Paul, Ltd., 1951.) 42s. net.
From a Logical Point of View
TLDR
It is the wish of the author to keep general terms distinct from abstract singular terms, so that the over-all dis­ pensability of some assumption that has always rankled as ad hoc and unintuitive is discovered.
The role of probability in fiducial inference
  • Sankhya, A, XXVIII (1966) 271-296.
  • 1966
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