Belief that the use of induction in science can be rationally justified by appeal to Bayes’s Theorem (Thomas Bayes, 1702-1761)).
This says that the probability of one proposition, given another, equals the probability of the second, given the first, multiplied by the prior probability of the first (that is the probability it already has, irrespective of the second) and divided by that of the second. The first proposition will be the one we are interested in, while the second will be some piece of evidence; and according to the theorem this will support the first proposition in proportion as its own prior probability is low, which suits our intuitions.
However, though the theorem itself is undisputed, its usefulness depends on our assigning suitable prior probabilities, with numerical values, to the two propositions. This raises problems.
‘Bayesianism’ is also sometimes used of any conception of rationality based on maximizing expected utilities, which links it to subjectivist theories of probability.
Table of Contents
- 1 Videos
- 2 Related Products
- 2.1 In Defence of Objective Bayesianism
- 2.2 Quantum Paradoxes and Interpretations
- 2.3 QBism
- 2.4 Quantum Mechanics Between Ontology and Epistemology (European Studies in Philosophy of Science)
- 2.5 Foundations of Bayesianism (Applied Logic Series)
- 2.6 Probability and Inference in the Law of Evidence: The Uses and Limits of Bayesianism (Boston Studies in the Philosophy and History of Science)
- 2.7 Economic Ideas You Should Forget
- 2.8 A Philosophical Enquiry into the Sublime and Beautiful (Penguin Classics)
- 2.9 Belief, Evidence, and Uncertainty: Problems of Epistemic Inference (SpringerBriefs in Philosophy)
- 2.10 Hume's Problem Solved: The Optimality of Meta-Induction (The MIT Press)
- limited independent variety principle
- logical atomism
- subjectivist theories of probability
- deduction theorem
- relevance logics
Videos
In Defence of Objective Bayesianism
- Hardcover Book
- Williamson, Jon (Author)
- English (Publication Language)
- 200 Pages - 07/01/2010 (Publication Date) - Oxford University Press (Publisher)
Quantum Paradoxes and Interpretations
- Amazon Prime Video (Video on Demand)
- Erica W. Carlson (Actor)
- Erica W. Carlson (Writer) - The Great Courses (Producer)
- English (Playback Language)
- English (Subtitle)
QBism
- Amazon Kindle Edition
- von Baeyer, Hans Christian (Author)
- English (Publication Language)
- 272 Pages - 10/03/2016 (Publication Date) - Harvard University Press (Publisher)
Quantum Mechanics Between Ontology and Epistemology (European Studies in Philosophy of Science)
- Boge, Florian J. (Author)
- English (Publication Language)
- 432 Pages - 01/31/2019 (Publication Date) - Springer (Publisher)
Foundations of Bayesianism (Applied Logic Series)
- Hardcover Book
- English (Publication Language)
- 416 Pages - 12/31/2001 (Publication Date) - Springer (Publisher)
Probability and Inference in the Law of Evidence: The Uses and Limits of Bayesianism (Boston Studies in the Philosophy and History of Science)
- Hardcover Book
- English (Publication Language)
- 345 Pages - 09/30/1988 (Publication Date) - Springer (Publisher)
Economic Ideas You Should Forget
- English (Publication Language)
- 180 Pages - 03/13/2017 (Publication Date) - Springer (Publisher)
A Philosophical Enquiry into the Sublime and Beautiful (Penguin Classics)
- Amazon Kindle Edition
- Burke, Edmund (Author)
- English (Publication Language)
- 530 Pages - 11/26/1998 (Publication Date) - Penguin (Publisher)
Belief, Evidence, and Uncertainty: Problems of Epistemic Inference (SpringerBriefs in Philosophy)
- Bandyopadhyay, Prasanta S. S. (Author)
- English (Publication Language)
- 192 Pages - 03/08/2016 (Publication Date) - Springer (Publisher)
Hume's Problem Solved: The Optimality of Meta-Induction (The MIT Press)
- Amazon Kindle Edition
- Schurz, Gerhard (Author)
- English (Publication Language)
- 400 Pages - 04/12/2019 (Publication Date) - The MIT Press (Publisher)
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