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Single Idea 17600
[filed under theme 14. Science / C. Induction / 6. Bayes's Theorem
]
Full Idea
It is well known that the general problem with Bayesian inference is that it is computationally intractable, so the algorithms used for computing posterior probabilities have to be approximations.
Gist of Idea
Bayesian inference is forced to rely on approximations
Source
Paul Thagard (Coherence: The Price is Right [2012], p.45)
Book Ref
-: 'Southern Journal of Philosophy' [-], p.45
A Reaction
Thagard makes this sound devastating, but then concedes that all theories have to rely on approximations, so I haven't quite grasped this idea. He gives references.
Related Idea
Idea 17599
The best theory has the highest subjective (Bayesian) probability? [Thagard]
The
19 ideas
with the same theme
[equation showing probability of an inductive truth]:
14280
|
The probability of two events is the first probability times the second probability assuming the first
[Bayes]
|
22656
|
Trying to assess probabilities by mere calculation is absurd and impossible
[James]
|
19143
|
Ramsey gave axioms for an uncertain agent to decide their preferences
[Ramsey, by Davidson]
|
19155
|
Instead of gambling, Jeffrey made the objects of Bayesian preference to be propositions
[Jeffrey, by Davidson]
|
2751
|
Probabilities can only be assessed relative to some evidence
[Dancy,J]
|
2798
|
Probability of H, given evidence E, is prob(H) x prob(E given H) / prob(E)
[Horwich]
|
2799
|
Bayes' theorem explains why very surprising predictions have a higher value as evidence
[Horwich]
|
16802
|
Bayes seems to rule out prior evidence, since that has a probability of one
[Lipton]
|
16803
|
Bayes is too liberal, since any logical consequence of a hypothesis confirms it
[Lipton]
|
16801
|
A hypothesis is confirmed if an unlikely prediction comes true
[Lipton]
|
16837
|
Bayes involves 'prior' probabilities, 'likelihood', 'posterior' probability, and 'conditionalising'
[Lipton]
|
16839
|
Explanation may be an important part of implementing Bayes's Theorem
[Lipton]
|
6372
|
Since every tautology has a probability of 1, should we believe all tautologies?
[Pollock/Cruz]
|
17600
|
Bayesian inference is forced to rely on approximations
[Thagard]
|
14990
|
Bayes produces weird results if the prior probabilities are bizarre
[Sider]
|
6798
|
Bayesianism claims to find rationality and truth in induction, and show how science works
[Bird]
|
22178
|
If the rules only concern changes of belief, and not the starting point, absurd views can look ratiional
[Okasha]
|
17943
|
Probability supports Bayesianism better as degrees of belief than as ratios of frequencies
[Colyvan]
|
22365
|
The Bayesian approach is explicitly subjective about probabilities
[Reiss/Sprenger]
|