Bayes and BrentanoStephen Yablo (Massachusetts Institute of Technology)
part of:
Advances in Truthmaker Semantics 2
Carl-Friedrich-von-Siemens Foundation
Südliches Schlossrondell 23 80638
Germany
Sponsor(s):
- The Siemens Foundation
- The Humboldt Foundation
- New York University
- Syracuse University
Organisers:
Details
When evidence E is acquired, pr(E) rises to 1. What about its truth-makers' probabilities pr(ε)? These will have to change too, as E's probability is a function of theirs. Bayes' rule is strangely uncurious about this; it doesn't ask about the probabilistic underpinnings of E's newfound certainty. What possible excuse can it have, when E's bearing on H depends on the relative probabilities of pro-H truth-makers and anti-H?. The explanation (it's not an excuse) is that ε for the Bayesian trails along probabilistically after E. A rule allowing E to trail along after its truth-makers is proposed. All heck breaks loose, e.g., evidential relations become hyperintensional.
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