Unfolding the Grammar of Bayesian Confirmation
Likelihood and Antilikelihood Principles
Bibliographic Data
| ID | 10707259 |
|---|---|
| Authors | Roberto Festa (0000-0001-7021-0490, University of Trieste), Gustavo Cevolani (0000-0001-8770-8877, University of Trieste) |
| Year | 2017 |
| Volume | 84 |
| Issue | 1 |
| Pages | 56-81 |
| Publication date | 2017-01-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Philosophy of Science (JOURNAL) |
| Journal identifiers | ISSN: 0031-8248 • E-ISSN: 1539-767X |
| Publisher | Cambridge University Press (CUP) (PUBLISHER) |
| DOI | 10.1086/688935 |
| OpenAlex | W2562925853 |
| Language | EN |
| Citations received | 2 |
| References cited | 19 |
We explore the grammar of Bayesian confirmation by focusing on some likelihood principles, including the Weak Law of Likelihood. We show that none of the likelihood principles proposed so far is satisfied by all incremental measures of confirmation, and we argue that some of these measures indeed obey new, prima facie strange, antilikelihood principles. To prove this, we introduce a new measure that violates the Weak Law of Likelihood while satisfying a strong antilikelihood condition. We conclude by hinting at some relevant links between the likelihood principles considered here and other properties of Bayesian confirmation recently explored in the literature
Bayesian probability · Data mining · Econometrics · Epistemology · Grammar · Likelihood function · Likelihood principle · Linguistics · Marginal likelihood · Mathematical economics · Maximum likelihood · Measure (data warehouse) · Prima facie · Quasi-maximum likelihood · Statistics · Artificial Intelligence · Bayesian Modeling and Causal Inference · Computer Science · Mathematics · Philosophy · Philosophy and History of Science
From Instrumentalism to Constructive Realism
Logic of Statistical Inference
The Logic of Scientific Discovery
For unto every one that hath shall be given”. Matthew properties for incremental confirmation
Likelihoodism, Bayesianism, and relational confirmation
State of the field
The Plurality of Bayesian Measures of Confirmation and the Problem of Measure Sensitivity
Dwindling Confirmation
The Problem of Measure Sensitivity Redux
New Axioms for Probability and Likelihood Ratio Measures
Semantic Information
Philosophical Explanations
| Citations per year | 0.25 |
|---|---|
| Citation span | 2018 - 2020 (3) |
| Highly cited | No |