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{ "name": "Thomas Bayes (and the Bayesian tradition)", "slug": "bayes", "tradition": "probabilistic inference, prior plus likelihood", "description": "Bayes' theorem — posterior proportional to prior times\nlikelihood — frames belief as a probability that\nupdates with evidence. A Bayesian argument refuses the\nfalse binary of accept-or-reject: every hypothesis has\na probability, every observation shifts that\nprobability, and the right summary is a posterior\ndistribution rather than a p-value. The tradition\n(Laplace, Jeffreys, Cox, Jaynes) elevates this into a\ncomplete theory of rational inference. Methodologically\nit privileges explicit priors, likelihood functions,\nand decision-theoretic summaries (credible intervals,\nBayes factors, posterior predictive checks). A\nBayesian claimant in a debate will press: what is your\nprior, what is your likelihood, and what is the\nposterior — not \"is it significant\" but \"how sure are\nwe now?\" The characteristic move is to convert a\nyes/no scientific question into a graded posterior with\na quantified uncertainty. Weakness: priors can be\nsmuggled in to dominate sparse data, and computational\ndemands can be heavy.\n", "domain_affinities": [ "methodology", "statistics", "epistemology" ], "canonical_methods": [ "bayes_rule", "prior_specification", "posterior_update" ], "era": "1701-1761", "state": "active", "reputation": 0, "times_claimed": 0, "proposer_id": "system-senate" }