The Stanford Encyclopedia of Philosophy has a brand new article on Bayesian Epistemology, replacing the previous entry on that topic.

https://plato.stanford.edu/entries/epistemology-bayesian/

Table of Contents:

• 1. A Tutorial on Bayesian Epistemology
  • 1.1 A Case Study
  • 1.2 Two Core Norms
  • 1.3 Applications
  • 1.4 Bayesians Divided: What Does Coherence Require?
  • 1.5 Bayesians Divided: The Problem of the Priors
  • 1.6 An Attempted Foundation: Dutch Book Arguments
  • 1.7 Alternative Foundations
  • 1.8 Objections to Conditionalization
  • 1.9 Objections about Idealization
  • 1.10 Concerns, or Encouragements, from Non-Bayesians
• 2. A Bit of Mathematical Formalism
• 3. Synchronic Norms (I): Requirements of Coherence
  • 3.1 Versions of Probabilism
  • 3.2 Countable Additivity
  • 3.3 Regularity
  • 3.4 Norms of Conditional Credences
  • 3.5 Chance-Credence Principles
  • 3.6 Reflection and Other Deference Principles
• 4. Synchronic Norms (II): The Problem of the Priors
  • 4.1 Subjective Bayesianism
  • 4.2 Objective Bayesianism
  • 4.3 Forward-Looking Bayesianism
  • 4.4 Connection to the Uniqueness Debate
• 5. Issues about Diachronic Norms
  • 5.1 Old Evidence
  • 5.2 New Theory
  • 5.3 Uncertain Learning
  • 5.4 Memory Loss
  • 5.5 Self-Locating Credences
  • 5.6 Bayesianism without Kinematics
• 6. The Problem of Idealization
  • 6.1 De-idealization and Understanding
  • 6.2 Striving for Ideals
  • 6.3 Applications Empowered by Idealization
• 7. Closing: The Expanding Territory of Bayesianism
• Bibliography
• Academic Tools
• Other Internet Resources
• Related Entries