# Logic of subjective probability

arXiv: https://arxiv.org/abs/2309.01173 · HTML: https://mlsanity.com/paper/2309.01173/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 1 of its 38 references that are in the map.
- First posted on arXiv 3 Sep 2023.

## Builds on (most cited first, 1 of 1)

- [The diachronic Bayesian](https://mlsanity.com/paper/2308.13069/) (2023)

## Abstract (arXiv)

In this paper I discuss both syntax and semantics of subjective probability. The semantics determines ways of testing probability statements. Among important varieties of subjective probabilities are intersubjective probabilities and impersonal probabilities, and I will argue that well-tested impersonal probabilities acquire features of objective probabilities. Jeffreys's law, my next topic, states that two successful probability forecasters must issue forecasts that are close to each other, thus supporting the idea of objective probabilities. Finally, I will discuss connections between subjective and frequentist probability.