Readings in Formal Epistemology pp 177-185 | Cite as

# Stopping to Reflect

Chapter

## Abstract

Our note is prompted by a recent article by Frank Arntzenius, “Some Problems for Conditionalization and Reflection,” which appeared in this We will use the expression “

*Journal*. Through a sequence of examples, that article purports to show limitations for a combination of two inductive principles that relate current and future rational degrees of belief:*Temporal Conditionalization*and*Reflection*:$${P}_{later}(A) = {P}_{later}\left(A|B\right) = {P}_{now}\left(A|B\right) $$

$$ {P}_{now}\left(A|{P}_{later}(A)=r\right)=r. $$

*Reflection*holds with respect to the event*A.*” to apply to this equality for a specific event*A*.## Keywords

Local Time Rational Agent Conditional Independence Standard Designator Fair Coin
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

## Notes

### Acknowledgements

Our research was carried out under NSF Grant DMS 0139911. We thank Joseph Halpern for alerting one of us (*T.S*.) to the *Sleeping Beauty* problem, independent of Arntzenius’ article.

## Copyright information

© Springer International Publishing Switzerland 2016