ben_levinstein comments on Local Trust

[ben_levinstein]

There are six total worlds:$R\wedge A=1,R\wedge A=.75,R\wedge A=.25,\neg R\wedge A=.75,\neg R\wedge A=.25$, and$\neg R\wedge A=0$.

All we get are Alice’s credences in rain (given by an inequality), so the only propositions we might learn are $\left\{w_1\right\},\{w_1,w_2,w_4\},\{w_1,w_2,w_3,w_4,w_5\}$(corresponding to non-trivial $A\ge t$ propositions), and $\{w_2,w_3,w_4,w_5,w_6\},\{w_3,w_5,w_6\}$, and $\left\{w_6\right\}$ (corresponding to non-trivial $A\le t$ propositions). Local trust only constrains your reaction to these propositions directly, so it won’t require deference on the other 58 events. (Well, 56.)