Full Idea
A good account of relevance logic suggests that a conditional will be true when the flow of information is such that a conditional is the device that helps information to flow from the antecedent to the consequent.
Gist of Idea
In relevance logic, conditionals help information to flow from antecedent to consequent
Source
Jennifer Fisher (On the Philosophy of Logic [2008], 08.III)
Book Reference
Fisher,Jennifer: 'On the Philosophy of Logic' [Thomson Wadsworth 2008], p.117
A Reaction
Hm. 'If you are going out, you'll need an umbrella'. This passes on information about 'out', but also brings in new information. 'If you are going out, I'm leaving you'. What flows is an interpretation of the antecedent. Tricky.