Is there a proper term and/or symbol for an "agnostic" conclusion? My question stems from the material conditional: $p \rightarrow q\\\p\\\\\therefore\space q$ However, if $\bar p$ then the conditional is silent. I would like a way to represent this fact using, if possible, accepted symbols and terminology. While I don't like neologisms, I have informally been referring to this as an "agnostic" conclusion (I know, oxymoron) and using $\bar\therefore$ so that in the above syllogism we would have: $p \rightarrow q\\\ \bar p\\\ \bar\therefore\space q$

You can find many such symbols and conceptual variants of this sort of thing in Priest's _An Introduction to Non-Classical Logic: From If to Is_.