"Consistency" understood syntactically is a very fragile and a very language dependent relation. Consistency understood as "truth in a possible model" sounds pretty "modal" already. "Consistency" is a modality.
A stage theorist and a worm theorist walk into a bar. "What can I get you?" asks the bartender. The stage theorist says: "Nothing for me, but someone else who looks exactly like me will have a dry martini; and nothing for the worm guy - he hasn't finished his previous drink yet"
