i have too much time on my hand, and i was wondering:
does the verb "can" mean probability, or surety?
when someone says, "this can heavily impact you", do they mean, this has a non-zero, and maybe even a highly-probable chance to impact you, or that, it for sure will impact you?
a few more examples:
"you can leave" - shows permission
"water can freeze" - shows ability
"it can happen" - shows possibility
the last one is interesting, because it's more like saying, "for all i know, it happens". it is more of a testament to the speaker's uncertainty, rather than the world's structure.
i guess the more i think about this, i realize my question could be incorrect.
"can" could be more about the logical status of a proposition (possible vs impossible). probability is a quantification layered on top of possibility.
you can't have probability without possibility (which "can" denotes), but possibility doesn't give you probability (it doesn't say where on the range of probability it sits: 0 < P <= 1).