Origin: bef. 900; ME, OE, pres. ind. sing. 1st, 3rd person of
cunnan to know, know how; c. G, ON, Goth
kann; see ken, know 
Usage note:Can1 and
may1 are frequently but not always interchangeable in senses indicating possibility:
A power failure can (or
may)
occur at any time. Despite the insistence by some, that
can means only “to be able” and
may means “to be permitted,” both are regularly used in seeking or granting permission:
Can (or
May)
I borrow your tape recorder? You can (or
may)
use it tomorrow. Sentences using
can occur chiefly in spoken English.
May in this sense occurs more frequently in formal contexts:
May I address the court, Your Honor? In negative constructions,
can't or
cannot is more common than
may not:
You can't have it today. I need it myself. The contraction
mayn't is rare.
Can but and
cannot but are formal and now somewhat old-fashioned expressions suggesting that there is no possible alternative to doing something.
Can but is equivalent to
can only:
We can but do our best. Cannot but is the equivalent of
cannot help but:
We cannot but protest against these injustices. See also cannot, help.