A word which, like whom, has come to be thought of as overly formal and
stuffy in American speech. In current use, it indicates a very strong intention or will to do something.
Traditionally, shall is used as an auxilliary to form the future tense for the first person: ("I" and "we")
I shall go
you will go
he/she/it will go
we shall go
they will go
Negative: shall not, contracted as shan't.