Will and
Shall have an immensly complicated history.
I shall explain. In British English, the difference is thus:
First person sing. and plural:
I shall, we shall, express a simple future.
I shall have to wear my old coat
This is especially true in questions.
I will and
we will express determination or insistence.
Second and third persons sing. and plural:
Exactly the opposite.
Classic example:
"
I will follow you to the ends of the Earth", said Susan passionately. "
It will not be necessary" said George. "I am only going down into the cellar.
I shall spend the next half-hour or so there."
Quote:
Originally Posted by irmamar
What do you think about: shall we go out for dinner?
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I agree with pjt: Far more general would be
Shall we go out to eat somewhere?