"Will" vs. "going to" vs. Present Continious

Question

Possible Duplicate:
“The train will leave” vs. “is going to leave” vs. “leaves” vs. “is leaving”

Here are three sentences:

David is going to play football next week
David is playing football next week
David will play football next week

In fact, I don't think that there is a difference between them. Am I right?

Answer 1

There is no denotative difference between them. Their only difference in appropriateness to a particular situation derives from tone and coherence with the audience's habits.

Answer 2

They are all used to describe a future event in different contexts. The choice between them depends on what has gone on previously in the conversation.

Answer 3

To add to the unanimity, yes, they're all correct; and yes, they all mean the same thing.

Not only that, but there are any number of other ways to express a future event:

• David plays football next week.
• David will be playing football next week.
• David is going to be playing football next week.
• David is to play football next week.
• David is scheduled to play football next week.

... etc.

(Thank you all, by the way, for not using the phrase "Future Tense" here.)