http://www.thefreedictionary.com/given
Definitionen 3, 4 und 7.

"given (ˈɡɪvən)
vb
1. the past participle of give
adj
2. (foll by: to) tending (to); inclined or addicted (to)
3. specific or previously stated
4. assumed as a premise
5. (Mathematics) maths known or determined independently: a given volume.
6. (Law) (on official documents) issued or executed, as on a stated date
n
7. an assumed fact
8. (Philosophy) philosophy the supposed raw data of experience. See also sense datum
Collins English Dictionary – Complete and Unabridged © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003"