Final answer:
Lincoln's Gettysburg Address employs anaphora, the repetition of a word or phrase at the beginning of successive clauses, enhancing the speech's emotional and rhetorical power.
Step-by-step explanation:
The stylistic device being used in the given sentence from paragraph five of the Gettysburg Address is anaphora. Anaphora is a rhetorical device in which a word or group of words is repeated at the beginning of two or more successive clauses or sentences. In Lincoln's speech, we see the repetition of "that we here..." which emphasizes the resolve and the actions that must be taken in honor of those who have died. It is not hyperbole, paradox, or oxymoron, which are stylistic devices used for exaggeration, contradictory statements, or contradictory terms being used in conjunction, respectively. The repetition serves to reinforce Lincoln's commitment to the ideals of freedom and unity among the people.