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“Will I live?”
Language
Act 1,
Scene 2
Lines 190-192

An explanation of Petruchio's rhetorical question, "Will I live?" in Act 1, Scene 2 of myShakespeare's The Taming of the Shrew

Gremio

You shall have me assisting you in all.
But will you woo this wildcat?

Petruchio

Will I live?    

In answer to Gremio’s question whether he’s going to woo Katherina, Petruchio’s response, “Will I live”, is rhetorical. He means something like “As certain as I’m alive I’m going to woo her!”