Talk nerdy to him.
If someone told us they were experiencing a "Buridan's Donkey" dilemma, we, admittedly, wouldn't know how to respond.
Thankfully, for Sheldon, Amy speaks his language. In "The Veracity Elasticity" (Episode 7, Season 10), when Sheldon pondered whether he wanted to continue the cohabitation experiment or to move back in with Penny and Leonard, his girlfriend didn't judge; instead, Amy joined his philosophical discussion and challenged his perspective.
Intrigued and impressed by her knowledge, Sheldon followed his cardigan-wearing cutie back inside for some intellectual stimulation.