Never admit to your players that they've managed to convince you of something through logical argument. That way lies madness.

Transcript

GM: Yoda arrives above the arena in his ship.
Yoda: I brought all the clones from Kamino!
GM: The... what?
Padmé: Awesome!
GM: Actually, Yoda, as you discovered on Kamino, Jango built in a failsafe to keep control of his army.
GM: If he died, millions of clones would suddenly hear a lone voice cry out in terror... and be silenced.
GM: The life force of their midi-chlorians would disappear.
R2-D2: Would that actually kill them?
GM: Hmmm. Interesting. I'll make a roll. But if this fails, they all die. They're clones, after all. <roll>
GM: All right, they live. But they're very loyal to Jango. Why would they have gone with Yoda?
Yoda: I told them, "Come with me, clone army! Fun it will be!"
Yoda: Look, I'll roll on Force Suggestion. 14.
GM: Good... But there are millions of them.
Yoda: They're clones, right?
Obi-Wan: And they've lost their connection to the Force. So they're all probably highly susceptible.
GM: Well I'm not.
GM: Still... Okay, it works.
Yoda: Yay!
Obi-Wan: But you're not susceptible to suggestion.
GM: I just wanted to establish that first.