Wouldn't it be weird if they WERE good at deductive reasoning? Then they'd be.....cat like.
Some dogs are able to perform a similar thing. Like when you pretend to throw a ball but don't really, they soon learn to catch on. Not all dogs mind you, but some. Terriers are good at catching on.
My doby pitty cross was really good at finding things. I'd hide them and he'd look. Course he wasn't really bright. He'd look for things simply because I told him too, not because he seen me actually hide anything. Kept him busy and out of my hair for hours on end!
He was also very protective. I'd pretend to be scared of something and he'd "attack" it. I once tried this, pointing my finger at nothing. Silly dog couldn't figure out what I was pointing at so he bit my finger! Taught me a lesson though!
(given half a chance, I will post stories about my pets, whether anybody else finds them interesting or not. See how I slid this one in?)