Spock has a starship; I think that counts as more gear.

It isn't Spock's ship, it's Kirk's. Spock just rides along, like Robin.

He has a phaser; Batman won't even use a gun. Plus, he's got a tricorder that can detect somebody's location from miles away. No way in Hell Batman wins.

How often has Batman fought someone with a gun? Heck, I'm pretty sure he's fought people with frickin' lasers! In any case you're focusing too much on gear. For both of them their greatest asset is their mind. Spock is definitely ahead of Batman in that regard.

Although do keep in mind that Spock is an explorer, Batman is a crime fighter.

Plus Batman has defeated every superhero he's ever fought against including Superman.

Thank you for giving us all examples of jasonkester's point. I applaud your direct didactic approach. But I fear we are hitting the point of diminishing returns now. We're done here, right?

Also, Vulcans are far stronger than humans, so Spock wins in hand-to-hand combat too.

Batman regularly beats much-stronger opponents. That shouldn't be an issue. Strength only matters if you actually manage to punch or grab Batman. And you're not gonna manage to punch or grab Batman.

Spock only has one decent fighting move, and it targets the back of the neck. Batman's neck is so heavily armoured that he can't even turn his head.

Batman's ability to defeat stronger opponents is predicated upon his superior logical faculties, as we've already established. He's the Sherlock Holmes of Kickin' Ass. That said, he cannot hope to outmatch Spock in that regard, and, even should hand-to-hand combat be a factor, he would still lose on account of the Vulcan's clear advantages in strength and reflex.

No, Sherlock Holmes is the Sherlock Holmes of kicking arse, as demonstrated in the recent movie. Holmes' superior deductive abilities enable him to quickly detect an enemy's weaknesses and capitalise upon them; this serves him well against common street thugs.

When milliseconds matter, though, training and experience beat logic. And Batman has years of martial arts training followed by quite a few more years of practical ass-kicking experience in the streets of Gotham. This is why Batman could whup Sherlock Holmes and Mr Spock. (Sequentially, at least. Put them together and they'd outwit him with some brilliant plan.)