[registrar]

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I actually do think it's a little more complicated than "I have a set; I totally call."

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Then you're wrong.
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FWIW, I literally said "I just know I'm beat." Then, rather than thinking it through, I said "[censored] it" w/ an I'm-not-folding-a-set mentality and pushed the call button rather than reason through the hand. Vomit ensued.

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What are you afraid of? KK? JJ? Did AQ really try to peel off a gutterball? And why would any of these hands bet twice the pot?

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I wouldn't be amazed to see any of the hands that beat me turned over, depending on what villain's read of me might be. I'd be quite surprised to see him turn over AQ after I'd checked turn and he'd pushed. But the reason for calling is just because I think I'm ahead more times than I'm behind, unless I have a specific read.

I check the turn because I want villain to do just this and then I call. I don't bet the turn because I don't like calling a reraise here. I bet the flop because I bet flops when I've opened with a strong hand most of the time, because there isn't an ace out, and because he's probably going to raise me out if I'm already beaten, unless I'm very far behind.

I agree that there aren't many feasible hands that I'm ahead of come the turn but the fact that he pushes when I check the turn indicates to me that, given the pot odds, the redraws and the chance that he is semi-bluffing makes a call mandatory. Granted, he could play KK like this, or JJ and possibly AQ, but he also can play KJ, KQ or even 99 the same way.

You surely can't fold here?