heres an example of logic v math. sorry, but it just popped into my head.

do any of you also play limit? if so...

you have A6s in lp. you limp after several limpers. the guy behind you raises, the others call. do you? math says yes.

but what about if the guy behind you raises, and another 3bets...all the others call 2 cold. do you? math says yes.

but logic...may say no. your A6s is very likely dominated here. leaving your only REAL hope on the flush draw hitting the flop.

what if it were KQs? you are likely dominated, AND you arent even drawing towards the nuts..in all probability. again, logic...may say no.

you have to look at both sides of the situation before you make your move. if you bet/call/raise/fold solely on the math...you can make the wrong decision for the SPECIFIC hand.

that was all i was saying about the 444 v TTT hand above. yes, the math may be compelling...but logic should scream at you there is a high liklihood you are beat, too. and, make your decision when it is CHEAP...not when the pot is so huge, you have to call...after you realize you may have made a mistake.