This girl recently got out of a relationship, and I am pretty sure she is the one that got dumped... Is it worth getting involved with a girl like that? Already liking this girl and I'm not trying to get attached so I'm keeping my distance for now...

Hey mate test the waters before you make a move. You know 1st hand what a heart break feels like. The longer her relationship the more time she'll likely need to get over it. If she's upset give her sometime, but put your foot in the door so to speak. Look up badboy lifestyle on youtube he has the perfect explanation of the time frame for seducing girls after a breakup, but basically don't move too fast don't move to slow be there, but not as a therapist.
Hope that helps good luck!

Go for her, and as gunfighter said, test the waters first.
You never know, she might use you as a rebound, so be careful.
However, you might also get laid because she's just letting all the breakup bullshit out and wants to move on, so that's an advantage.

You'll never know unless you try.

Thanks for the replies guys...

Just a little more info:
- I met her on a dating site a few weeks ago
- Asked her out once already, she agreed but said sometime next week cause she had to check her schedule since she is busy with work. so I told her get back to me
- She got back to me 2 weeks later and says her phone broke and she msg'd me on the dating site 2 weeks later (couple days ago) explaining all that and asked me to text her so she has my #
- She seems really genuine and honest... She was upfront about just getting out of a relationship and I believe her about the phone cause I noticed she never used SPAM since

Anyways, we are back to texting and she seems really interested... So I'll ask her out again; I'm just a little worried because this is the 3rd time in a row I'm dealing with a girl fresh out of a relationship...

I got other girls I'm talking to too but this one stands out the most... My main problem is I already feel like I can REALLY like this chick and I don't want to get emotionally attached, which I feel is possible since I actually look forward to her next text, and with the other girls I don't give a fuck... I know this is a crazy question but how do I remove that "emotional attachment" and not give a fuck like I do with the other girls?!?

that's a tough question, just by the very nature of what you're trying to do, some emotional attachment is inevitable, unless you are a sociopath.
i think the more girls you have in your life, the more "options", the less value you will put into any one relationship, but it will still always be there to some extent. it's a risk you have to take, i don't think you can get involved with a girl and literally feel nothing, unless maybe you had like 20 other girlfriends at the same time, or like i said, you're a sociopath.

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So this girl basically said she is dating another dude and went out with him couple times lol... Guess thats the nature of the game...

We are planning to meet up sometime next week and I also got a date with another chick this weekend, then two other girls the week after... This is the first time I am dating more than one girl at a time so lets see how this goes with the "abundance" mentality... Just sucks that this girl is the one that stands out the most :/