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no point in ever cutting ties with a girl completely unless they just never answer back or tell you to cut ties,
the only problem really is if you are becomming needy for a girl, or obessing over her or how to get her, persistance can be good, neediness will most likely never help you
I like to think of super hot girls like a line up, just sit in orbit in the line up, don't be needy, just be cool, wait your turn, eventually if she is attracted to you, you will work your way up in the line up, if you remain persistant and don't do something stupid (usually something needy), eventually you will make it to the front of the line, just stay cool, invite her out from time to time, and escalate when in person
also don't really focus too hard on her or anything until you are at the front of that lineup, treat her like any other girl, just every now and then check in with her to see if you are moving forward in the line at all
if she always flakes, or doesn't answer, there is a good chance you are at the back of the line, or she doesn't consider you attractive and you are not in the line at all, don't put any effort into a girl that puts you at the back of the line, just go find girls that have you at the front (this doesn't mean completely give up on the hotties just because they are currently unavailable)
I like the way you think! Completly giving up is like saying: "I'll never be good enough for her!" Just don't make her the centre of the universe...