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get bitcoins annomously
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meeting with somebody in person
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You seem to be using a very odd definition of "anonymous".
have a friend go get bitcoins via moneygram and deposit them through bitinstant and then exchange with him through blockchain? That way my identity would remain unknown?
It would still be known to your friend.
Anonymity isn't a binary thing. It isn't a matter of "being anonymous" or "not being anonymous". There are various levels of anonymity that can be accomplished depending on how important that anonymity is to you and how much effort you are willing to put into acquiring it.
To be completely 100% anonymous, you'd have to arrange the exchange via a secure anonymous channel such as TORchat, and then you'd have to make the exchange via dead-drop in a randomly chosen location somewhere in the world (after ensuring that the location was not being monitored).
If you are just trying to avoid having your bank account linked to your purchase of bitcoins, then either of the methods you've described should work. Unfortunately, there are a large number of reports of people having issues acquiring bitcoins through BitInstant, so you'll have to weigh your own risk tolerance on that one.