My guess always was that Bitcoin is anonymous as long as there wont be a link of your address to your person. As a distributed (open) ledger, all transactions are visible for everyone, so whatever one spends or receives can be seen by everyone. But if you for example always do your business from an internet cafe or other public places, nobody can link your entry in the ledger to your person. What I was always wondering about was how those mixing services work? Do they just send the transaction that you want to send to eg 10000 different addresses before sending it to the destination address? So it would be a huge amount of work to check all the addresses? I cant imagine how else they could make a transaction non trackable on Bitcoins blockchain. But this would also not be doable because of the transaction cost and speed. Maybe someone can explain it to me?