all the same

adverb

In spite of a preceding event or consideration: however, nevertheless, nonetheless, still, yet. Informal still and all. Idioms: be that as it may. See affirm/deny/argue.

1.  Also, all one. Equally acceptable, making no difference. For example, If it's all the same to you I'd prefer the blue car, or Hot or cold, it's all one to me. [Late 1700s]
2.  Also, just the same. Nevertheless, still. For example, John wants to stay another week, but I'm going home all the same, or Even if you vote against it, this measure will pass just the same. [c. 1800]

The adverb has one meaning:

Meaning #1: despite anything to the contrary (usually following a concession)
  Synonyms: however, nevertheless, withal, still, yet, even so, nonetheless, notwithstanding