Although every writer lets some of who he is show up in his writing, my concern is not to let readers know me. Instead, I would hope they consider each thought, opinion, or collection of them I present individually; and decide for himself whether they seem to make sense or whether they are worthy of keeping. Also, I often hope to give the reader a little "emotional ride" as part of the time he spends reading something I've written. Sometimes I write to share information. The point is, I write for what I hope to offer the reader - not necessarily to let the reader know me any more than any piece of writing already shares. When it comes to any one piece of writing, I think what I've just described is primarily what takes place.
On the other hand, if one reader were to read many, many, things I've written he would get a pretty good idea of the kind of person I am, I suppose. Sometimes I imagine great-grandchildren I'll one day have, reading what I've written long after I'm gone. I'd like to think if they read enough of what I've written it will help them know not just me, but their history, a little better.
Some writers do, I guess, write so that others will know them better. I like to imagine writing and somehow managing to help readers know themselves, other people in general, and life a little better. :)