In one of my college courses I learned about the death of Socrates, who was not a particularly religious man. Before his execution, he explained that he had no fear of death, because what death is is not known. The unknown should not be feared, simply because it is not known whether it is good, or bad. Or something like ...

Well, supposing his logic to be satisfactory, there's just one problem ... modern science has told us exactly what death is. Oblivion. You, as a thinking entity, cease to exist.

I had the thought this night, what if I were on my death bed, with nothing but regrets to comfort me? If I were an atheist, how would I cope with that? My memory immediately recalled the story of Socrates, and came to the conclusion above. How would an atheist, like Socrates, deal with death knowing now that death means oblivion?

TL;DR: How do you think an atheist should cope with death, if one regrets how one lived his or her life?

Just think of it as sleeping without dreaming. Its a big void. You don't exist until you wake up in the morning.

So basically, once you are dead, its like taking an eternal nap. So don't be afraid, all your worries will disappear once you bite the dust.

Sorry, that is kind of stupid to say. Let me reword it a bit. Save your fear for just a few minutes before you die. Then be afraid as much as you want. Piss/shit your pants, cry and scream... And then, when those agonizing few minutes are gone, you are done.

There was a passage in "The Sea Wolf" by Jack London where Larsen chokes Hump and mocks his efforts to free himself, not so sure at the moment that his soul was truly immortal.

Socrates wasn't very religious, but he seemed to be deeply spiritual.

You imply Socrates was an aethist, which would seem to be untrue. He just didn't believe in the model of spiritual hierarchy as promulgated by the Athenian system/elite. Though to be honest we know very little of what Socrates actually believed and said, a bit like the Buddha, and Jesus, as all the records come from their disciples, or people who were born after they died.

Though of more interest, recently I found out that supposedly Socrates was executed more for his dialogues against Athenian democracy than corrupting the young and knocking the local religious system.

As best I can. Why worry? It's going to happen sooner or later and there ain't a lick I can do about it. It's not like it's something that comes up a lot, and frankly I don't understand why theists even feel the need to ask this question in the first place. Why is this such an engrossing question? Why is it even a problem that needs addressing?

Regrets are for the living. If you regret something, fix it or get over it. Dying ain't gonna change anything, and you're not going to exist after that to care about it.

My plan is to create a program which simulates me. Then at the moment I die I'll transfer my complete memory and behavior into it. So then only my body will be gone but I'll still be alive... as long as nobody cancels my server account

Um... I think it does. The question is about who we are. And what we are. As I see it, modern science sees man as an animal living and dying. And everything man feels, thinks, believes, whatever, is just processes in his living brain. Modern science knows very well what happens with a brain when it dies. It dies.

But if I see myself as a spiritual entity trapped in a material body, science no longer can explain my existence. Only the body part of it. The atheistic/materialistic/worldly/whatever explanation of human existence doesn't actually fail. It's just not enough for spiritual/religious/believing/whatever people. I've heard many atheists saying things like they don't care what will happen with their bodies after they die. My dad is buried in a graveyard next to an old church, same church where I got married. He has a gravestone with a cross. I picture myself being buried in a similar grave, though the idea of my ashes being spread in the forest also appeals to me. It all means something to me. Denying it would be like denying love. Like saying love doesn't exist, it's just nature's way of making the genes reproduce themselves. Science has proven the latter true.

When you die, your brain ceases to function in any meaningful fashion. That neither proves or disproves if we have a soul.

Well when you die, you will find out for sure, but I am not going to murder you so you can find out.

Something got me thinking... I once watched Stargate and when they explained how the whole thing works, this is what I thought:

Lets say humans invent teleportation devices once in the future. These would work by taking you apart at a molecular level and putting you back again on the other side.

Now, it would put you back so you would be an exact copy of yourself - memories, experiences, behavior, etc. But would that person on the other side really be you? Or would you die at the entry device?

Would they destroy you as you went in? (Unless it was part of the reading process) or would they make sure there was not a stuff up at the other end, before destroying your old copy?

If they waited for confirmation, then for that time you would exist twice.

Or is it just creating a hard link to a file, before the original hard link is removed?

Edit:
Beaten

How should anyone cope with tomorrow? Where we are tomorrow is not a promise, anything can happen between now and then, even death. But yet, tomorrow is coming nonetheless.