How do I stop caring about the fact that I will stop existing after I die because I never want to die?

Personally, the (somewhat) combination of two philosophy helped me to put some perspective and deconstruct this fear of death and the idea of self.

The first, and pretty standard one, consist of the Epicurean’s view point of it. He put the emphasis on the idea that death is the cessation of sensation, and that good and evil only make sense in terms of sensation, therefor death is neither good or evil.

This is kind of incomplete, but I encourage you too dig further intoo those thoughts. Anyway this start to become really handy only with the next philosophy, at least in my sens.

At a certain point in my life I got immersed with passion in Spinoza’s philosophy. Once you get a pretty good grasp at his concept of Substance, free-will and necessity, the common idea that you have of Self begin to really shredded into pieces.

In general, I couldn't incited people in off to engage themselves in Spinoza’s thoughts.

Adding our progress in cognitive sciences, about our conception of consciousness, and you’re left with very few reasons to fear death.
You could read this paper, though I don’t really know what it’s worth at an academical point of view, it’s still worth a read IMO : Chasing the Rainbow: The Non-conscious Nature of Being

Sorry for my far from perfect English (hope it was kind of understandable), and the lack of resource I provided too you. The reasons for that it’s that I don’t really know where to find such things in English, and find an answer to such a question can only be a personal and prolonged thought process anyway.

Hope all of this can help, one day or another.

/r/askphilosophy Thread