Permutation City by Greg Egan is a triumph of hard scifi! One of the best-ever explorations of mind-uploading, it also brings a mind-bending idea about randomness, the nature of the universe, and consciousness that will stay with you forever.
Paul Durham has begun experimenting on his own mind. He uploaded a copy of his neural patterns - everything that makes him who he is - into a computer simulation. The more he experiments, the more the lines between the real person and the virtual person begin to blur. What he discovers there, out at the edge of consciousness and the pattern that defines him, give him an impossible idea. A permutation city, where immortality might be possible.
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