This is actually a quote used at the start of Chapter 9 of Between A Rock And A Hard Place by Aron Ralston (He has a different quote at the beginning of each chapter).
I believed in belief, for its own shining sake. To believe in the face of utter hopelessness, every article of evidence to the contrary, to ignore apparent catastrophe - what other choice was there?... We are so much stronger than we imagine, and belief is one of the most valiant and long-lived human characteristics. To believe, when all along we humans know that nothing can cure the briefness of this life, that there is no remedy for our basic mortality, that is a form of bravery. To continue believing in yourself... believing in whatever I chose to believe in, that was the most important thing..."
- Lance Armstrong, It's Not About The Bike.
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