Survive
Part of speech: verb
Definition: Of a person, to continue to live; to remain alive. Of an object or concept, to continue to exist. To live longer than. To live past a life-threatening event.
Example sentence: It takes but one positive thought when given a chance to survive and thrive to overpower an entire army of negative thoughts.
Outlive
Part of speech: verb
Definition: To live longer than.
Example sentence: The London games mark the 24th anniversary of my winning two golds and setting the world record in the heptathlon. Someone is going to want it; records are made to be broken - it's only a matter of time. I hope mine will outlive me.