I can think of only a few ways that rationalilty can not inevitably exterminate all life in the cosmologically (even geologically) near future:
* We can outrun the danger: We can spread life to other planets, and to other solar systems, and to other galaxies, faster than we can spread destruction.
* Technology will not continue to develop, but will stabilize in a state in which all defensive technologies provide absolute, 100%, fail-safe protection against all offensive technologies.
* People will stop having conflicts.
* Rational agents incorporate the benefits to others into their utility functions.
* Rational agents with long lifespans will protect the future for themselves.
* Utility functions will change so that it is no longer rational for decision-makers to take tiny chances of destroying life for any amount of utility gains.
* Independent agents will cease to exist, or to be free (the Singleton scenario).
Source: Accelerating Future
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