size_t is returned by various libraries to indicate that the size of that container is non-zero. You use it when you get once back :0
However, in the your example above looping on a size_t is a potential bug. Consider the following:
for (size_t i = thing.size(); i >= 0; --i) {
// this will never terminate because size_t is a typedef for
// unsigned int which can not be negative by definition
// therefore i will always be >= 0
printf("the never ending story. la la la la");
}
the use of unsigned integers has the potential to create these types of subtle issues. Therefore imho I prefer to use size_t only when I interact with containers/types that require it.