Does the Largest Natural Number Exist?——A new method in infinity theory to eliminate the paradox of transfinite numbers(2)

Two basic mathematic problems are discussed in this article,and clear conclusions are drawn accordingly as to Is the largest natural number existed? The answer is the largest natural number does not existed in the real world,but to research the infinite sets,it is necessary to assume its existence in ideality.Is any natural number in the set of natural number finite? The answer is: not any natural number in the set of natural number is finite.This paper also uses a simple method to exclude the Paradox of transfinite numbers,declares them as false paradoxes,and points out that the so-called contradiction in the paradoxes of the largest ordinal and the largest cardinal is caused by the faulty reasoning,which confuses the ideality and reality of the infinity existence,as well as the process and finalization of the infinity construction.Some basic innovations are also introduced in the new method of infinity research.