The main style of Vajra-Praj-naparamita-Sutra (金剛般若波羅密經 or 金剛經) can be written as "When A is Given,it is not A at all. It is just A in name."
It's difficult to understand what A-in-itself really is, as well as what it really isn't. Instead of understanding the mysterious nature of this sutra linguistically,we take a mathematic approach to it by means of studying its main style logically. We try to express it as "A equals non-A with its nontrivial solution,A-in-itself." The nontrivial solution does exist and can be deduced successfully. We need not be caught in the dichotomy of A and non-a, nor need we study the Zen Koan "not a, but also not non-A". Nirvana can be achieved by reasonable inference. In general,the equation is true only when A satisfies at least one of the four Conditions of the Truth, namely:(1) It cannot be negated or affirmed; (2) It cannot be conditioned; (3) It cannot be proved within its own framework; and (4) It cannot be deduced from any known system of inference.
The solution is complete. It can be applied to a particular situation as well as a general one. Thus, solving the problems by main style of Vajra-Praj-naparaita-Sutra is possible and operative. By using the mathematic approach, the wisdom of this most important and difficult-to-understand sutra reveals itself. This is the wisdom free from all those which are paradoxical,as well as being a guide to find a reasonable yet practical way to real problem resolution.