What would be the fault of trying to show the limits of logic without using logic?
— Shmuel
How would you go about that? — Wayfarer
I was reading a text book on Buddhist logic the other day, which pointed out that while Buddhism is explicit about the fact that Nirvāṇa is beyond ‘mere logic’, Buddhist logicians are nevertheless quite scrupulous in their use of logic [as indeed was the Buddha]. Indeed Nāgārjuna’s technique was to use logic to show the limits of logic [via a technique called the ‘tetralemma’.] So they don’t hold that logic is all-knowing, but at the same time, they use logical argument.