Derrida's name for his method of reading, when it tackles the long conspiracy which Derrida sees in Western thought, is deconstruction. He doesn't deconstruct his texts, he asks them to help him in the deconstruction of the philosophy in which they are implicated.

Deconstruction has one or two rather lurid strategies … but its principal feature, as Derrida practices it, is a patient and intelligent suspicion, which falls less on the meanings and definitions of words than on their associations and affiliations, notably their complicity in the vast metaphysical plot running from Plato to Hegel, or, taking an even wider arc, from the pre-Socratics to Heidegger. The plot is a doctrine of presence, a faith holding that immediacy is value and indirection is evil, and Derrida uncovers it not only in all the predictable places (notions of an immanent God, self-consciousness as the guarantee of identity) but even in...