How do deconstructive arguments work?

Deconstructive arguments work by demonstrating that a position's premises yield contradictory conclusions when entailments are carefully considered. Such arguments are useful with respect to doctrinal issues because they sidestep 'inadequacy of cognitive processes' or 'irrelevance of evidence' objections. Provide a 'doctrinaire example'.

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...t refuse to defend their mutual compatibility. By refusing to debate, doctrinal apologists hope to avoid intellectual tricks and logic chopping; as well as be insulated against, for example, cosmological evidence or evolutionary findings. However, deconstructive challenges engage doctrines at a deep level. No apologist can deny that institutions need to be clear about prescriptions and proscriptions. The sentences whereby tenets are communicated cannot suffer pervasive incoherence.

The deconstructive strategy is to test whether a belief's premises have incompatible implications. For example, Christian apologists cite the inscrutability of God's plan; and observe that human beings often accept mysteries: e.g., the Trinity; the Immaculate Conception, the Transubstantiation of bread and wine, etc. Such rejoinders defend the intelligibility of religious postures ex post facto. They leave skeptics with the impossible task of proving a negative - i.e., that God did ...