Three objections are pressed hardest. Fine-tuning: the physical constants sit in the narrow range life requires, which theists argue points to design (Collins, Swinburne); atheists answer with the multiverse, observer selection, and the reply that a brute universe is still simpler than a brute God (Oppy). Moral grounding: objective moral duties are said to need a lawgiver (Craig); Wielenberg answers that basic moral truths can stand on their own like mathematics — while Mackie's camp denies the objectivity instead. Plantinga's evolutionary argument: if minds evolved for survival rather than truth, naturalists cannot trust their own reasoning; naturalists reply that reliably tracking truth is precisely what made reasoning useful for survival.
SOURCES: R. Collins, 'The Teleological Argument,' in The Blackwell Companion to Natural Theology; R. Swinburne, The Existence of God; W. L. Craig, Reasonable Faith; A. Plantinga, Where the Conflict Really Lies; E. Wielenberg, Value and Virtue in a Godless Universe; G. Oppy, Arguing about Gods