Arius and later Socinians demonstrated that orthodox Trinitarianpremises themselves can be coherently rejected, making the argument unsound via premise falsity rather than invalidity.
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Socinians(Active during Leibniz's era; represented the unorthodox-theism response to evil rather than the atheistic response)
A group of thinkers who held that evil is compatible with God's existence but incompatible with divine omniscience, concluding that God lacks knowledge of future contingent events
invalidity(describing the problem being analyzed)
When an argument or claim fails to be logically correct—the conclusion doesn't actually follow from the reasons given.
premises(as used in logic and philosophical arguments)
Starting statements or assumptions that are used to support a conclusion—like the opening claims in an argument that lead to a final point.
unsound(as used in formal logic)
An argument that fails logically—either because the reasoning steps don't follow properly, or because the starting assumptions are false.