If the inference is abductive, the argument's success depends on whether theism or alternative frameworks better explain the full range of observed evils, not merely on inductive validity.

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Inductive validity(as used in logic): How strong an argument is when it uses specific examples or observations to reach a general conclusion—the better the examples support the conclusion, the more 'valid' the induction is.
abductive inference(Peirce's revised taxonomy of inference types): A class of probable inference distinct from induction, also called hypothesis or retroductive inference by Peirce
problem of evil(Used as a basis for arguing against the existence of the God of traditional theism): The philosophical challenge of vindicating God's moral attributes (particularly omnipotence and perfect goodness) in light of the existence of evil in the world
theism(Distinguished from monotheism as a weaker claim about the number of divine beings.): The position that at least one god exists.

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