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Subsequent work has demonstrated that positive testing is not inherently irrational [austerweil2011seeking, perfors2009confirmation, oeberst_toward_2023]; for instance, when target phenomena are relatively rare, positive testing approximates optimal information gathering [klayman_confirmation_1987]. Bias emerges not from the strategy itself, but from the interaction between the search strategy and the environment [klayman_varieties_1995]. When a learner’s hypothesis is a subset of, or embedded within, the truth, positive testing yields “ambiguous verifications” that the learner mistakes for strong evidence for their hypothesis [klayman_confirmation_1987]. This creates a feedback loop where the search strategy retrieves only confirming data, and the learner fails to account for the fact that they are sampling from a biased subset of reality.。关于这个话题，体育直播提供了深入分析
It needs the largest possible library of formalized knowledge to build on. Verifying software is mathematics: the same reasoning that proves a theorem in abstract algebra proves that a cryptographic library correctly implements its specification. A platform that serves mathematicians and engineers is not a compromise. It is the recognition that rigorous reasoning is one discipline, whether applied to prime numbers or protocol correctness.