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  1. A valid conjunction principle for fallible knowledge.Jude Arnout Durieux - manuscript
    The multi premise closure principle states that the logical conjunction of known facts yields again a known fact. For absolute knowledge this principle holds. We show that for fallible knowledge, assuming knowing requires a minimum level of statistical certainty (whatever else it requires), and that there is a sufficient number of known facts above a given level of uncertainty, it does not hold, for simple statistical reasons. We present a modified version, the dependent conjunctive closure principle, that does hold.
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  • Thirty and some Compossibles.Jude Arnout Durieux - manuscript
    Religious world-views tend to make many seemingly contradictory claims. A well-known pair is God’s absolute goodness and the existence of intense evil. We present a simple model to show the compossibility of middle knowledge, grounded truth, libertarian free will, physical laws, deism, theism, predestination, evil, hell, a sin-free heaven, God being perfectly just, free, praiseworthy, and necessarily omni­benevolent, omni­scient, and omni­potent, this world being both replete with injustice and the best of all possible worlds, heinous suffering, no-one unjustly suffering, God’s (...)
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