Jude Arnout Durieux

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.

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 grace for the godly, the prospering of the godless, original sin, human responsibility, trans-world depravity, irresistible grace, and Arminian human choice. Besides that, the model also features an open future, fully grounded tensed facts, and bivalence, and allows for a kind of universalism and a pervasive principle of sufficient reason. The model is not intended to be realistic, but its possibility argues for the possibility that a realistic model containing such compossibles could exist – and even be actual.