  The PC is foundational in all our thinking. At its most basic, this principle seems to be, for Du Châtelet, the principle that: for any proposition P, if P implies a contradiction, then P is false (5 above): ‘For, if one once granted that something may exist and not exist at the same time, there would no longer be any truth…’ (IP §4). According to Du Châtelet once this principle as stated is acknowledged, one can divide claims into the impossible and the possible: ‘It follows from this [principle] that the impossible is that which implies contradiction, and the possible does not imply it at all’ (IP §5). The possibles include the possibilities from among which God created the world.