[QUOTE=II Gyan II]
How are these limits derived?
Limits are embodied in the metalogical definitions employed to create the relevant logic - such as the Law of Non-Contradiction in Aristotle and the Law of the Excluded Middle. As you point out there are paraconsistent logics that have more expansive limits than the high orthodoxy of Aristotleon logic – but I haven’t seen them employed here. I’ve been a proponent of non-trivial dialetheism since my college days nearly thirty years ago, albeit on an intuitional basis rather than a formal propositional calculus. I simply don’t have the training to go there on that basis - so pardon my lack of a formal defense.
Correct, I am simply stating my belief that it is a valid assertion. Feel free to prove me incorrect. I will do my best to defend it rhetorically – it should be interesting and probably informative for me.
Also (mostly) correct. I propose that if one supposes God necessarily precedes Creation, then the Law of the Excluded Middle (LEM) cannot apply to God since Creation is the event in which the properties of identity (as we express it in logics) obtain. Prior to Creation the properties of A and not A are meaningless. Also assuming that God is (remains) atemporal, while gaining identity as Creator (the Ground of Being), God remains undefined in other ways, thus A and not A, existant and non-existant both, existant by virtue of contrast to Creation, but incomparably Uncreate in every other way. As Christian theology would have it, Creation was an ex nihilo event (out of nothing - using none of God’s substance ,so to speak, as material for the event). Hindu theologies differ by having every particle as divinely instilled substance (immanence). Existence itself being derivative upon God’s act, cannot account for God’s own intrinsic nature. We do not (and may not ever) have a definitive concept for God’s state of Being except that it transcends what we understand as existence. Or so it seems to me.
Bravo for the introduction of paraconsistent logics, but there are limits to every logic in that they all have rules or boundaries else they wouldn’t be able to function in a meaningful way. I grant that the limits vary between logics, but even Occam’s Razor has a limit. As Einstein remarked, “Everything should be as simple as possible, but not simpler.” I am willing to work with you in that context.
Regards,
Steve