Dear Marc,
thanks again for your remarks and your interest in what i wrote.
You ask interesting questions and i will try to answer them from my perspective. I will start from logics as we know it.
Logics has a self-explanatory dynamics, since independent of its assumptions, if the rules of logics are obeyed, they lead to a certain result. It seems then that the starting assumption must be correct, since the derivation is also correct. The dynamics is like a circle, its starting- and endpoint can be choosen arbitrarily. So not all consistent formal explanation schemes do necessarily meet reality. The insight into this 'mechanism' is a little wonder in itself, since logics in its usual meaning is concerned with things like 'a' and / or 'not-a', or 'a and b' or 'a or b' and so on.
Ordinary logics does rest on some polarities, usually truth and falsehood. We can play with logics ingredients like with lego bricks. Some fit symmetrically together, others not. All of this is based on the interplay of polarities, leading from one pole to the other. We can't really imagine a realm of existence where one polarity is simply canceled out in the equation.
So, to shortly summarize, logics is like a system of equations and inequalities, it's the ability to differentiate. Somehow logics manages to make some statements about itself (in unison with human experience). Its main ingredient is consistency, leading to descriptions which a circle-like in the first place. Only experiments can decide whether the starting assumptions may be correct or not. Edward Moore (1952, i think) showed that there is a multitude of consistent explanation schemes for the inner workings of a black box. Regarding the reality we live in as a black box (in parts deciphered), we have a problem of identifying Kant's 'thing in itself'. But wait a minute. One 'thing in itself' does say something meaningful about iself, namely logics. It states that we cannot find synthetical a prioris easily, and it is not at all clear whether logics *itself* should be handled as such a synthetical a priori. Because only analytical a prioris can be found to necessarily meet reality. Since logics is an analytical tool, it says about itself that there are limits of our analytical perception of reality. The question now is whether logics itself is limited synthetically also. But if true, how can logics deduce this result, if it has both of these limits, the analytical and the synthetical? The answer is we must take logics as a synthetical a priori, since otherwise no analytical path makes fundamentally sense, and especially taking logics *not* as a synthetical a priori but demanding from it to give some answers about the fundamental levels of reality.
With that we arrive at the questions about God. In the same sense as logics is necessary to conclude something about itself and evaluate it, the question about God and its roots outside space and time are similar. I agree with you that metaphysical debates have the problem of talking about things that are understood differently by different participants. We now proceed further and ask whether logics (defined as a God-like eternal mechanistic structure at the foundations of every reality) is a necessary ingredient of *any* reality, caused by whatever you will (or - paradoxically, as some people belief, caused by shere *nothing*). If no, every existence would be just a lucky fluke out of shere 'madness'. So we have to presuppose logics as something very fundamental, to at all being able to think meaningfully about fundamentals. In my opinion the same is the case for the term God. If we start by *nothing*, we will get that same *nothing* in the end. So the starting assumption is crucial. You start with mathematics, in good agreement with what i said so far about logics. If we take mathematics as the fundamental, we have a solid bases to answer the questions i posed so far.
But i nonetheless would doubt that mathematics has the status of ultimate reality. I doubt it, because i see its consistency, but at the same time see the inner world of a conscious being. Here i am not anymore confronted with thoughts, but also with emotions. I do not believe that the whole range of personal emotions, all the shadows and the peaks, are 'how information feels when it is processed' (an expression termed by Max Tegmark). I think the conclusion of Tegmark is an extreme extrapolation, since we aren't able to mathematically resolve some 'simple' dynamical interactions (3-body-problem, 4-body-problem... ; 4-color problem, 5-color problem...;), not to speak of the limitations of computational time and memory to tackle other mathematical questions. If our reality *is* the mathematical structure we only think it *describes*, this mathematical structure seems to have less power than we ascribe to it. Surely, our world could be descibed as a tiny subset of all mathematical structures and this could be the reason why in our world, we can explore a multitude of mathematical structures but at the same time cannot *solve* also a multitude of mathematical structures due to the lack of computational power and memory and time. Nonetheless, the question remains how the human mind is connected to a platonic realm of mathematics, since consciousness itself *is thought of as only a consequence of OUR specific little substructure of this mathematical landscape! Here the mind-body problem strikes back in terms of a platonic realm and its infiltration of a subset of itself!!
For these reasons i prefer to set my starting- and endpoint in the term of God, since it encompasses 'naturally' the problem of consciousness, a problem that seems to me to remain unsolved in the materialistic worldview. Other problems remain, i agree. But to escape the interplay, the game of polarities, one has to skip one part of it at some point in one's line of reasoning (since otherwise even in a life after life we would ponder about these things - and higher things in the same circular way we do it now, fighting against an infinite tower of turtles, to make reality consistent, if not complete; so if life has some meaning - in a religious sense, it is only a little episode of something far greater). Logics tells me this and it astounds me that it is able to do this. But it can and this is a hint for me that the mainstream scientific worldview inclusively the mainstream view of mathematics is the wrong path. Because it is only based on polarities, on the usual kind of logics. So we must ask what kinds of logics should there be 'out' that is *not* the usual kind? Here i refer to the mentioned near-death experiences which report a realm beyond space and time, with faster and more precise thinking, with immediate insights without analysing - the latter presumable because it happens in a realm where the game of polarities is fully transcended. The interesting thing here is that there are two realms which exhibit such a behaviour. The heavenly realm and the hellish realms. Both realms are experienced as the ultimate truths - with no connections to the other polarities - in an eternal sense. I do not advocate for a middle-age world-view, i only take the reports serious and try to extract some fundamental meaning out of them. My conclusion so far is, that there was a 'time' where all souls were in the realm of God (the "polarity" of 'love, harmony and understanding'). But somehow, we decided to leave this realm, to be far apart from God. Since then it is naturally that the attributes of God do vanish, we end up with what is left in the absence of God. If i look around in the world, i see plenty of indicators how such a realm, empty of God, looks like. History shows that we do not evolve from some dumb middle-ages people to some highly moral civilizated human beings, we only put some white powder on our separation from God to heal what's missing.
Apart from these more religious and philosophical considerations, i would say that to a certain degree, we agree, and to a certain degree, i also would say that some complex, "god-like" minds are possible to exist. But i view it from a religious point of view, so conclude that without a rational basis to not only explain consciousness, but also our emotions apart from evolutionary needs, i conclude that what you term "god-like" is just the old story of the tree of awareness. For me, this is a consistent narrative, since it fits very well with what near-death experiencers tell me. I do not belief in "god-like" intelligence (AI), in the omnipower of mathematics and surely not in the omnipresence of determinism (since maths is a deterministic system; with axioms, surely, but nonetheless deterministic; the axioms can be sorted into the category of metaphysical considerations you mentioned).
The open question for me is whether God's more unknown properties include the whole landscape of maths, or whether God has created the latter due to some necessary or possible plan. You see, we agree in principle, but we don't agree on how to interpret the findings.
I also wish you a good result in the current essay contest!
Best wishes,
Stefan Weckbach