My epistemic beliefs
Nothingness as non-existence is, strictly speaking, inconceivable. It's impossible to make any statements about something without assuming its existence. I have written much more about this point elsewhere, and I will not duplicate the effort here.
1) The universe exists. [Axiom]
Order vs Chaos
What is order? In simple terms, the ordered is that which follows a pattern, and a pattern is that which can be logically reduced or compressed to more (perhaps arbitrarily) basic propositions. Chaos is the inverse of order, meaning the chaotic does not follow a pattern and cannot be logically reduced or compressed. Is the universe ordered or chaotic? Does the universe follow patterns or not? Can the universe be logically reduced or compressed to basic propositions? If we assume that the universe is ordered, no amount of evidence or reasoning can be used to show the necessary veracity of that claim, for bits of order can be imagined or projected upon otherwise total chaos, and any evidence for order is not necessarily evidence against chaos. That's what Hume argued, at least. In this sense, the theory that the universe is ordered fails the Popperian falsibility test, and thus is not (necessarily) a proper scientific claim. If we cannot show that the universe is ordered beyond a shadow of a doubt, can we perhaps show that it is chaotic in some way? To do that we'd need to provide an instance of chaos with either logical reasoning or physical evidence. In the case of logical reasoning, it's highly problematic if not outright impossible to show something as being chaotic. How can you prove that something doesn't follow a pattern and can't be logically reduced? More importantly, how can you logically construct an object that follows no pattern? It seems that if you can use logic to construct an object, then it must necessarily follow a pattern and must therefore be ordered. Since it's seemingly impossible to use logic to construct something chaotic, the implication is that chaos must be illogical. But even though we can't provide an instance of chaos with reasoning, perhaps we can through physical evidence. Many people point to radiation as a sign of the fundamental existence of chaos. But our understanding of physics is incomplete, and it may just be that we haven't found the proper way to predict when a radioactive particle will decay. No amount of physical evidence could prove that the universe is chaotic and doesn't have some sort of underlying order. So as with the case of assuming order, we find that the theory the universe is chaotic fails the falsibility test, and is thus not a proper scientific claim. But the universe must be one way or the other. It can't both not be ordered and not be chaotic. Intuitively, the universe definitely seems to be ordered, and rationally we can't even produce an instance of chaos, thus it's safe to assume that the universe is in fact ordered even if proving that claim is problematic. (Pragmatically, it's useful to claim that the universe is both ordered and chaotic depending on the realm of inquiry, but by definition the universe as a whole could only logically be one way or the other).
2) The universe is ordered. [Axiom]
The Finite vs the Infinite
The finite is relatively easy to describe: it is that which is limited or bounded. The infinite is the inverse of the finite, meaning it is that which is without limit or boundary. In practical application for every-day use, this is a very easy definition to understand and apply. For instance, each unit of time is finite, but time itself is infinite (or so it seems). But philosophically we must ask what it could possibly mean to have or not have a limit. A limit is something that constrains or restricts an object or set. In this way, a limit explicitly defines characteristics of an object or set. You could say that to place a limit on an object is to narrow and refine its definition. For instance, when I say "Thomas John Reasoner" I'm referring to a very limited set of people, namely me (and possibly other accidents of history). If I merely say "Thomas", I'm referring to a much less limited set of people, the people named Thomas, but that set is still finite. I could go on and remove more and more limits to expand the set I'm referring to until I eventually refer to (nearly?) the entire universe. But what about something that is absolutely unlimited and infinite? Based on my current argument, such a thing would be undefined, since limits are needed to explicitly define something, and any statements or propositions about such a thing would also be undefined and meaningless. If no meaningful statements can be made about an infinite thing, can the thing even be conceived of? My answer is no. At this point, a clear objection can be made that modern mathematics is completely dependent on the existence and definition of the infinite, and an example of the set of all numbers could be given as an instance of the infinite. But that objection conflates two subtly different notions of the infinite. In practice, mathematical calculations using "the infinite" as an operand somewhere are done in finite time. The concept of infinity in mathematics is used like a finite entity: it has a definition and is itself limited by that definition. The example of the infinite set of numbers is a red herring, because in practice infinite sets of numbers can be and are described by finite algorithms, and thus are not truly "without limit". One last objection can be raised at this point that the set itself has an unlimited number of numbers in it, and is thus infinite. But how can the assertion of that objection be known? Can we explicitly enumerate all of the numbers in an infinite set even in theory? Of course not, because then it wouldn't be "infinite", in the sense framed by the objection. If we can't enumerate the entire set of elements, then how can we even conceive of it? Certainly we do use infinite sets in mathematics, but only in so much as we use the algorithms that imply them, such as the recursive algorithm that takes the previous number and adds 1 to it, which implies an infinite set of natural numbers. We do not and can not use the infinite set in itself for any calculations. Every algorithm used in mathematics is finite, and though they may imply infinite sets, they cannot enumerate them in finite time, and thus the idea of the infinite as absolutely without limit cannot be conceived of, even theoretically, unless to equate it with the undefined.
3) The universe is finite. [Axiom]
Time and States
Since the universe is finite, there must necessarily be a finite (yet extremely vast) number of states the universe could possibly be in. Each state can be considered to be a single, smallest unit of time, thus implying that time is finite as well. Since time is finite, it must either have a beginning and ending or be periodic and cyclic. If the universe has a beginning and ending, that implies that it began from non-existence and will end in non-existence. But we know from the first axiom that non-existence is inconceivable, thus the universe could not have a beginning and ending, and must therefore be periodic and cyclic.
4) The universe is periodic and cyclic. [From 1 and 3]
More to follow...
