Great thoughts there Floriferous!
Sammie, another perspective that I have of my own is that infinity does contain nothingness and it does sound like a paradox. I really agree with the teachings in the Kybalion and Hermetics (because they can be applied in this sort of scenario).
I could be completely wrong here, but here are my thoughts. The Law of Polarity (in the Kybalion) would assume Infinity and nothingness are the same essential thing with opposing polarity (like hot and cold are scales of temperature) so they are the essentially the same thing on a scale and we are witnessing the in-between states of infinity and nothingness. You can find nothingness and infinity in everything, yet they oppose one another. This is the paradox we live in.
We live in a paradox of duality which is essentially illusory by nature as duality is fundamentally untrue. It's a deception or fiction that we signed up to experience (like a video game sort of). Real Truth is that everything is one and exists and doesn't exist all at the same time. The issue is that we cannot understand this as our logical minds cannot comprehend existing and not existing at the same time. Or infinity and nothingness existing in the same place. And we will never be able to understand it logically.
Another way to look at it is that we aren't looking at the full picture. We are judging everything by our 5 senses which are setup to witness this limited view of reality. Our brains, eyes, ears, nose etc, can pick up a very narrow range of vibrations or experiences even though there is a whole world of happenings that we are "missing out on" happening right here and now. (Actually, everything is happening right now, we just have a limited view of time existing in this particular view of "reality" but that's another crazy discussion.) A simple example is radio waves, microwaves, wifi, and the many other signals we cannot see, but they exist. The sun's rays are passing right through us. But we can only see our dense little perspective.
It's like looking at a car crash from one person's point of view. This one person's perspective would think that the driver was an idiot and drove into a pole, a dog's perspective might be that this crazy moving animal just killed itself and injured the person inside it, a spirit's perspective may see that the person, without realizing, shifted out of their reality and AP'ed long enough to lose control of the vehicle and crashed, and yet a higher consciousness may have seen this car crash as an essential part of this person's experience as an integral part of the experience they specifically chose before "coming here".
So as you can see in this example above there are different levels of perspective depending on the level of equipment (faculties, consciousness, and awareness) a specific being is equipped with. So going back to the initial question, in my opinion we do not have all of the faculties or equipment in this physical body to fully understand nothingness and infinity existing together (from a physical perspective at least.) That's why with internal experiences sometimes we can experience something that is so real, but we cannot find the words to explain it because it's beyond the physical comprehension. Many times we forget dreams because we cannot comprehend them. It's happened to me many times. Having dreams so abstract that it just doesn't make sense in this logical waking reality and therefore it becomes an easily forgettable experience.
But logic is just one faculty or tool of many tools, just like intuition, sight, touch, hearing, etc. And I am sure there are many other faculties that we cannot even imagine that exist that humans cannot possess in human physical form. Some we could imagine would be thermal vision, telepathy, clairvoyance, etc, but what if you weren't in a body? What if you were a fundamental geometrical pattern holding up reality? What tools would you have existing as this?
I might sound a bit nuts (I went deep there), but here is the best place to share these crazy thoughts. I hope this connects some dots within your own unique perspective!

P.S. I've also heard of a belief that things are spiral or circular in nature so that the polarities of something are not like lines on a page, rather they are like circles. So the ends of the polarity end up becoming the same somewhere along in the scale. So super blistering hot will eventually become super, mind-bending, extreme cold and then back again. You might be able to think about that in relation to infinity and nothingness as well. I agree with this personally, but it's just a belief at this point and hasn't been experienced directly as much of the above stuff is. Thats philosophy for ya!
