9 New Conceptions Of The Infinite — Part 01

Maxwell Akin
5 min readDec 10, 2023

Our goal, with this essay series, is to clarify nine conceptions of the infinite.

Every conception is unique and distinct; a source of magic and awe.

Or, at least, that is the intention.

Outside of that one, note to remember is that each conception connects to the other.

Given the fact outlined above, no conception is distinct, and each one serves as a single facet of the vast, endless conceptual richness that is infinity.

Conception 01: A Neverending Recursion

Our first conception of the infinite is a recursion.

A neverending recursion.

And, yet, that definition is inadequate: we are not referring to a recursion but, rather, a system of infinite depths and heights; and so on and so forth, endlessly and infinitely; ad infinitum.

Even so, though, this system is rooted within the definitions it engenders, relies upon, and is, across an infinite series of levels, depths, heights, spaces, and transcendences; ad infinitum.

Given the above, there is, perhaps, a slightly recursive element to this.

Regardless of that, though, our first conception is a system that allows a concept to contain, and generate, an infinitude of depths, levels, heights, growths; and so on and so forth, endlessly and infinitely; ad infinitum.

Each one is rooted within what it is and what it creates, as per its very nature.

Just as an example, imagine an infinite library.

Right within this library, underneath its conceptual fabric, there are infinite library spaces; infinite mediums; infinite variations on the medium that is “the book;” infinite novel forms rooted within language and expression and sense-making; infinite systems and mediums — ad infinitum — of organization.

And so on and so forth, endlessly and infinitely; ad infinitum.

Every single one of these is fundamentally rooted within the concept of an infinite library.

Right underneath — metaphorically, that is — the bedrock — or “foundation” — of these concepts, there are infinite depths and levels — ad infinitum — that expand upon the infinite vastness of the concept.

The same rule applies to what lies above this metaphorical foundation.

Just as an example, instead of being merely a single infinite library, it is, in fact, an infinite number of infinite libraries, each one connected, grown from, and contained within — ad infinitum — a neverending wealth of vast, infinite library systems that are part of an infinite network of singularities that are grown from thought and consciousness as part of a vast, infinite universal force; and so on and so forth, endlessly and infinitely; ad infinitum.

And, well, it just keeps getting bigger and bigger, more and more transcendent; ad infinitum.

Outside of the above, though, it is worth noting that, within this conception of ours, every single element or bit or component — ad infinitum — of a system or idea — ad infinitum — exists within, and grows, an infinite network of recursions that go higher and higher and lower and lower, with no ending and no genuine limits.

No matter what, though, each system or idea — ad infinitum — and the recursion it engenders, is rooted within the fundamental rules that define it and, in turn, what is possible for it.

The above is important as our third conception serves as an exploration, and transcendence of, these notions.

Come to think of it, so does our fourth conception. But, it does so in a slightly more unique manner.

Conception 02: A Transcendent Vision

Our second conception serves as a system of seeing, perceiving, interacting with, using — ad infinitum — a vast, infinite concept, notion, idea, system; and so on and so forth, endlessly and infinitely; ad infinitum.

Just as an example, imagine an infinite library.

A neverending library rich with infinite books, films, comic books, magazines; and so on and so forth, endlessly and infinitely; ad infinitum.

You can conceive of this library as you would any other library.

Or, you can conceive of it in an infinite number of unique, distinct ways and manners; ad infinitum.

Just as an example, you might conceive of it as an infinite skyscraper with infinite floors, levels, and depths; ad infinitum.

Every floor, level, and depth contains infinite spaces, zones, rooms — ad infinitum — each of which contains infinite spaces and sectors and zones — ad infinitum — within itself.

Regarding the latter notion, you can go through a single room within a room within a room — ad infinitum — for an unending wealth of eternities, never truly reaching the end or any limits, for there are none.

Outside of that basic conception, you can imagine an infinite wealth of architectural styles, designs, patterns — ad infinitum — all of which are novel and unique, existing within infinite quantities, across this one conception.

The key phrase above is “this one conception.”

You see, this is merely one conception — or, perhaps, one perspective or aesthetic, or even, interface; ad infinitum — of an infinite “thing,” out of an infinite, endless number.

You can conceive of something that is infinite in an infinite number of unique ways.

Just as an example, you might imagine this infinite library as a series of computer folders; endless folders with endless files and endless folders within those, across an endless number of vast, infinite UIs, browsers, folders, text documents; and so on and so forth, endlessly and infinitely; ad infinitum.

Our second conception — and, in turn, the system that it gives rise to — allows every single infinite idea or system or concept — ad infinitum — to be perceived, and interacted with, in an infinite number of unique ways.

Conception 03: A Limitless Transcendence

A recursion is bound to itself.

Or, more specifically, it is bound to the basic framework of what it is and can be.

Our first conception is, therefore, rooted within this notion.

Don’t get me wrong, our first conception is infinite.

But, in the end, it is rooted within a fractal structure, of sorts, made of relatively simple rules.

On the other hand, though, our third conception is rooted within transcendence.

A unique form of evolutionary transcendence that allows a concept to go beyond all that it is.

Just as an example, there exists, within our infinite library, an element.

A relatively simple element that allows it to modify, and then redefine, its own conceptual structure.

The element dives into itself and, in doing so, transcends its existence as little more than an infinite library, growing into a vast, infinite singularity of information and energy, before growing into something that transcends the infinite universe it was grown from and all conceptions of the universe and, then, all conceptions of experience and novelty and form and infinity; ad infinitum.

And so on and so forth, endlessly and infinitely; ad infinitum.

No matter what, the concept still began within the framework of a library.

Even so, though, it has managed to transcend those basic roots, to become something that is far more than it was thought to be and far more than we can imagine, conceive of, or interact with.

Conclusion

Just to wrap this up, thank you so much for reading this essay!

If you wish to reach me, you can do so by emailing me at “maxwellcakin@gmail.com.”

Best wishes and, of course, please have a lovely day!

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Maxwell Akin

Hey! I’m Max! I Hope You Enjoy What You’re Reading, And If You Want To Reach Me For Any Reason At All, You Can Do So At “maxwellcakin@gmail.com”.