Our goal, with this essay, is to explore.

To explore what?

A new vision of infinity.

Something simple.

And, yet, something exciting.

Let’s begin!

The Infinite List

Our new vision of infinity is a list.

A list with no ending.

You can go into this list for an unending wealth of years, millenia, eternities — ad infinitum — and, in doing so, you will never reach an ending, final boundary, conclusion; ad infinitum.

On its own, this idea is exciting.

Just imagine an infinite list!

Our goal, though, is to take this concept, and to expand on it.

To expand on it in three unique ways.

Our First Vision Of An Infinite List

Our first vision of an infinite list is the simplest of them all.

Just imagine a list with no ending and, in turn, an infinite number of unique ideas.

Your list may contain an infinite number of different types of candy.

Just as an example.

If you were to go through this list, for 158 billion years, ten items a second, you would never reach the end.

The same is true if you went through an infinite number of items, every second, for an infinite number of eternities.

It’s paradoxical, but true; infinity has no ending and, therefore, even if you went through an infinite number of items within this list, you would never reach an ending, conclusion, boundary; ad infinitum.

All of this is nice. But, what if we could expand on this vision and make it even bigger?

Our Second Vision Of An Infinite List

Our second vision of an infinite list is an infinite list with an infinite wealth of:

• Sections
• Spaces
• Zones
• Bodies
• Chapters

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

Every single one of these sections and spaces — ad infinitum, of course — contains an infinite number of items.

If you were to pore through a single section for an infinite number of eternities, you would never reach the end of the items within that section.

The same is true of the number of sections within the list, as well as the list itself.

Given the uniqueness of this arrangement, one might wonder: are these sections as infinite as the list itself?

The answer is twofold.

Yes, they are. And, this is because they are infinite.

But, at the same time, they are not: some infinities are infinitely larger than others.

Just as an example of the above, there are an infinite wealth of unique numbers that exist.

If you were to create two sets, though, one of which contains even numbers, and one of which contains all numbers, then the set of all numbers would be infinitely larger than the other set, even though they are both infinite.

The vastness of these infinities exist beyond our mind’s grasp.

Our Third Vision Of An Infinite List

Our third vision of an infinite list is nearly identical to the vision outlined above.

But, there is one fundamental difference.

Every single item on our infinite list exists as more than an item.

Each item contains, within itself, an infinite structure.

The infinite structure within each item generates an infinite number of:

• Sets
• Series
• Collections
• Lists
• Arrays

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

Every single one of these sets, for example, contains an infinite number of items related to the item it is a part of.

Just as an example, if one item, on a list, is a piece of mint candy, then every set and array — ad infinitum — contains an infinite number of items related to that initial item.

Or, at least, that’s one idea.

The “set vision,” as it were, is infinitely flexible, vast, and rich; ad infinitum.

You can envision each set as a vast, infinite universe with infinite worlds and libraries and forms — ad infinitum — that actively transcend numbers, language, mathematics; ad infinitum.

It’s all quite fun.

Conclusion

Just to wrap this up, infinity is one of my richest passions.

My hope is that you enjoyed this brief exploration of infinity.

Even if you didn’t, though, thank you for reading!