Reference: Postulate Mechanics
What does it mean for something to have no beginning, no end, and no edge? Thinkers across centuries have wrestled with that question — and their answers keep circling back to the same three ideas: substance, space, and infinity itself.
Infinite Substance
Think of the universe as a kind of ocean. Ancient Greek philosopher Anaximander, writing in the 6th century BCE, believed everything that exists — rocks, fire, living creatures — emerges from a single boundless “stuff” and eventually dissolves back into it, the way waves rise from and return to the sea. He was the first thinker to link the idea of infinity directly to substance — the raw material of existence.
Later philosophers pushed this further. René Descartes argued that only God counts as truly independent substance, because everything else depends on something else to exist. Your body depends on food; a flame depends on fuel. God, by contrast, depends on nothing. Baruch Spinoza took a bolder step: he said God is the universe — one single infinite substance, which he simply called “nature.” Gottfried Leibniz agreed that created things rely on God continuously, the way a candle flame relies on the wick and wax, never standing on its own for a single moment.
Postulate Mechanics defines substance as anything substantial enough to be sensed. We sense the universe as matter, energy, and thought. At the deepest level of thought lie postulates: the foundational assumptions from which reasoning and reality flow, the way every building ultimately rests on its foundation. These postulates are considered the domain of the divine.
To be “divine,” in this sense, is not about clouds and halos. It simply means a level of existence beyond ordinary everyday experience — the level where the basic rules of reality are set. When you think about God or the divine, you are really asking: who or what wrote the foundational postulates?
Infinite Space
Imagine you are standing at the very edge of the universe, looking outward. Can you reach your hand out? If you can, there must be more space beyond the edge — which means it wasn’t really the edge at all. This is essentially the argument Archytas made in the 4th century BCE, and it still stops people cold today. The universe, he concluded, cannot be bounded, because a boundary always implies something beyond it.
Aristotle shifted the conversation: he said infinity isn’t a thing that exists somewhere — it’s a property of measurable quantities. Space, time, and numbers don’t hit a wall; you can always add one more. Isaac Newton went further and pictured space as an infinite, perfectly flat, three-dimensional grid extending in all directions forever — the cosmic stage on which everything happens, absolute and unchanging.
Spinoza and Descartes, however, refused to separate space from substance. Space isn’t an empty container waiting to be filled; it is the extent of substance. Postulate Mechanics agrees: space is what you get when substance spreads out. Matter creates the space we measure with rulers. Energy creates the space we feel as fields and forces. Thought creates a subtler kind of space — the space of ideas, imagination, and awareness.
This leads to a striking conclusion about “void.” True emptiness — a complete absence of everything — cannot even be conceived, because the moment you think about it, you’ve filled it with thought. The void has boundaries only where thought has boundaries. That frontier, where thought runs out, is precisely where divinity, selfhood, and ultimate awareness reside.
The Infinity
The symbol for infinity — ∞, a sideways figure-eight — was invented by the English mathematician John Wallis in 1655. It looks like a loop with no beginning and no end, which is exactly the point. Infinity is not a very large number; it is the idea that no number, no measurement, no boundary can ever be the final one.
Consider counting: 1, 2, 3 … you can always add another. Or picture a circle: you can travel its circumference forever and never reach a starting point. These are small, everyday hints at what infinity means — but the concept extends far beyond mathematics. Infinity is essentially a postulate we apply to the universe and everything that makes it up: the physical dimensions (substance, space, time), the dimensions of awareness (divinity, God, the self), and the dimensions of unity (nature, natural laws, knowledge, wisdom).
A useful way to hold all three together: think of a river. The water is substance — always flowing, never the same water twice, yet always the river. The riverbed and banks are space — shaped by the water, inseparable from it. And the fact that the river keeps flowing, without ever being told to, without ever stopping — that is infinity. It is not a place the river reaches; it is the nature of the river itself.
Infinity, divinity, and the universe are not three separate puzzles. They are three ways of pointing at the same boundless reality — one seen through matter, one through awareness, and one through the simple recognition that neither has an end.
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