Reference: Postulate Mechanics (PM)
The subject of infinity covers the whole universe, all its dimensions, and all the measures that make up those dimensions. Religion and philosophy attribute infinite substance and infinite space not only to universe but also to divinity. Thus Divinity (God) is identified with the notion of infinity.
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Infinite Substance
Anaximander (6th century BCE) was the first to associate infinity with substance. He proposed a primordial infinite substance from which all things arise and to which they return. Descartes (1596 – 1650) argued that only God qualifies as true substance because God alone exists independently of everything else. For Spinoza (1632 – 1677): God = the one infinite substance = the universe itself. He viewed God as nature. Leibniz (1646 – 1716) similarly said, created substances depend on God, who “conserves them and produces them continuously by a kind of emanation”.
Postulate Mechanics defines substance as anything substantial enough to be sensed. The universe is sensed as matter, energy and thought. At the highest level of thought we have postulates. From these postulates proceed reasoning and reality. These postulates are considered to be the domain of divine.
Divine is considered to be a higher existence beyond ordinary human life. When we are dealing with divine, or God, we are actually dealing with the level of postulates.
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Infinite Space
Space is where infinity is most immediately apparent and perplexing to human understanding. Archytas (4th century BCE) argued the world is unbounded/infinite because if bounded, one could extend a hand beyond its edge. Aristotle moved the concept away from substance toward magnitudes (continuous quantities like space, time, and numbers), where infinity applies first to measurable extensions rather than to a primordial substance itself.
Descartes saw substance as occupying space. For Spinoza too, space was one with substance. Space was not seen as something separate from substance. Newton (1642 – 1726) identified physical space with infinite Euclidean space—flat, absolute, and infinitely extended in all directions.
Postulate Mechanics looks at space as an aspect of substance. It is the extent of substance that we see as space. Substance changes in its nature from matter to energy to thought, and so does the space. Without substance there are no extents and no space.
What we regard as “void”, to be sensed, must be occupied by rarest of substances, such as thought. You cannot think of void without the thought of void. The limits to void shall be provided by the limits to thought. Here we find the divinity, the gods, the selves, etc.
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The Infinity
Infinity is the concept of something that is boundless, limitless, or endless—it has no endpoint and goes on forever. It is denoted by the symbol ∞ (a sideways 8), invented by mathematician John Wallis.
Infinity is basically a postulate that is applied to the universe and to its characteristic dimensions, such as, substantiality (substance, space, time, etc), awareness (divinity. God, Self, etc.), and oneness (nature, natural laws, knowledge, wisdom, etc.).
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