Physical Finite – Immaterial Infinite
Quantity is only a term of finitude if it refers to physical objects. Obviously, there are no such limits to the immaterial category and instances of that category, for example there is no finitude in the quantity of ideas. Furthermore, it is the set of ideas, the very concept of ideas that are infinite in quantity, not that one specific idea is infinite in quantity. Here again, as always, infinite is only a concept, certainly not a number. One idea is not infinite, but no end to possible ideas is.
You say, “Infinite can not be numbered or quantified.” That is correct. By common definition infinite increases without bound, and “without bound” is without “specific numbers” and without “specific quantity.” However, “without specific quantity” does not mean without quantity at all.
Infinite unambiguously is with reference to quantity.
When I say infinite increases or decreases without bound, I do not mean that the boundary is unknowable. In fact, that is what “uncountable” means, that there is some boundary, but it is not knowable. Infinity on the other hand means there is literally no quantity boundary limit.
If we are talking about “infinite” and “infinitesimal,” it is understood that increase or decrease never stops until the object that is increasing or decreasing ceases to exist. For example, there is no indication that the objects increasing or decreasing are “eternal,” which exists without beginning and without end.
Numbers are used for counting the quantity increase or decrease of some object or event, say number quantity or size quantity or speed quantity, etc. For example, integers are commonly referred to as counting numbers. Theoretically, you can always add or subtract another integer unit = 1 to the previous total count. That is a mathematical axiom. There is no logical, including mathematical logical coherent reason, to deny this process of “increasing without bound.” That is the actual existence of infinity in integer counting numbers. Of course integer counting numbers are immaterial mathematical abstraction objects, not actual physical objects.
To explain “decreasing without bound” the principle is the same, but it is necessary to use decrease by ½ the previous total, not decrease by integer unit 1. If you decrease quantity by integer unit 1 you will certainly reach zero. However, it is common in mathematics to claim if you, theoretically, decrease some total quantity by ½ repeatedly without bound, you will approach but never reach zero, and that is presumably what infinitesimal means. That assumption is certainly false.
In fact, both explanations, for anything physical infinitely increasing without bound and decreasing without bound are fatal logical errors. Physical increasing without bound is a fatal logical error because nothing physical can be infinite in any kind of quantity (number, size, speed, etc.). There is nothing physical that you could continue to add one additional unit of to the previous total. There is not a single instance of any physical object that anyone could empirically observe that could be increased without bound one unit after another.
Physical decreasing without bound is also a fatal logical error, because there is not a single instance of any physical object that could be reduced by ½ without bound, approaching but never reaching zero. The reason is that there is a Planck unit of every physical object and there is no possible reduction beyond that boundary limit. Infinitesimal for physical does not exist, because once you reach the Planck unit for any object or event, you do in fact reach zero with the next reduction in quantity, and reaching zero is not “decrease without bound” which is the common definition of infinitesimal.
I will mention two examples, the first is for objects and the second is for events, actions or processes. 1) Each quantum elementary particle is irreducible because it exists without internal structure. There is no possible reduction by ½ for any quantum elementary particle. 2) The symbol for Planck constant is ħ (= h-bar), (or h, or italicized h). The Planck constant is a physical constant. It plays a crucial role in quantum mechanics, representing the smallest action, the quantum of action, in the universe. The numerical value of ħ is ≃ 6.62607015×10−34 J⋅s. J·s is joule second time unit of measure. ħ/2π defines one full rotation on the circumference of a great circle of any sphere ball shape, because of the known specific mathematical relationship between radius, diameter and circumference.
With all assumed instances of “infinite large physical” the math always diverges to the fatal mathematical error “infinity ∞ error” not to “∞ solution.” In fact, ∞ cannot be either an operator or a solution to any equation in mathematics. In any instance of “infinitesimal small physical,” you always arrive at zero. It is correct that zero is a possible solution to equations, but logically incoherent to use zero as an operator in any equation because zero is correctly to be used only as a placeholder. In concept, zero is coherently an absence of some quantity, not a reference to any actual specific empirically observable physical quantity of any kind. Once you reach zero quantity of anything physical there is no further reduction. There are no negative quantities of anything physical. For instance, there are no negative cows, and the notion of something called “negative energy” is a complete imaginary fabrication of mathematics that diverges wildly from empirical observation.
Infinite quantity and infinitesimal quantity of anything physical does not refer to anything that could possibly or actually does exist. We must settle for infinite and infinitesimal physical to be metaphors (quite useful in poetry and fiction, but science not so much), not literal empirically observable physical state conditions of objects.
Infinite quantity of immaterial objects, say ideas, is a rational, coherent and correct description, without any logical contradiction. With ideas there is no boundary limit to the total quantity of ideas. The quantity of ideas will continue to increase without bound, until ego consciousness stops creating them. It is intuitively obvious that ego consciousness can create a stream of ideas literally without bound. There can always be another immaterial idea (it is certain that ideas are not physical objects) until enself (collective ego consciousness) ceases to be live streamed by superconsciousness. When a private instance of ego consciousness returns to the superconscious ocean of consciousness, ideas cease to have any meaning. There are no ideas intrinsic to superconsciousness but immaterial superconsciousness entails all instances of immaterial ego consciousness, and ego consciousness entails all instances of immaterial ideas.
