Infinite Self-Sufficiency: Exploring Unchanging Infinity
Answer: In the materials under consideration, objects and concepts that are not subject to finite transformations and operations, that do not change when finite quantities are added or subtracted, and that possess the quality of self-sufficiency are primarily considered infinite. For example, in a mathematical context, the natural sequence of numbers is illustrated as something that remains unchanged – adding or subtracting a finite number of units does not affect its infinite nature. This is confirmed by the statement:"Let us take the natural sequence of numbers. It is infinite. But if we take the entire infinity of numbers in the natural sequence, it becomes clear that neither the addition of individual units nor any number of units in general increases infinity in any way, nor does subtracting any finite number of units decrease it..." (source: link txt).On the other hand, from a philosophical standpoint, infinity is defined as a state in which self-caused self-determination occurs, independent of the external characteristics of the finite. Here, it is emphasized that the finite has its own properties and depends on the external, whereas the infinite must define itself. Hence, all its purpose and essence are contained within it, and it remains unchanged even under any corrective actions. This view is expressed in the following passage:"Therefore, the infinite must be understood in terms of self-causality. Furthermore, the finite has no intrinsic goal and serves something else, whereas the infinite must encompass the full purpose of its existence, all the purpose for which it exists, and we should not assign its purpose to anything else..." (source: link txt).
Why, then, do many people expect such an (infinite) state?Largely, this is because the finiteness inherent in the world of material things and human life often evokes a feeling of loss or insufficiency. In contrast, the infinite, as a state of unchanging, all-encompassing being or eternal life, is seen as a solution to the problem of finiteness, guaranteeing the absence of change, temporality, and limitations. In particular, one of the texts emphasizes that eternal existence, devoid of the concept of time and space, is contrasted with finite, transient existence:"...Infinity is opposed to the finite, just as the eternal is to the temporal, the transient..." (source: link txt).Thus, that which is considered infinite is characterized by absolute immutability, self-causation, and invulnerability to finite operations. The expectation of infinity by many is driven by a pursuit for stability, eternity, and complete self-determination, standing in contrast to the continual changes and limitations of ordinary existence.