It is a wonderful concept that does not rely on divine expressions to explain its narrative. It speaks to the idea of limitlessness and uncertainty, transforming all that exists from the boundless and unpredictable back to the infinite and uncertain. After all, the finite is subject to the passage of time, and thus, must return all that it has taken from the infinite.
The boundless, indefinite principle of Anaximander, which never ages and thus never dies, is ambiguous due to his belief that "if I define it, I will limit it, and if I limit it, it cannot be the original source (arkhe)".
In Greek, it means both "unlimited in quantity" and "indeterminate in quality". It is debatable whether Anaximander used the first, the second, or both of these meanings. However, Aristotle's discussion of it seems to suggest that it was used in terms of quantity.
In Ancient Greek, the prefix "a-" negates peras, giving the meaning of "infinity" - not to be confused with aidion.
"The concept of determinism states that all events are predetermined and that free will is an illusion."
The idea of determinism suggests that all events are predetermined and that free will is merely an illusion.
According to Anaximander, the answer to the problem of arkhe in ancient Greek philosophy is that apeiron is infinite and eternal. All that is visible is only temporary and imperfect, while the essential perfection lies in apeiron, the uncertainty of infinity. All that exists will eventually return to its source, which is the infinite uncertainty of apeiron. Existence is fleeting, but apeiron is permanent.
Anaximandros put forward the concept of the apeiron to express the motion of unlimited, indefinite matter. This concept was a major step in the development of ancient Greek materialism, as it identified matter with tangible air, water, and so on. The infinite number and variety of objects and all realms occur through opposites such as hot and cold, wet and dry, and the separation of the struggle of these opposites from the apeiron. For the Pythagoreans, the apeiron was the unlimited principle, the basis of all that exists alongside its opposite - the finite.
Anaximander described infinity and eternity as the first elements of the universe.