The
antipope Hippolytus of Rome (I, 5), and later 4
th century Byzantine philosopher
Simplicius of Cilicia, attribute to Anaximander the earliest use of the word
apeíron (/
infinite or
limitless) to designate the original principle. He is the first philosopher to employ, in a philosophical context, the term
arkhế (), which until then had meant
beginning or
origin. For him, it became no longer a mere point in time, but a source that could perpetually give birth to whatever will be.
Aristotle writes (
Metaphysics, I III 3-4) that the
Pre-Socratics were searching for the
element that constitutes all things. While each pre-Socratic philosopher gave a different answer as to the identity of this element (water for Thales, air for Anaximenes, fire for
Heraclitus), Anaximander understood the beginning or first principle to be an endless, unlimited primordial mass (
apeiron), subject to neither old age nor decay, that perpetually yielded fresh materials from which everything we perceive is derived. He proposed the theory of the apeiron in direct response to the earlier theory of his teacher, Thales, who had claimed that the primary substance was water.
For Anaximander, the
principle of things, the constituent of all substances, is nothing determined and not an element such as water in Thales' view. Neither is it something halfway between air and water, or between air and fire, thicker than air and fire, or more subtle than water and earth. Anaximander argues that water cannot embrace all of the opposites found in nature — for example, water can only be wet, never dry — and therefore cannot be the one primary substance; nor could any of the other candidates. He postulated the
apeiron as a substance that, although not directly perceptible to us, could explain the opposites he saw around him.
Anaximander explains how the
four elements of ancient physics (
air, earth, water and
fire) are formed, and how Earth and terrestrial beings are formed through their interactions. Unlike other Pre-Socratics, he never defines this principle precisely, and it has generally been understood (e.g., by Aristotle and by
Saint Augustine, a Roman Catholic philosopher and theologian) as a sort of primal
chaos. According to him, the Universe originates in the separation of opposites in the primordial matter. It embraces the opposites of hot and cold, wet and dry, and directs the movement of things; an entire host of shapes and differences then grow that are found in "all the worlds" (for he believed there were many).
Anaximander maintains that all dying things are returning to the element from which they came (
apeiron). The one surviving fragment of Anaximander's writing deals with this matter. Simplicius transmitted it as a quotation, which describes the balanced and mutual changes of the elements:
Whence things have their origin,
Thence also their destruction happens,
According to necessity;
For they give to each other justice and recompense
For their injustice
In conformity with the ordinance of Time.
This concept of returning to the element of origin was often revisited afterwards, notably by Aristotle (
Metaphysics, I, 3, 983
b 8-11;
Physics, III, 5, 204
b 33-34) and by the Greek
tragedian Euripides ("what comes from earth must return to earth",
Supplices, v. 532). It is even echoed in the Judeo-Christian phrase, "For dust you are and to dust you will return".