History and major representatives of the various atomisms

Ancient Greek atomism

It is characteristic of the importance of Greek philosophy that, already in the foregoing exposition of the different aspects of atomism, several Greek philosophers had to be introduced. Not only the general idea of atomism but also the whole spectrum of its different forms originated in ancient Greece. As early as the 5th century bce, atomism in the strict sense (Leucippus and Democritus) is found, along with various qualitative forms of atomism: that of Empedocles, based on the doctrine of the four elements, and that of Anaxagoras, with as many qualitatively different atoms as there are different substances.

Yet, in spite of its successful start, atomism did not gain preeminence in Greek thought. This is mainly because Plato and Aristotle were not satisfied with the atomistic solution of the problems of change as a general solution. They refused to reduce the whole of reality, including human beings, to a system that knew nothing but moving atoms. Even with respect to the problems of the material world, atomism seemed to offer no sufficient explanation. It did not explain the observable fact that, notwithstanding continual changes, a total order of specific forms continued to exist. For this reason Aristotle, with Plato, was more interested in the principle of order than in that of the material elements. In his own analysis of change, which resulted in the matter-form doctrine, Aristotle explicitly rejected the thesis of Democritus that in a chemical reaction the component parts retain their identity. According to Aristotle, the elements that enter into a composite with each other do not remain what they were but become a compound. Although there is some indication that in Aristotle’s chemical theory smallest particles played a role, it was certainly not a very important one.

Meanwhile, atomistic ideas remained known in Greek thought. Their opponents paid much attention to them, and in later times there were also a few adherents of Democritean atomism, such as the Greek hedonist Epicurus (c. 341–279 bce) and the Roman poet Lucretius Carus (c. 95–55 bce), who, through his famous didactic poem De rerum natura (“On the Nature of Things”), introduced atomism into the Latin world.

The elachista of the early Aristotelian commentators

Empedocles had suggested an atomism with qualitatively different atoms, based upon the doctrine of the four elements. Aristotle adopted the latter doctrine but without its atomistic suggestion. Certain Greek commentators on the works of Aristotle, however—namely, Alexander of Aphrodisias (2nd century ce), Themistius (4th century ce), and Philoponus (6th century ce)—combined the Aristotelian theory of chemical reactions with atomistic conceptions. In their systems the atoms were called elachista (“very small” or “smallest”). The choice of this term was connected with the Aristotelian rejection of the infinite divisibility of matter. Each substance had its own minimum of magnitude below which it could not exist. If such a minimum particle were to be divided, then it would become a minimum of another substance.

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The minima naturalia of the Averroists

The Latin commentators on Aristotle translated the term elachista into its Latin equivalent, minima, or into minima naturalia—i.e., minima determined by the nature of each substance. In fact, for most medieval Aristotelians, the minima acquired little more reality than the theoretical limit of divisibility of a substance, and, in their descriptions of physical and chemical processes, they paid no attention to the minima. With the Averroists—followers of the Arab Aristotelian Averroës (1126–98)—an interesting development occurred. Agostino Nifo (1473–1538), for example, explicitly stated that in a substance the minima naturalia are present as parts; they are physical entities that actually play a role in certain physical and chemical processes. Because the minima had acquired more physical reality, it then became necessary to know how the properties of the minima could be connected with the sensible properties of a substance. Speculations in this direction were developed by the Italian physician, philosopher, and litterateur Julius Caesar Scaliger (1484–1558).