The Atomic Theory
The early Vaiśeṣika texts presented the following syllogism to prove that all objects i.e. the four bhūtas, pṛthvī (earth), ap (water), tejas (fire) and vāyu (air) are made of indivisible paramāṇus (atoms): Assume that the matter is not made of indivisible atoms, and that it is continuous. Take a stone. One can divide this up into infinitely many pieces (since matter is continuous). Now, the Himalayan mountain range also has infinitely many pieces, so one may build another Himalayan mountain range with the infinite number of pieces that one has. One begins with a stone and ends up with the Himalayas, which is a paradox - so the original assumption that matter is continuous must be wrong, and so all objects must be made up of a finite number of paramāṇus (atoms).
According to the Vaiśeṣika school, the trasareṇu (dust particles visible in the sunbeam coming through a small window hole) are the smallest mahat (perceivable) particles and defined as tryaṇukas (triads). These are made of three parts, each of which are defined as dvyaṇuka (dyad). The dvyaṇukas are conceived as made of two parts, each of which are defined as paramāṇu (atom). The paramāṇus (atoms) are indivisible and eternal, they can neither be created nor destroyed. Each paramāṇu (atom) possesses its own distinct viśeṣa (individuality).
The measure of the partless atoms is known as parimaṇḍala parimāṇa. It is eternal and it cannot generate the measure of any other substance. Its measure is its own absolutely.
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