| For, grant that composite substances do not consist of simple parts; in this case, if all combination or composition were annihilated in thought, no composite part, and (as, by the supposition, there do not exist simple parts) no simple part would exist. |
| Consequently, no substance; consequently, nothing would exist. |
| Either, then, it is impossible to annihilate composition in thought; or, after such annihilation, there must remain something that subsists without composition, that is, something that is simple. |
| But in the former case the composite could not itself consist of substances, because with substances composition is merely a contingent relation, apart from which they must still exist as self-subsistent beings. |
| Now, as this case contradicts the supposition, the second must contain the truth- that the substantial composite in the world consists of simple parts. |
| It follows, as an immediate inference, that the things in the world are all, without exception, simple beings--that composition is merely an external condition pertaining to them--and that, although we never can separate and isolate the elementary substances from the state of composition, reason must cogitate these as the primary subjects of all composition, and consequently, as prior thereto--and as simple substances. |
| ANTITHESIS. |
| No composite thing in the world consists of simple parts; and there does not exist in the world any simple substance. |
| PROOF. |
| Let it be supposed that a composite thing (as substance) consists of simple parts. |
| Inasmuch as all external relation, consequently all composition of substances, is possible only in space; the space, occupied by that which is composite, must consist of the same number of parts as is contained in the composite. |
| But space does not consist of simple parts, but of spaces. |
| Therefore, every part of the composite must occupy a space. |
| But the absolutely primary parts of what is composite are simple. |
| It follows that what is simple occupies a space. |
| Now, as everything real that occupies a space, contains a manifold the parts of which are external to each other, and is consequently composite--and a real composite, not of accidents (for these cannot exist external to each other apart from substance), but of substances--it follows that the simple must be a substantial composite, which is self-contradictory. |
| The second proposition of the antithesis--that there exists in the world nothing that is simple--is here equivalent to the following; The existence of the absolutely simple cannot be demonstrated from any experience or perception either external or internal; and the absolutely simple is a mere idea, the objective reality of which cannot be demonstrated in any possible experience; it is consequently, in the exposition of phenomena, without application and object. |
| For, let us take for granted that an object may be found in experience for this transcendental idea; the empirical intuition of such an object must then be recognized to contain absolutely no manifold with its parts external to each other, and connected into unity. |
| Now, as we cannot reason from the non-consciousness of such a manifold to the impossibility of its existence in the intuition of an object, and as the proof of this impossibility is necessary for the establishment and proof of absolute simplicity; it follows that this simplicity cannot be inferred from any perception whatever. |
| As, therefore, an absolutely simple object cannot be given in any experience, and the world of sense must be considered as the sum total of all possible experiences; nothing simple exists in the world. |
| This second proposition in the antithesis has a more extended aim than the first. |