Hence, they considered it necessary for there to be a...
Hence, they considered it necessary for there to be a entified independent subject of motion and attribution which remains fixed through the process of motion, and to which motion and change are related as accidents and attributes. However, as was previously made clear, motion is that very flowing of the existence of substances and accidents, not an accident alongside other accidents.
In other words, the concept of motion is not a whatish concept, rather it is a secondary philosophical intelligible. To put it still differently, motion is an analytic accident of existence, not an extraneous accident of existents. These sorts of concepts do not need a subject in the sense which has been established for accidents.
The only thing that can be considered as the source of abstraction of motion is the flowing substantial or accidental existence itself, in the sense of a subject related to analytic accidents, that is, a subject whose objective existence is identical with an accident, and any distinction between them is impossible except in the realm of mental analysis.
Therefore, when we say, ‘A substance has changed,’ it is as if we were to say, ‘the color of the apple (and not the apple itself) has changed.’ It is clear that in the process of a transformation in color, there is no fixed color to which the transformation is attributed. Even an independent subject is related to accidental motions only because of its being an accident, not because it is motion.
Therefore, even if the accident pertaining to the motion were to remain unchanged, it would still need a subject, as the apple itself is needed whether its color is fixed or changing. It is to be concluded that motion and immutability are two analytic attributions for flowing and immutable existence, and such attributions do not require entified subjects of attribution independent of the attribution itself.
In the same way as immutability is not an accident of an existent in external reality in such a way that it would lack immutability without that accident, likewise, the attribute of motion is not is not an extraneous accident of a particular existent so that without it, it should be characterized with immutability and lack of motion. In technical terms, analytic accidents do not require independent subjects; rather their existence is identical with the existence of their subjects.