32

Logic 32

could actually be performed in a finite tome just as we should have to admit that Achilles could never over take the tortoise if he had to resolve to run to where the tortoise there was and having arrived there to form a new resolution to run to the point at which the tortoise had then attained.
This would involve the assumption that Achilles would not now unless he saw the tortoise ahead of him.
In like manner the assumption that thought the reasoning process as it is the mind consists of a succession of distinct arguments each having a previously thought premiss involves the assumption that reasoning cannot begin with the very perceptions of sense since in thse perceptions the process of thought has not yet begun so that they do not contain any judgements capable of being exactly represented by prepositions