Note A. Contradiction, and the Contrary.[1]
If we are asked “What is contrary or contradictory?” (I do not find it necessary here to distinguish between these), the more we consider the more difficult we find it to answer. “A thing cannot be or do two opposites at once and in the same respect”—this reply at first sight may seem clear, but on reflection may threaten us with an unmeaning circle. For what are “opposites” except the adjectives which the thing cannot so combine? Hence we have said no more than that we in fact find predicates which in fact will not go together, and our further introduction of their “opposite” nature seems to add nothing. “Opposites will not unite, and their apparent union is mere appearance.” But the mere appearance really perhaps only lies in their intrinsic opposition. And if one arrangement has made them opposite, a wider arrangement may perhaps unmake their opposition, and may include them all at once and harmoniously. Are, in short, opposites really opposite at all, or are they, after all, merely different? Let us attempt to take them in this latter character.
“A thing cannot without an internal distinction be (or do[2]) two different things, and differences cannot belong to the same thing in the same point unless in that point there is diversity. The appearance of such a union may be fact, but is for thought a contradiction.” This is the thesis which to me seems to contain the truth about the contrary, and I will now try to recommend this thesis to the reader.
The thesis in the first place does not imply that the end which we seek is tautology. Thought most certainly does not demand mere sameness, which to it would be nothing. A bare tautology (Hegel has taught us this, and I wish we could all learn it) is not even so much as a poor truth or a thin truth. It is not a truth in any way, in any sense, or at all. Thought involves analysis and synthesis, and if the Law of Contradiction forbade diversity, it would forbid thinking altogether. And with this too necessary warning I will turn to the other side of the difficulty. Thought cannot do without differences, but on the other hand it cannot make them. And, as it cannot make them, so it cannot receive them merely from the outside and ready-made. Thought demands to go proprio motu, or, what is the same thing, with a ground and reason. Now to pass from A to B, if the ground remains external, is for thought to pass with no ground