The sophism which I am now combating, has its root in the infinite divisibility which belongs to value, as it does to matter.
It appears at first paradoxical, but it is well known to all mathematicians, that, through all eternity, fractions may be taken from a weight without the weight ever being annihilated. It is sufficient that each successive fraction be less than the preceding one, in a determined and regular proportion.
There are countries where people apply themselves to increasing the size of horses, or diminishing in sheep the size of the head. It is impossible to say precisely to what point they will arrive in this. No one can say that he has seen the largest horse or the smallest sheep's head that will ever appear in the world. But he may safely say that the size of horses will never attain to infinity, nor the heads of sheep to nothing.
In the same way, no one can say to what point the price of stockings nor the interest of capitals will come down; but we may safely affirm, when we know the nature of things, that neither the one nor the other will ever arrive at zero, for labour and capital can no more live without recompense than a sheep without a head.
The arguments of M. Proudhon reduce themselves, then, to this:—Since the most skilful agriculturists are those who have reduced the heads of sheep to the smallest size, we shall have arrived at the highest agricultural perfection when sheep have no longer any heads. Therefore, in order to realise the perfection, let us behead them.
