"To bring the matter home still more pointedly let us suppose in fact" a given capital. A social profit of 400 per cent divided among a million participants, each of them interested to the extent of 1 franc, would give 4 francs profit per head -- and not 0.0004, as M. Proudhon alleges.
Likewise a loss of 33 per cent for each of the participants represents a social deficit of 330,000 francs and not of 33 million (100:33 = 1,000,000:330,000).
M. Proudhon, preoccupied with his theory of the person, Society, forgets to divide by 100, which entails a loss of 330,000 francs; but 4francs profit per head make 4 million francs profit for society. There remains for society a net profit of 3,670,000 francs. This accurate calculation proves precisely the contrary of what M. Proudhon wanted to prove: namely, that the profits and losses of society are not in inverse ratio to the profits and losses of individuals.
Having rectified these simple errors of pure calculation, let us take a look at the consequences which we would arrive at, if we admitted this relation between speed and capital in the case of railways, as M.
Proudhon gives it -- minus the mistakes in calculation. Let us suppose that a transport four times as rapid costs four times as much; this transport would not yield less profit than cartage, which is four times slower and costs a quarter the amount. Thus, if cartage takes 18 centimes, rail transport could take 72 centimes. This would be, according to "the rigor of mathematics", the consequence of M. Proudhon's suppositions -- always minus his mistakes in calculation. But here he is all of a sudden telling us the if, instead of 72 centimes, rail transport takes only 25, it would instantly lose all its consignments. Decidedly we should have to go back to the van, to the primitive waggon even. Only, if we have any advice to give M. Proudhon, it is not to forget, in his Programme of the Progressive Association , to divide by 100. But, alas! it is scarcely to be hoped that our advice will be listened to, for M. Proudhon is so delighted with his "progressive association", that he cries most emphatically:
"I have already shown in Chapter II, by the solution of the antinomy of value, that the advantage of every useful discovery is incomparably less for the inventor, whatever he may do, than for society. I have carried the demonstration in regard to this point in the rigor of mathematics!"Let us return to the fiction of the person, Society, a fiction which has no other aim than that of proving this simple truth -- that a new invention which enables a given amount of labor to produce a greater number of commodities, lowers the marketable value of the product. Society, then, makes a profit, not by obtaining more exchange values, but by obtaining more commodities for the same value. As for the inventor, competition makes his profit fall successively to the general level of profits. Has M. Proudhon proved this proposition as he wanted to? No. This does not prevent him from reproaching the economists with failure to prove it. To prove to him on the contrary that they have proved it, we shall cite only Ricardo and Lauderdale -- Ricardo, the head of the school which determines value by labor time, and Lauderdale, one of the most uncompromising defenders of the determination of value by supply and demand. Both have expounded the same proposition:
"By constantly increasing the facility of production, we constantly diminish the value of some of the commodities before produced, though by the same means we not only add to the national riches, but also to the power of future production.... As soon as by the aid of machinery, or by the knowledge of natural philosophy, you oblige natural agents to do the work which was before done by man, the exchangeable value of such work falls accordingly. If 10 men turned a corn mill, and it be discovered that by the assistance of wind, or of water, the labor of these 10 men may be spared, the flour which is the produce partly of the work performed by the mill, would immediately fall in value, in proportion to the quantity of labor saved; and the society would be richer by the commodities which the labor of the 10 men could produce, the funds destined for their maintenance being in no degree impaired."(Ricardo [II 59])
Lauderdale, in his turn, says:
In every instance where capital is so employed as to produce a profit, it uniformly arises, either -- from its supplanting a portion of labor, which would otherwise be performed by the hand of man; or -- from its performing a portion of labor, which is beyond the reach of the personal exertion of man to accomplish. The small profit which the proprietors of machinery generally acquire, when compared with the wages of labor, which the machine supplants, may perhaps create a suspicion of the rectitude of this opinion.
Some fire-engines, for instance, draw more water from a coalpit in one day than could be conveyed on the shoulder of 300 men, even assisted by the machinery of buckets; and a fire-engine undoubtedly performs its labor at a much smaller expense than the amount of the wages of those whose labor it thus supplants. This is, in truth, the case with all machinery. All machines must execute the labor that was antecedently performed at a cheaper rate than it could be done by the hand of man....