The mean is not midway between zero and the maximum attainable. As Aristotle says, "By the mean relatively to us I understand that which is neither too much nor too little for us; and that is not one and the same for all. For instance, if ten be too large and two be too small, if we take six, we take the mean relatively to the thing itself, or the arithmetical mean. But the mean relatively to us cannot be found in this way. If ten pounds of food is too much for a given man to eat, and two pounds too little, it does not follow that the trainer will order him six pounds; for that also may perhaps be too much for the man in question, or too little; too little for Milo, too much for the beginner. And so we may say generally that a master in any art avoids what is too much and what is too little, and seeks for the mean and chooses it--not the absolute but the relative mean. So that people are wont to say of a good work, that nothing could be taken from it or added to it, implying that excellence is destroyed by excess or deficiency, but secured by observing the mean." The Aristotelian principle, of judging a situation on its merits, and subordinating means to the supreme end, was never more clearly stated than in Lincoln's letter to Horace Greeley: "I would save the Union. If there be those who would not save the Union unless they could at the same time save slavery, I do not agree with them. If there be those who would not save the Union unless they could at the same time destroy slavery, I do not agree with them. My paramount object in this struggle is to save the Union, and is not either to save or to destroy slavery. If I could save the Union without freeing any slave, I would do it; and if I could save it by freeing all the slaves, I would do it; and if I could save it by freeing some and leaving others alone, I would do that. What I do about slavery and the coloured race, I do because I believe it helps to save the Union; and what I forbear, I forbear because I do not believe it would help to save the Union. I shall do less whenever I believe what I am doing hurts the cause, and I shall do more when I shall believe doing more will help the cause." VI THE ARISTOTELIAN VIRTUES AND THEIR ACQUISITION