“ When my opponent has sixteen men and I have fourteen, I am only one eighth weaker than he, but when I have exchanged thirteen more men he will be three times as strong as I am. ”
Leo Tolstoy, War and Peace (1869). copy citation
Author | Leo Tolstoy |
---|---|
Source | War and Peace |
Topic | exchange time |
Date | 1869 |
Language | English |
Reference | |
Note | Translated by Louise and Aylmer Maude |
Weblink | http://www.gutenberg.org/files/2600/2600-h/2600-h.htm |
Context
“If the commanders had been guided by reason, it would seem that it must have been obvious to Napoleon that by advancing thirteen hundred miles and giving battle with a probability of losing a quarter of his army, he was advancing to certain destruction, and it must have been equally clear to Kutúzov that by accepting battle and risking the loss of a quarter of his army he would certainly lose Moscow. For Kutúzov this was mathematically clear, as it is that if when playing draughts I have one man less and go on exchanging, I shall certainly lose, and therefore should not exchange. When my opponent has sixteen men and I have fourteen, I am only one eighth weaker than he, but when I have exchanged thirteen more men he will be three times as strong as I am. Before the battle of Borodinó our strength in proportion to the French was about as five to six, but after that battle it was little more than one to two: previously we had a hundred thousand against a hundred and twenty thousand; afterwards little more than fifty thousand against a hundred thousand.”
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