.... The result was that Polk, as his biographer estimates, had to fight 58,000 men with 16,000, while Bragg gathered 36,000 men in the direction of Frankfort, Kentucky, to oppose a mere detachment of Buell 's army, amounting to 12,000 men. After the battle of Chickamauga, Dr. Polk insists that it took Bragg so long to learn that his army was victorious as to make the triumph—which had cost the los...