In general, each time the man remembers the old man's advice, it's either to acknowledge the old man was right, or to consider the old man womanish. As you can see in the quotes below, he had to admit the old man was right more than he could say he was wrong.
All this the man knew. The old man on Sulphur Creek had told him about it, and now he was grateful for the advice.
He remembered the advice of the old man on Sulphur Creek, and smiled. The man had been very serious when he said that no man should travel alone in that country after 50 below zero. Well, here he was; he had had the accident; he was alone; and he had saved himself. Those old men were rather womanish, he thought.
The man was shocked. It was like hearing his own judgment of death. For a moment he sat and stared at the spot where the fire had been. Then he grew very calm. Perhaps the old man on Sulphur Creek was right. If he had a companion on the trail he would be in no danger now. The companion could have built the fire.
The old man on Sulphur Creek was right, he thought in the moment of controlled despair that followed. After 50 below zero, a man should travel with a companion. He beat his hands, but failed to produce any feeling in them.
His mind went from this to the thought of the old man of Sulphur Creek. He could see him quite clearly, warm and comfortable, and smoking a pipe. “You were right, old fellow. You were right,” he murmured to the old man of Sulphur Creek.