Fable
The cave explorer: one who goes down a single path to the end versus one who carries a lamp that can illuminate three forks at once
Behind the mountain temple there were three paths to the medicinal spring. On his first medicine delivery, the young novice monk only heard his senior brother say 'just follow the stone steps, and at forks choose by intuition.' He recited to himself as he walked: first pass the bamboo grove, then look for the stone tablet, then head toward the light.
This method worked well on sunny days. Each step followed the previous one, the reasoning formed a chain, and he could look back and explain clearly why he had walked to the spring. The abbot praised his clear thinking and let him handle more medicine deliveries.
When the rainy season came, a section of the stone steps collapsed, the bright spots became puddles, and the stone marker was covered by vines. The young monk still walked forward according to that string of reasons, straying further and further. Only when his senior brother reminded him did he realize that when one path is pushed all the way, if the front is wrong, the back will follow it into error.
The abbot first had him think through each step in more detail. The young novice filled a page: if the bamboo grove is slippery, walk slowly; if the stone tablet is blurry, wipe it clean. But once he was actually in the mountains, the problem wasn't a lack of detail—it was that he only allowed himself to follow the same train of thought.
The old herb gatherer taught him a different method. At the first fork, he looked at all three paths at once: one short but slippery, one long but steady, one with fresh footprints. He walked a few dozen steps down each, left a marker, then returned to the fork to compare which one seemed more likely to lead to the medicinal spring.
The young monk thought this was too slow. The herb gatherer said that when the mountain path is simple, a clear set of footprints is fastest; when the mountain path is complex, unfolding several possibilities first and then eliminating bad routes actually keeps you from falling into deep valleys. The key is not how beautifully you think, but allowing comparison and backtracking along the way.
The abbot also required him to record the paths he abandoned. In the past he left only the final footprints, making it impossible to see where he misjudged; now, how far each fork was briefly explored, why it was abandoned and when he backtracked could all become experience for the next trip into the mountains. He also discovered that branching exploration cannot expand indefinitely. When the medicine was about to spoil, only the three most promising paths could be explored; only when there was still plenty of daylight was it worth trying more. How much to expand, when to converge and who compares are also a craft. Otherwise multi-path exploration turns delivering medicine into dithering at the fork. The abbot also decreed: for emergencies, seek stability first; only for difficult cases explore more. The path method must serve whether the medicine can be delivered; deduction itself must not become a new delay.
Later, when delivering urgent medicine, the young novice monk would first assess the terrain. On a familiar road on a clear day, he followed one line of reasoning to the end; in heavy rain and fog, he briefly probed several candidate routes, then chose the safest one. Only then did the people in the temple understand that clear single-line reasoning and branching exploration are two different ways of walking the mountain.