"I changed my answers based on intuition, and they were all wrong."
Haru looked dejected while reviewing her test.
"Your first intuition was correct?" Noa asked.
"Yes. Reconsidering was a mistake."
Ren interjected. "Intuition is unreliable. You should think logically."
Noa shook her head. "But sometimes intuition is correct."
"That's coincidence."
"Really?"
Haru looked at both. "What is intuition?"
Noa answered. "A process where past experience unconsciously makes judgments."
"So, a hunch?"
"More complex than a hunch. The brain rapidly matches accumulated patterns."
Ren supplemented. "Heuristics. Simplified judgment rules."
"Simplified?" Haru asked.
"Not perfect, but fast. Advantageous for survival."
Noa gave an example. "When seeing a figure on a dark road, you avoid before thinking. That's intuition."
"Ability to sense danger."
"Yes. But that ability sometimes malfunctions in modern society."
Ren continued. "In statistical problems, intuition often errs."
"For example?"
"The Monty Hall problem. Intuition can't solve it correctly."
Haru remembered. "The door-switching problem!"
"Intuition says 'switching doesn't matter.' But mathematically, 'switching is better.'"
Noa said quietly, "A good example showing intuition's limits."
Haru became anxious. "So should I not use intuition?"
"Not necessarily," Noa said. "It depends on the domain."
"Domain?"
"Expert intuition is quite accurate," Ren acknowledged.
"Experts?"
"Medical diagnosis, a chess master's next move. Years of experience refine intuition."
Noa added, "But only in domains with regularity."
Haru understood. "In random situations, intuition can't be used?"
"Not that it can't be used, but it can't be trusted."
Ren explained. "Stock prediction, gambling. Seeing patterns where none exist."
"That's cognitive bias."
Noa looked at Haru. "What about your test?"
"Math problems."
"Is there regularity?"
"...Yes."
"Then your first intuition likely had some basis."
Haru was surprised. "So I shouldn't have changed it!"
Ren said calmly, "But verification is necessary."
"Verification?"
"Confirm intuition with logic. Use both."
Noa nodded. "Intuition and logic aren't opposing, but complementary."
"Complementary?"
"Intuition generates hypotheses, logic verifies them."
Haru understood. "Both are necessary."
"Using them appropriately for the situation is important," Ren said.
"Intuition in emergencies. Logic when there's time."
Noa supplemented. "For complex social problems, intuition alone is dangerous."
"But logic alone is also insufficient."
Ren admitted. "To capture human elements, intuitive understanding is also needed."
Haru wrote in her notebook. "Intuition is crystallized experience. But not omnipotent."
"Good summary," Noa smiled.
"So what should I do next test?"
"Respect your first intuition, but verify logically," Ren advised.
"Use both."
"And learn from experience in what situations your intuition is accurate."
Noa added, "Self-awareness improves intuition."
Haru laughed. "So you need logic to trust intuition."
"Paradoxical, but correct," Ren acknowledged.
Noa said quietly, "Wisdom is the dance of intuition and logic."
"Dance?"
"You can't dance with only one. They match rhythm."
Haru looked at the window. "Sounds difficult."
"But humans do it every day," Ren said. "Just without awareness."
"So if I'm aware, I'll get better?"
"Probably," Noa nodded. "That's growth."
The three smiled quietly. Because both intuition and logic were imperfect, both were necessary.