Let's hallucinate, take the kids along

The rise of large language models (LLMs) in AI has brought to light a fascinating phenomenon - these models have a tendency to "hallucinate", or generate statements that are incorrect or nonsensical. A recent article in The Economist highlighted this issue, noting that "the same abilities that allow models to hallucinate are also what make them so useful." Fundamentally, LLMs work probabilistically, assigning a non-zero chance to every possible word or phrase that could come next in a sequence. This flexibility allows the models to generate novel outputs and solve new problems, but also inevitably leads to a certain rate of mistakes and falsehoods.

Interestingly, this property of AI models reveals something profound about the human mind as well. Our remarkable ability to imagine, create and solve problems is inextricably linked to our capacity for error. Just like LLMs, human thinking is fundamentally generative and probabilistic - we are constantly making predictions and filling in gaps based on prior knowledge and contextual cues. And in doing so, we inevitably make mistakes, jumping to conclusions and seeing patterns where none exist. In a sense, "hallucination" is a built-in feature of human cognition, not a bug.

This insight has important implications for how we approach education and learning. Too often, our educational systems are overly focused on eliminating errors and inculcating "correct" answers. While accuracy is certainly important, an excessive emphasis on being right all the time can stifle creativity and limit our ability to generate novel ideas and solutions. To truly tap into the power of the human mind, we need to create space for productive mistakes and flights of imagination.

So perhaps we should spend less time trying to prevent students from ever being wrong, and more time teaching them how to recover from errors, distinguish fact from fantasy, and harness their imaginative abilities in positive ways. By embracing a bit of beneficial "hallucination", we may actually enhance our ability to discover truth and expand the boundaries of human knowledge. The key is striking the right balance - letting our minds roam free, while also exercising our critical faculties to rein in our fantasies when needed. In this way, we can learn from the foibles of AI to better understand and cultivate the powers of our own marvelous minds.