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The collection of good, fruitful open problems is now being mined in a non-renewable fashion

The collection of good, fruitful open problems is now being mined in a non-renewable fashion

Tech Mathstodon
Mathematician Terence Tao warns that the indiscriminate use of automated solution-extraction tools is depleting the ecosystem of future progress.
What: Terence Tao argues that powerful AI tools are being used to solve isolated mathematical problems in a way that burns through valuable research problems without building the necessary understanding for sustained long-term progress.
Why it matters: This highlights the danger of prioritizing immediate productivity in research over the deliberate, subjective process of building structural expertise that defines healthy academic fields.
Original article

Working out whether a question is actually worth working on is a lengthy, deliberate, and subjective process. Being aware of the difficulty landscape in a field is crucial in making such determinations. Every new advance in mathematics reduces the difficulty of solving problems, which reduces the difficulty landscape of the field. While there are an infinite number of possible problems to solve in mathematics, the vast majority of these problems are not worth focusing on. The indiscriminate use of powerful solution-extraction tools achieves the immediate short-term goal of solving problems at hand at the cost of sustaining the ecosystem for the next wave of progress, or in understanding the progress already obtained.

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