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Peter Lilley's avatar

You make the valid, but rarely made point that: immigration doesn’t take jobs because “the same immigrants who supply labor also demand products that are made with labor”. That also means that immigration does not alleviate labour shortages. A point even more rarely made - at least in my country, the U.K. where the labour shortage has been used to justify mass immigration even though it has had no effect on the level of vacancies.

David Wilkens's avatar

I am not surprised that solutions to unsolved math problems will come from seemingly unconnected areas. Math is interconnected in ways that we do not fully comprehend. Mathematicians are finding it increasingly difficult to solve problems because one must be a polyglot. This has been one of the applications of AI I have been anticipating and most excited about. The other is the discovery of applications. One criticism of pure math is "what is it good for." Using Number Theory as an example, it was long thought the purest of maths was a discipline meant to just tickle the brains of those smart enough to dabble in it. Then came cryptography. Math doesn't just exist for the sake of existing, it is connected to and helps explain something in the universe. We just haven't yet found what all those connections are. Mathematical AI will be a tidal wave. The mathematician's job will be to supervise and help confirm the results.

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