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What would a "real world" application of this be? Could I for example chuck a bunch of simulated worms onto a map and have it solve a route? "Given enough worms, all Travelling Salesman problems are shallow?"

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The real world application would be to understand how more complex nerve systems might work. Understanding enables progress.

Sure, but if you can get some sort of understandable result, we might learn a bit more about what the worm's neurons are doing.

Would you mind explaining the unstated premise that basic research should in any way should be directly applied to solve real world problems?

Would you mind explaining why you think I said that?

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