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Simple: if you don't publish your work, we don't fund you. Why is this even a question?

This is about cooperation before publishing results. And they will keep everything medieval secret, else some big company steals it and claims it their own.

So then the solution is to publish more often (e.g. on a public blog) even if your ideas are not fully developed in order to establish priority and show you are doing something.

Analogously with software development, it's always been good practice to write things down, but since the start of this year it's become dramatically more important for everyday work.

I don’t follow… if you publish your underdeveloped ideas, these companies will develop them for you, which is the problem

And they won't credit you.

Will they do that? Obviously they want some publicity about their model capabilities recently, but even there they have their eyes on major newsworthy problems. Are they going to scan everyone's blogs so they can scoop them on some random paper on e.g. PDEs modeling plasma dynamics in different gasses? Why? They just want to spite researchers and are willing to burn money doing it?

Science and math breakthroughs are a great excuse to wield all this power

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