I’m noticing what might be a miscommunication/misunderstanding between your comment and the post and Kuhn. It’s not that the statement of such open problems creates the paradigm; it’s that solutions to those problems creates the paradigm.
The problems exist because the old paradigms (concepts, methods etc) can’t solve them. If you can state some open problems such that everyone agrees that those problems matter, and whose solution could be verified by the community, then you’ve gotten a setup for solutions to create a new paradigm. A solution will necessarily use new concepts and methods. If accepted by the community, these concepts and methods constitute the new paradigm.
(Even this doesn’t always work if the techniques can’t be carried over to further problems and progress. For example, my impression is that Logical Induction nailed the solution to a legitimately important open problem, but it does not seem that the solution has been of a kind which could be used for further progress.)
I’m noticing what might be a miscommunication/misunderstanding between your comment and the post and Kuhn. It’s not that the statement of such open problems creates the paradigm; it’s that solutions to those problems creates the paradigm.
The problems exist because the old paradigms (concepts, methods etc) can’t solve them. If you can state some open problems such that everyone agrees that those problems matter, and whose solution could be verified by the community, then you’ve gotten a setup for solutions to create a new paradigm. A solution will necessarily use new concepts and methods. If accepted by the community, these concepts and methods constitute the new paradigm.
(Even this doesn’t always work if the techniques can’t be carried over to further problems and progress. For example, my impression is that Logical Induction nailed the solution to a legitimately important open problem, but it does not seem that the solution has been of a kind which could be used for further progress.)