A problem can be considered interesting if it has not been solved before, if it has real-world applications, or if it challenges existing theories and assumptions.
One way to come up with interesting problems is to read scientific literature and identify gaps in knowledge or areas that need further exploration. You can also observe the world around you and think about common problems that people face.
There are many different approaches for solving interesting problems, depending on the nature of the problem. Some common approaches include experimentation, data analysis, mathematical modeling, and computer simulations.
Validity of a solution to an interesting problem can be determined through peer review, where other scientists in the field review and critique the methodology and results. Replicating the experiment or study can also help validate the solution.
Yes, collaboration with other scientists is often beneficial when solving interesting problems. It allows for a diverse range of perspectives and expertise, and can lead to more innovative and robust solutions.