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To some extent it depends on what you mean by "solve" and "problem", but the answer is no in any case.

1. If by "solve" you mean solve analytically (i.e., come up with a formula that gives the solution) and by "problem" you mean a problem of something as simple as predicting the orbits of the bodies that make up the solar system, then there is a mathematical proof that no solution exists.

2. If by "problem" you mean the problems important to society like war, famine, global climate change, how to live a satisfying and happy life, and by "solve" you mean that scientists working alone can arrange by themselves for these problems to disappear,, then the answer is no. In some limited cases, like global climate change, scientists can suggest possible solutions, but unless the vast majority of the people help implement the suggested solutions, no solution will be accomplished. And science has almost nothing to say about values, ethics. the best form of government, etc.

So, no. Science (and certainly not scientists alone) can not solve all problems.

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Q: Can science solve all problems
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