What are you going on about, imagination, reasoning and creativity are part of philosophy. You can't separate the whole and act like they're different.

Here let me make simple to you. A philosopher knows that heating a pan of water will make the water eventually boil, the mathematician will ask you the dimension how many gallons of water you'll be heating and at what temperature and he'll tell you how long till the water boils, a scientist will tell you that once the water reaches 100 celsius the water will be boiling. Sure philosophy on it's own now days is a bit impractical I'll give you that much but it doesn't mean it's useless.

The wonderment and thought rumination in between problems. The pondering of a problem that needs solving and how to go on about it, it's all types of philosophizing. I know to you that is a dirty word but these acts are still just that. We are all philosophers and scientists, it doesn't mean we are good or capable ones but some people very much are.

Now days we may value more the scientific method than the abstractedness of philosophy. That's too bad because now people will lazily quote scientist instead of applying critical thought on issues. They'll quote scientific papers that agree with their views without as much as looking at sample and conditions or even if it's peer reviewed.

Now you say science is independent of philosophy yet the first 4 steps of the scientific method is philosophizing.

Make an observation. ... Ask a question. ... Propose a hypothesis. ... Make predictions. ...

Yep you're right Science is completely independent from it's ancient brother.