My question is about which you prefer and why. For context, Continental philosophy is often centered around a creative or conceptual approach to philosophy, which is often resistant to strict logical analysis. On the other hand, Analytic philosophy is usually focused on rigorous argumentation and precise language. It's as if Continental philosophy treats philosophy as a poetic insight into deeper reality while Analytic philosophy treats philosophy as a form of science.
It seems to me that you need a certain kind of creativity within philosophy to come up with new problems and solutions. For example, Kant had to be fairly creative to respond to Hume's problems. I mean, most of us probably wouldn't even consider the view that our mind creates space and time as even a possibility.
However, it also seems like you need rigorous argumentation and a thorough reasoning process to be able to argue for and against different positions. An example could be how Wittgenstein pointed out how certain questions are so damn tricky to answer due to a lack of clear definitions. Like, what does it even mean to ask: "What is the meaning of life?" Meaning often refers to what words mean or some feeling of purpose, so it's quite tricky to flesh out the question thoroughly.
So, my problem is which should be preferred and why. Or should we perhaps try to combine the two? I'm just having trouble reasoning thoroughly through proper argumentation while being creative with the questions and answers I present.
I'd appreciate any answers and please correct me if I misstated or left something important out when it comes to describing Analytic and Continental philosophy. Also, sorry for my bad grammar.