I've never read a definition of philosophy that satisfied me. I guess your approach is as good as any.

But I do have to say I disagree with your criticism of those philosophers who want to prove stuff. Look at it historically: the ancient Greeks wanted to prove stuff all the time. Philosophy is filled with arguments and logic. It's why all lawyers take at least a couple classes on it. I don't understand what philosophy would be without these things. Poetry? Literature? The things you say are exactly the things some scientists say when they want to ridicule philosophy, because they think it's just people arguing about things that no one can know, just spend their time in French bistros sipping coffee and talking nonsense for 2000 years without reaching any conclusions.

My opinion of philosophy is radically different. Philosophy has created most of the sciences we know. Philosophy can prove things, like the non-existence of free will for instance, and when coupled with proofs from science it becomes that much stronger, because the methodologies are entirely different.

I also, like you, identify myself with philosophy like we're one thing! So I understand your 'way of being/life/attitude' approach. But without logic, there's nothing to stop you from just talking nonsense all the time, saying something and then unsaying it while saying you said the same thing, something like an Alice in Wonderland completely absurd world.

In general, when we look toward what philosophy is, I guess the most objective way to go about it to ask what it is that philosophers do. Just like if you wanted to understand what medicine is, you'd check what it is doctors do. Philosophers are clearly trying to understand reality, prove things, drive toward a conclusion, argue their case. This is history. We may not be able to offer a definitive definition of philosophy, but we know it when we see it. If you give me papers from chemistry, biology, history, music, physics, and philosophy, I'll be able to tell you which ones are philosophy papers, even if you hide the title and journal etc. So clearly we know what philosophy is, practically speaking.