How to get started with philosophy without getting overwhelmed quickly?
What is a good book (Or online resource) that introduces Philosophy and the methods of Philosophers, not by example only, but also with clear statements of what is being done?
I am reading a book on Philosophy of Science, and I understood the idea of Inductivism, and how Hume disregarded it as a real (actual) justification for science; but then, I was (briefly?) introduced to 10 arguments of why we should consider it as "working" (i.e. providing a justification). When that happened, I found myself bombarded with arguments that I mostly couldn't comprehend (either did not understand or they seemed unconvincing).
I'm not interested in a book that tells me to argue, and shows me some arguments. I'm interested in a book that clearly illustrates how a philosopher does Philosophy. That would be more convenient and more helpful. In my case, I have short time to finish the book on Philosophy of Science, and so I want to be able to do it with some clarity.