Look, when I say there is logic in everything, there is. Even Deadpool, but I don't really care about it since I'm in a GT thread, not a Marvel comic thread.
The meaning of the word Logic stems from the Greek word of logos, which in part has two meanings. The first is to "describes the use of valid reasoning in some activity". The second names the normal study the branch that it being used. It's a lot more than "it makes sense". It doesn't even have to operate within the laws and bounds of our world, which is where you can branch into the hypothetical realm of magic and science and still create an artificial dome of logic in which all things operate on that foundation. All things must operate on a foundation of logic and reasoning where events can be explained to sound normal. It does get difficult with fantasy elements because you are introducing a whole new world in which your normal sphere of reasoning must make adaptations to fit the sphere of fantasy. http://en.wikipedia.org/wiki/Logic
The opposite of logic could be considered a fallacy. A fallacy is something more than "not making sense", it doesn't work or add up at all. It uses poor reasoning to make the case and just isn't true. http://en.wikipedia.org/wiki/Fallacies
Let's take this page for an example. One could argue that there is no logic at all with the ability Chi has just performed. To keep it simply, we are going to focus on the aspect of going through the cell lines and not the physical action of making a clone. Now the person who argues that there is no logic or reasoning found on this page would have been turned off to the entire comic, but this is because their branch of reasoning and logic is focused on the real world. There is no conceivable way that you could teleport into a phone and travel to another country.
Because logic is not being used to adapt the bounds and possibilities of the fantasy elements. Once adapted though, you can find reasoning with it, which is known as LOGIC.
And yes, it does annoy me when you state that not everything runs on logic. True, you do have such elements as chaos (randomness), but even those have a pattern of reasoning under them that explains the odd behavior or actions happening.