How can I create a new object in the Outliner? How can I create a new object in the Outliner?
I'm using Blender for the first time and im watching this tutorial video.
https://www.youtube.com/watch?v=v_X9v29i-Iw 
As you can see in 1:16 min in the video, the guy adds a cylinder.

If I add this cylinder, it doesn't appear as a new object in the outliner.

It's a problem because I used the Subdivision Surface tool on the body
The cylinder that I add there has the subdivision surface tool as well then... and it's not a cylinder anymore...

If I want to remove the subdivision tool, the body doesn't have it either then.
You have to be careful in witch mode you add a new object. If you are in object mode you add the new mesh as its own object and you can see it in the outliner as its own item with its own modifiers, etc. but if you are in edit mode inside another object and you add the new mesh in edit mode it becomes part of the geometry of the object you are in edit mode of sharing that objects texture, modifiers, etc.