Is 'information' a thing? In a nutshell, I think of "information" as a name that points to a concept, which reffers to a property that objetcs might have. That being said, a given object may or may not carry it. It is similar to the concept of "size". If I point to the outer world, I can say that a horse has a size, but an unicorn does not, as it is not an object of the senses. At a glance, the concept of information, although not a thing, has more capilarity than the concept of size. It is interesting to notice that once brought up, the concept of information cannot rule out the concept of size, as well. If I start my thoughts from a rational standpoint, and I turn myself to the field of geometry, I will find possible to state that the "point" has no dimensions. But the "point" is something different than the rest of the space that lies around it, so it carries distinct information. But, if it is true that it carries information, the information, by what we know of it, might have its size measured.
Not sure if there are good philosophical puzzles about the name, the concept or the property that "information" has. If there are, I would be glad to try them out