DivisionType: Informal Fallacy
The object O has the property P.
The universe has existed for fifteen billion years.
People are made out of atoms.
Some properties are such that, if a whole object has the property, then all of its parts will, toofor example, invisibility. However, not all properties are like thisfor instance, visibility. Let's call a property which distributes from a whole object to each of its parts a "dissective" property, using Nelson Goodman's term. If P is a dissective property, then the argument form above is validating, by definition of what such a property is. However, if P is not dissective, then the argument form is non-validating, and any argument of that form commits the fallacy of Division.
Sibling Fallacy: Composition
Thomas Mautner (Editor), A Dictionary of Philosophy (Blackwell, 1996).