Are images in the Tractatus isomorphic to facts?

Abstract

The notion of image (Bild) is a fundamental one in the Tractatus. This notion is immediately introduced in the text after the brief ontological section, because it serves to give an account in logical terms of our relationship with the world. The relationship between fact and image is generally considered a relationship governed by a form of isomorphism. Here I want to maintain that it is not a matter isomorphism, but instead of homomorphism.