In The Differend, based on Immanuel Kant's views on the separation of Understanding, Judgment, and Reason, Lyotard identifies the moment in which language fails as the differend, and explains it as follows: "...the unstable state and instant of language wherein something which must be able to be put into phrases cannot yet be… the human beings who thought they could use language as an instrument of communication, learn through the feeling of pain which accompanies silence (and of pleasure which accompanies the invention of a new idiom)".
Lyotard develops this view of language by defining "reality" in an original way, as a complex of possible senses attached to a referent through a name.
Lyotard uses the example of Auschwitz and the revisionist historian Robert Faurisson’s demands for proof of the Holocaust to show how the differend operates as a double bind.
Faurisson argued that "the Nazi genocide of 6 million Jewish people was a hoax and a swindle, rather than a historical fact" and that "he was one of the courageous few willing to expose this wicked conspiracy".
[3] The case is a differend because the harm done to the victims cannot be presented in the standard of judgment upheld by Faurisson.