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29 Cardozo L. Rev. 1877 (2007-2008)
The Three Negations

handle is hein.journals/cdozo29 and id is 1899 raw text is: THE THREE NEGATIONS

Alain Badiou*
As you know, for Carl Schmitt, the very essence of politics is to
clearly distinguish between friend and enemy. But finally, the difficult
question is the relationship between the two, precisely when the
distinction is clear. Even in the case of war, the question of this
relationship is a complex one. And this complexity is the complexity of
the action of negativity. For example, in a foreign war, you must often
destroy the forces of the enemy, and destruction is certainly the most
radical form of negation. But in many civil wars, it is unclear whether
the goal is to destroy the enemy, which is a part of your country, or only
to dominate it, like in the class struggle, for example. In this case, the
negation of the enemy is not in the radical form of destruction, even if
civil wars can sometimes be more bloody and cruel than foreign wars.
Another example: You can know that a country is your enemy,
sometimes in a strong sense, and nevertheless be allied to this country
against another enemy more dangerous in the pure present, even if the
first enemy is more dangerous in the future. Tactically, during World
War II, Germany was the principal enemy of the United States. So the
United States was an ally of the Soviet Union against Germany. But in
fact, strategically, the Soviet Union was a more important enemy of the
United States than Germany. You have here a very complex political
sequence, where a very strong negation is involved, and in some sense,
dominated by a weaker negation.
But, what exactly is the difference between two or more negations?
Is it possible to negate more or less? Is not negation the clearest
example of something absolute? After all, it is the sense of the famous
principle of non-contradiction.  If I say the proposition P, I say
something absolutely different from the proposition non-P, that is: if the
first is true, the second is false. We see here that a concrete political
problem can only be formalized in a new logical framework, where the
word negation has different meanings, and where the relationship
between negation and affirmation can be exposed in different ways.
* tcole Normale Sup~rieure, Paris; Distinguished Visiting Fellow, Cardozo Law School.
Amongst Badiou's most recent books in English are BEING AND EVENT (2005), POLEMICS
(2006), and THE CENTURY (2007).

1877

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