…affirmation of affirmation against that famous negation of the negation.

Affirmation turns back on itself and repeats or reproduces itself. The eternal return is this highest power, the synthesis of affirmation which finds its principle in the will. The lightness of that which affirms against the weight of the negative; the games of the will to power against the labour of the dialectic; the affirmation of affirmation against that famous negation of the negation. (186)

The nonidentical is not to be obtained directly

The nonidentical is not to be obtained directly, as something positive on its part, nor is it obtainable by a negation of the negative. This negation is not an affirmation itself, as it is to Hegel. The positive which, to his mind, is due to result from the negation has more than its name in common with the positivity he fought in his youth. To equate the negation of the negation with positivity is the quintessence of identification; it is the formal principle in its purest form. (158)

…to extinguish it in the very negation of negation that will not become a positing

It is a critique of the fact that critique itself, contrary to its own tendency, must remain within the medium of the concept. It destroys the claim of identity by testing and honoring it; therefore, it can reach no farther than that claim. The claim is a magic circle that stamps critique with the appearance of absolute knowledge. It is up to the self-reflection of critique to extinguish that claim, to extinguish it in the very negation of negation that will not become a positing. (406)

The false genesis of affirmation

The false genesis of affirmation, which takes the form of the negation of the negation and is produced by the negative, is substituted for the complementarity of the positive and the affirmative, of differential positing and the affirmation of difference. (268)