(1) anti-scientism: Badiou’s use of ZFC set theory, and later of category theory, is not a scientific “imposture”, in the sense of Sokal and Bricmont, but it is scientifically tangential. It does not carry forward, or elucidate, the discipline it borrows from. Badiou wishes to avoid Althusser’s scientism, but is unable to break with it completely. This objection applies equally to Laruelle’s use of “the quantum”.
(2) anti-authoritarianism: Both Laruelle and Badiou attempt to ground their system of ideas on a scientific reference that functions as a form of intimidation and legitimation of intellectual authority, despite constantly talking about equality and democracy. I think these concepts can be given even more importance so as to deconstruct from within the scientistic remnants.
(3) anti-literalism or allegorical ontology: An ontological use of ZFC set theory , or of quantum physics, is almost inevitably allegorical, unless one is limiting oneself to one dimensional commentary on a regional ontology. Badiou has occasionally stateded that his use of mathematical concepts is metaphorical. So much the better, as he is at his most interesting when he is at his most allegorical. The same can be said for Laruelle, who separates his quantum concepts from their mathematical formalism.