There is a first, false idea that needs to be set aside, which is that the philosopher can speak about everything. This idea is exemplified by the TV philosopher: he talks about society’s problems, the problems of the present, and so on. Why is this idea false? Because the philosopher constructs his own problems, he is an inventor of problems, which is to say he is not someone who can be asked on television, night after night, what he thinks about what’s going on. A genuine philosopher is someone who decides on his own account what the important problems are, someone who proposes new problems for everyone. Philosophy is first and foremost this: the invention of new problems.
–Alain Badiou. 2009. in conversation with Slavoj Zizek, Philosophy in the Present