Final answer:
Wittgenstein believed that philosophers should critically engage with popular culture, as philosophy requires critical examination of worldviews and reflective thinking. Philosophers aim for comprehensive understanding and critique, aware of their own cultural and historical context.
Step-by-step explanation:
Wittgenstein felt that a true philosopher should critically engage with popular culture, rather than simply embracing, being indifferent to, or outright rejecting it. Philosophers are tasked with examining the world and the prevailing worldviews with a critical eye, much like considering and reflecting on one's emotional responses to engage in metacognition, as mentioned in the guidance on thinking like a philosopher.
The practice of philosophy demands an understanding of concepts, the relationship between them, and a comprehensive exploration of various topics to understand the world and our place in it.
Wilfrid Sellars states that philosophy aims to explain the world coherently while making sense of what the sciences tell us. Through critical engagement, philosophers aim to better understand cultural relativism and recognize their philosophical perspectives' historical and cultural contexts.