Incurious means 'not interested in knowing' whereas insensitive means 'lacking feeling or respect'. If we forget how much we don't know, we will not be able to respect phenomena we know little about. So insensitive, which conveys the meaning of a lack of wonder, is the right word in this context. Precarious means uncertain whereas impertinent means brash or rude. If one too strongly believes in theological precepts, he or she will develop an attitude of false certainly and will be rude and close-minded towards new knowledge. So impertinent is the right word for the second choice. Factual means 'fact-based' but it may not mean correct. On the other hand, indubitable means 'indisputable' or 'completely correct'. The author wants to convey the idea that we should not persuade ourselves that we have found 'perfect' answers to philosophical questions.
So, the correct answer is ABB.