This quote uses a unique metaphor to express an unconventional perspective on logical proofs. The comparison is between a well-bred girl looking at a love letter and a person looking at logical proofs. A well-bred girl, in the traditional sense, is expected to be cultured, refined, and sophisticated. She would approach a love letter with a sense of curiosity, excitement, and anticipation, but also with a degree of skepticism, caution, and critical thinking. She would not accept it at face value but would scrutinize it carefully, reading between the lines, trying to understand the true intentions and emotions behind the words.

Similarly, the quote suggests that we should approach logical proofs with a similar attitude. While they may seem appealing and convincing at first glance, we should not accept them blindly. We should critically analyze them, question their assumptions, and try to understand the underlying principles and motivations. Just as a love letter can be misleading or deceptive, so can logical proofs. They might be based on flawed premises, biased perspectives, or hidden agendas.

In today’s world, this idea is highly relevant. We are constantly bombarded with information, arguments, and claims that are presented as "logical" or "scientific". However, not all of them are reliable or trustworthy. We need to develop our critical thinking skills to evaluate these claims, discern the truth, and make informed decisions. This is especially important in areas such as politics, media, and education, where misinformation and manipulation are rampant.

In terms of personal development, this idea encourages us to be more thoughtful, discerning, and independent thinkers. It reminds us that we should not just passively accept what we are told, but actively engage with it, question it, and make our own judgments. It cultivates a mindset of curiosity, skepticism, and intellectual rigor, which can contribute to our growth and maturity as individuals.