人生，就是活在两个悬崖之间

Group 1 - The article emphasizes the importance of understanding life as a range rather than a fixed point, suggesting that individuals should focus on defining their life intervals with a midpoint and a radius to manage uncertainty [3][4][12] - It discusses the concept of midpoint (c) representing the core strategy or average, and radius (r) indicating the tolerance for fluctuations or risk [5][7] - The article highlights that a larger radius allows for more experimentation but also brings individuals closer to potential pitfalls [8][10] Group 2 - It illustrates the difference between precise predictions and broader ranges, using the analogy of fishing with a net versus shooting at a target, where broader ranges can lead to more successful outcomes [30][32][34] - The article critiques the common tendency to focus on narrow predictions, which can lead to failure, while advocating for a mindset that embraces uncertainty and broader possibilities [38][41][44] Group 3 - The article introduces the concept of confidence intervals and confidence levels, explaining that a confidence interval is a range where outcomes are expected to fall, while confidence level indicates the reliability of that range [56][59] - It emphasizes the need for individuals to adopt a dual confidence approach: high confidence in qualitative assessments and lower confidence in quantitative predictions [66][92] Group 4 - The article references Warren Buffett's investment criteria, which include setting initial boundaries for company valuations and ensuring high certainty in qualitative assessments while maintaining humility in quantitative growth predictions [67][68][80] - It discusses the importance of understanding the difference between qualitative certainty and quantitative predictions, highlighting the need for a balance between the two in decision-making [97][100] Group 5 - The article concludes with practical applications of the discussed concepts, encouraging individuals to establish a solid qualitative foundation while remaining humble about quantitative goals [106][113] - It warns against the dangers of leveraging and overconfidence, advocating for a focus on maintaining a buffer zone to withstand uncertainties in life [135][140][146]