Know Something in Mind: Mathematical Thinking in Life

Do you think that a system of equations with no solution really has no solution? Wittgenstein said: "Mathematics is a variety of techniques of proof." How to use mathematics to re-verify our lives? It can be as small as why the rice cooker won't burn the bottom, or what to do if the chopsticks can't pick up peas; as big as how to get along with others better, or how to choose your own career. These seemingly unrelated questions actually contain profound mathematical thinking. The law of large numbers where diligence can make up for failure, the sparse concept of weighing pros and cons, the conditional independence that seems to be inconsistent, the numerical solution that strives for excellence, the least squares method that embodies the golden mean... The wisdom behind mathematical formulas and algorithms helps us see the world better, and provides a more scientific perspective when encountering problems, helping us make better decisions. The final results of many things are unpredictable, but we can improve the probability of this result happening through our efforts. "Knowing It in Mind" teaches you to quickly and deeply analyze the "pros and cons" of things just like a computer processor. Under the premise of accepting imperfections, you can use mathematical thinking to weigh the interests of multiple parties and find the best solution point. Life is actually a process of constantly searching for the optimal solution. I hope you "know it in your heart" and do it well.