Nonetheless, in the mid-18th century, Leonhard Euler wrote what he admitted to be a paradoxical equation: 1 − 2 + 3 − 4 + ⋯ = 1 4 . {\displaystyle 1-2+3-4+\cdots ={\frac {1}{4}}.} A rigorous explanation of this equation would not arrive until much later.
不过，在18世纪中期，莱昂哈德·欧拉写出了一个他承认为悖论的等式： 1 − 2 + 3 − 4 + ⋯ = 1 4 {\displaystyle 1-2+3-4+\cdots ={\frac {1}{4}}} 该等式的严谨解释在很久以后才出现。