There are entire fields ofmathematics where numerical manipulation is peripheral: logic and geometry, for example.
在数学学科的很多的领域中算术只是起到次要作用，例如逻辑学和几何学。
2
By following the internal logicofmathematics, a mathematician discovers timeless truths independent of human observation and free of the transient nature of physical reality.
追随数学内在逻辑的脚步，数学家可以超越人类观察的局限，脱离客观存在的暂态，而发现永恒的真理。
3
Say a personal learning mathematics is to develop a logical ability, I think is inherent logic, not out of things.