数学是确实存在的。数学是人类与生俱来的一种能力,就和语言能力、艺术能力或宗教信仰一样是人的本性的一个组成部分。时至今日,数学对科学和社会的影响非常之大(但人们对此往往不知不觉)。已经有了一百多年历史的抽象数学概念,曾在促成改造我们的通信方式和思维方式的电子学革命之类的方面起过巨大作用。如果没有“纯”数学的无数成果, Mathematics does exist. Mathematics is an innate ability of human beings, and is an integral part of human nature, just like language ability, artistic ability or religious belief. Nowadays, mathematics has a great influence on science and society (but people often do not know it). The abstract mathematical concept, which has existed for more than a century, has played a huge role in such things as the electronics revolution that has revolutionized the way we communicate and think things. Without countless achievements in “pure” mathematics,