数学究竟是什么？

What Mathematics Actually Is?

研究数学是什么,我们必须多层次、多学科、多角度地对它进行探索。首先考察著名的哲学家和数学家以及由他们所领导的研究机构和学术团体在数学发展的各个历史阶段的不同层面上,就数学的研究对象和发展前景而提出的数学观。其次是研究他们以数学的周边学科为视角来剖析数学的诸特点而提出的一些数学观。将其融汇贯通,即可获得关于数学真谛的深刻见解。

Studying ＂What mathematics actually is？＂,We must explore it from many layers, courses and engles. First, study the outlooks on mathematics put forward by mathematicians and philosophers who do this from the directions and prospect of mathematics studying, at different layers of mathematics＇ development in all periods of history. Then, study some outlooks on mathematics put forward by them who dissect trait of mathematics by using courses around mathematics as an angle of view. We can reach a deep going view of mathematical essence through a comprehensive study of the subject.