The research of the foundations of mathematics falls into three schools of thought: logicism, formalism and intuitionism. They constitute mathematics by means of rationalism and maintain that mathematics is a Euclidean system.

• 数学基础的研究；形成了逻辑主义、形式主义和直觉主义三大学派；其运用理性主义构造数学；认为数学是一个欧几里得系统.