第 5 条 · 代数作为数学基础

From this it appears, that all magnitudes may be expressed by numbers; and that the foundation of all the Mathematical Sciences must be laid in a complete treatise on the science of Numbers, and in an accurate examination of the different possible methods of calculation.

由此可见，一切量都可以用数表示；全部数学科学的基础，必须放在完整的数的学问上，也就是仔细考察各种可能的计算方法。

This fundamental part of mathematics is called Analysis, or Algebra.

数学的这个基础部分，称为分析，也称为代数。