Kant and all these others had assumed that geometry does give us pure insight into the way the world is.

康德和其他所有这些哲学家都曾以为，几何学使我们得以洞悉世界存在的方式。

youdao

Geometry - the idea of ideal forms existing outside the physical world.

几何学——存在于物质世界之外的理想形式的概念。

youdao

The math of the time could deal with a changeless, ideal world - consider the principles of geometry - but not with motion.

当时的数学可以对付一个一成不变的理想世界——想想几何原理，但没有考虑运动。

youdao

Using geometry to describe the world is not new.

ECONOMIST: A shape could describe the cosmos and all it contains

According to Reviel Netz, a classicist at Stanford University who is working on the palimpsest, the original uncorrected diagrams suggest that Archimedes was more concerned with the mathematical arguments his geometry gave rise to than with the real-world behaviour of the objects he wrote about.

ECONOMIST: The Archimedes palimpsest