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

The phenomenal world, that is the world that we experience must, for example, satisfy the exhumes of Euclidean geometry.

现象世界，也就是我们所感知的世界，必须符合欧几里德几何学的发现。

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

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