Translation of "Foundation" in Chinese

The rumor was without foundation.

謠言是毫無根據的。

Mathematics are the foundation of all sciences.

数学是所有科学的基础。

It is important to strengthen the foundation.

基礎的穩固是很重要的。

- Mathematics is basic to all sciences.
- Mathematics are the foundation of all sciences.

- 数学是所有科学的基础。
- 數學是所有科學的基礎。

- There is no scientific basis for these claims.
- These claims lack a scientific foundation.

這些主張沒有科學的根據。

The truth and simplicity of nature is always the most important foundation of noteworthy art.

大自然的真实和质朴往往是值得注意的艺术中最重要的基石。