What theory did Laozi and Zhuangzi represent in China's traditional ideology and culture?

in China's traditional ideology and culture, Laozi and Zhuangzi represent the Taoism.

Confucius, Mencius and Xunzi represent Confucianism;

Mozi represents Mohism;

Sun Tzu, Wu Qi, Sun Bin, etc. represent the military theory;

Han Feizi represents Legalism;

Gongsun Longzi, Keiko (Hui Shi) and others represent the theory of famous scholars;

Zou Yan and others represent the peasant theory;

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