Frege's construction was flawed. Russell discovered that Basic Law V is inconsistent (this is Russell's paradox ). Frege abandoned his logicist program soon after this, but it was continued by Russell and Whitehead . They attributed the paradox to "vicious circularity" and built up what they called ramified type theory to deal with it. In this system, they were eventually able to build up much of modern mathematics but in an altered, and excessively complex form (for example, there were different natural numbers in each type, and there were infinitely many types). They also had to make several compromises in order to develop so much of mathematics, such as an " axiom of reducibility ". Even Russell said that this axiom did not really belong to logic.
East Asian philosophical thought began in Ancient China , and Chinese philosophy begins during the Western Zhou Dynasty and the following periods after its fall when the " Hundred Schools of Thought " flourished (6th century to 221 BCE).   This period was characterized by significant intellectual and cultural developments and saw the rise of the major philosophical schools of China, Confucianism , Legalism , and Daoism as well as numerous other less influential schools. These philosophical traditions developed metaphysical, political and ethical theories such Tao , Yin and yang , Ren and Li which, along with Chinese Buddhism , directly influenced Korean philosophy , Vietnamese philosophy and Japanese philosophy (which also includes the native Shinto tradition). Buddhism began arriving in China during the Han Dynasty (206 BCE–220 CE), through a gradual Silk road transmission and through native influences developed distinct Chinese forms (such as Chan/ Zen ) which spread throughout the East Asian cultural sphere . During later Chinese dynasties like the Ming Dynasty (1368–1644) as well as in the Korean Joseon dynasty (1392–1897) a resurgent Neo-Confucianism led by thinkers such as Wang Yangming (1472–1529) became the dominant school of thought, and was promoted by the imperial state.