Logic is dominant in the West. This was not always the case. Prior to the foundation of the Church, intuitive thinking existed alongside logic as an influence on society. This can be seen in the school of Pythagoras, for example, who taught by means of symbolic imagery and was also noted for his capacity for deductive reasoning.
The adoption of logic by the Church meant that any idea regarded as unconventional was branded a heresy. Intuitive thinking, which is personal and insightful, became associated with the heresies. The severity of the Inquisition hardened attitudes further, and it became dangerous to express unconventional ideas. Intuitive thinking was expressed through arcane symbolism and became secretive and evasive.
Western culture has never really recovered from this. Intuitive thinking is still deemed unconventional and unorthodox, and for that reason it is associated with the subcultures and alternative movements of the West. The East has a different history. It has never had to contend with the assertion of a single, unassailable truth by a governing authority. If Eastern and Western cultures are compared, it can be seen that intuitive thinking is regarded very differently because of this.