Final answer:
Hippocrates and Galen are the two men most influential in the development of the humoral theory of disorders.
Step-by-step explanation:
The two men most influential in the development of the humoral theory of disorders are Hippocrates and Galen. Hippocrates, often referred to as the 'father of Western medicine', believed that diseases had natural causes and wrote extensively on medical topics. Galen, a Greek physician who lived during the Roman Empire, built upon Hippocrates' ideas and further developed the theory of the four humors.