The main points I would like to discuss are how Alexander combined several interests in the Asian campaign he inherited from his father Philip II; on one side, the political and military interest, focused on the conquer not only of the Persian Empire, but also, once this was done, of the totality of the world. In this sense, the title resumes what Arrian (The Anabasis of Alexander, V, 26, 2) quotes from Alexander just before the mutiny of his troops forbid him from continuing his expedition. Nevertheless, that objective, regardless of what could been thought when considering the full extensio of his work, was not part of the enterprise's original design, but it was something that little by little Alexander began to consider possible once he experienced the profound internal weakness of the Achaemenid Empire. But together with the political design, Alexander also had an enormous cultural curiosity deriving without doubt of the training received from the teachings of one of the most notable figures in Greek science, Aristoteles, and in many occasions, this curiosity was equal to his political interest. this explains why, once his main enemies were defeated, the Macedonian king decided to continue the expedition to a large extent with the aim if confirming the existing theories about the configuration of the inhabited world and about the intercommunication of the seas and the ocean. Alexander the Great combines like few the main traits that this series of conferences will explore: conqueror, explorer, and tireless traveller.