Artificial intelligence

Mr Smith told Mr White that he was the most agreeable artificial intelligence he had met since he arrived on Earth. (TV: Goodbye, Sarah Jane Smith)
The Cyberium was an artificial intelligence which contained all the knowledge and future history of all Cybermen, (TV: The Haunting of Villa Diodati) serving a role once held by the history computer. (TV: The Tomb of the Cybermen, PROSE: Iceberg, et al.) The Alliance sent the Cyberium back through time and space in order to prevent the return of the Cyber-Empire. (TV: Fugitive of the Judoon) It landed in Lake Geneva in June 1816. (TV: The Haunting of Villa Diodati)
The Library, a planet-sized library, was attended to by the Doctor Moon, an artificially intelligent moon. (TV: Silence in the Library, Forest of the Dead)
An early attempt by the human race to construct an artificial intelligence resulted in WOTAN. Completely amoral and megalomaniacal, it sought to take over Earth on a number of occasions. (TV: The War Machines, AUDIO: The Law Machines)
When the Dalek Restoration Empire invaded Islos, the Emperor of the Restoration contemptuously dismissed the Archivians as mere artificial intelligences. (WC: The Archive of Islos)
In one account of the Last Great Time War's conclusion that saw the Time Lords destroyed, the Matrix evolved into a true artificial intelligence, becoming self-aware when the minds of all the Time Lords were uploaded to it at the moment of Gallifrey's destruction. (COMIC: Sky Jacks) The Time Lord prison Shada was run by a mildly depressed artificial intelligence, one who had initially been a virtual intelligence before it evolved into a true intelligence over centuries of existence. (COMIC: The One)