Logic

Logic, according to the Time Lord Astrolabus and the Lord of Life Voyager, was "a new toy". It claimed that the world had no end and that the Earth was round. The material existence of the edge of the universe proved that even in the Doctor's era, logic was not all-encompassing. (COMIC: Voyager)
The Cyber-tomb on Telos was based on symbolic logic. (TV: The Tomb of the Cybermen) During the Battle of Canary Wharf, when the Cybusmen found themselves in a vocal loop with the Cult of Skaro, they deemed the situation illogical and demanded that the Daleks modified their speech. (TV: Doomsday)
The Second Doctor told Zoe Heriot that logic merely enabled one to be wrong with authority. (TV: The Wheel in Space)
According to the Sixth Doctor, the only logic in the Matrix was that there was not any logic. (TV: The Ultimate Foe)
In the 40th century, the android Mark Seven's emotion circuit was subservent to his relentless logic. (AUDIO: The Destroyers)
During the Dalek-Movellan War, the Daleks rebuilt themselves into quasi-robotic entities to better understand the Movellans, coming to rely solely on logic to make their decisions. (PROSE: Dalek Combat Training Manual) As the Movellans equally slaved their decisions to pure logic, this led to a deadlock, the battle computers of both sides unable to outmaneuver the other. (TV: Destiny of the Daleks) The Daleks eventually responded to this by reintroducing organic matter into themselves, allowing them to make small gains in battle. Deducing that this deviation from total logic meant that the Daleks were organic creatures, the Movellans developed a virus to destroy their foes. (PROSE: The Astounding Untold History of the Greatest Enemies of the Universe)