Hope

Hope was an emotion which the Twelfth Doctor claimed was hard to resist. (TV: The Eaters of Light)

The First Doctor believed that all beings experienced fear, but that they experienced hope soon afterwards. (TV: An Unearthly Child)

The Thirteenth Doctor called herself a doctor of hope, among other things. She felt that hope could always be found, and solutions imagined, even in dire circumstances. (TV: The Tsuranga Conundrum)

After the death of Lucie Miller, the Eighth Doctor found himself looking for hope. (AUDIO: The Great War)

The Seventh Doctor once told Bernice Summerfield that one of the things he feared was the point at which there was no hope left. (PROSE: The Pit)

While the Tenth Doctor conceded to Cyber-Leader One that emotions were an ultimately destructive flaw, he retorted that he "quite like[d]" hope, calling it a "good emotion" as he indicated to the Cyber-Leader that it was coming. Indeed, as soon as the Doctor spoke, Jake Simmonds and the Preachers arrived from Pete's World and terminated the Cybermen holding the Doctor captive. (TV: Doomsday)

According to the Moment, the noise that the Doctor's TARDIS made brought hope to whomever heard it. When the Eleventh General told the Eleventh Doctor that the Time Lords would have nothing should Gallifrey be placed in a pocket universe, the Doctor responded that his people would have hope, something which they currently did not possess. (TV: The Day of the Doctor)

A common phrase was "while there's life there's hope." (TV: The Tenth Planet, The Dæmons, The Monster of Peladon, Planet of the Spiders, Warriors of the Deep, PROSE: Set Piece, Deadly Reunion, The Assassin's Story, The Glass Princess, AUDIO: Terror Firma, The Whispering Forest) The Fourth Doctor once mangled it into "while there's life there's six of one and half a dozen of the other." (TV: Logopolis)

In March 2005, a tribute for Clive was put up on his website, where it was mentioned Clive had many dreams and hopes of uncovering the truth. (PROSE: Dummy Massacre)

Madame Kovarian's intent behind the genetic manipulation of the Melody Pond was to create a weapon that could provide hope in an "endless, bitter war". (TV: A Good Man Goes to War, The Time of the Doctor)