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)

When Kenossium told the Eleventh Doctor that the Time Lords would have nothing should he place Gallifrey in a pocket universe, he responded that they 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)