There are three different resources in Ascension.
Honor is what determines the winner of the game. Your total Honor includes the Honor on each card in your deck and the Honor tokens you earn during the game.
Power is what you use to defeat Monsters.
Apprentices provide Runes when played, which can be used to recruit Hero and Construct cards during the game. Militias provide another type of resource, Power, which is used to defeat Monsters. Honor is gained both by collecting Hero and Construct cards and defeating Monsters.