St. Anselm believes that the least of our sins puts us in an infinite debt to God and is infinitely bad. Anselm's own argument for this thesis is uses some implicit premises. Here is my best reconstruction:
- (Premise) To sin is to oppose the will of God.
- (Premise) If it is not permissible to do A in order to preserve a good G, then A is at least as bad as the loss of G.
- (Premise) It is not permissible to oppose the will of God "even to preserve the whole of creation", even "if there were more worlds as full of beings as this", and even if "they increased to an infinite extent".
- (Premise) The badness of the loss of the whole of creation if the whole of creation consisted of planets as full of beings as Earth and increased to an infinite extent would be infinite.
- (Premise) If something is at least as bad as an infinite bad, then it's infinitely bad.
- To oppose the will of God is at least as bad as something infinitely bad. (2, 3 and 4)
- To oppose the will of God is infinitely bad. (5 and 6)
- Every sin is infinitely bad. (1 and 7)
- (Premise) To do something infinitely bad puts us in infinite debt.
- Every sin sin is infinitely bad and puts us in infinite debt. (8 and 9)
