Their Oath, corresponding with the Lawful side of the law/chaos axis, should be some sort of self-imposed restriction. Examples include "always follow the law of the land", "never turn down an invitation to duel", or "never disobey an order from a superior officer".
Their Whim, corresponding with the Chaotic side of the law/chaos axis, should be some sort of natural short-term impulse. Examples include "stop and smell the roses", "try to make people happy", or "value shiny objects".
Their Conscience, corresponding with the Good side of the good/evil axis, should be something you consider to be a 'good tendency'. No need to systematize it! Use your best judgement and be honest. Examples include "protect my family", "be as fair as possible", "be merciful to the helpless".
Their Temptation, corresponding with the Evil side of the good/evil axis, should be something you consider to be an 'evil tendency'. Like above, use your best judgement! Examples include "torturing people is OK when they deserve it", "all elves are bastards", and "stealing isn't wrong".
Their Goal, corresponding with general neutrality, should be a rational medium-term or long-term objective. Examples include "become rich", "sire a family", and "avenge my father's death".