Disclaimer: I do not own Yugioh, just the head canons I've written in this short list-fic for fun.
Debate
It was the main reason Critias had gone into politics. Of course, there's the slight drawback that he may love it too much so he went and joined the School of Philosophers as well.
Truth
Set may be one of the individuals in Pharaoh's inner circle whom the courtiers found the least appealing but even he tried to live by the principles of Ma'at.
Similarity
The only reason Prince Alois is often at odds with Christian is because he used to be the same. Not that the older man will ever admit it, of course.
Limits
Why stop when you could push further to surpass yourself? For Seto Kaiba, the idea of stopping was never an option.
Adversary
The Drakon had been fearsome and it would perhaps had been a better idea to summon his monsters to wear it down before he finished it off.
But that was not the path to Glory, so Critias did it single-handedly.
Duty
There would be times when Set would chafe at his trappings of power, times when he'd reminisce and wish it was back to the times when he was High Priest of Thoth.
But his duty towards Egypt still took precedence.
Principles
Christian had never agreed with Richard's method to gaining Crawford's allegiance but also didn't have enough pull to get the boy moved elsewhere, or even freed.
So he settled for making sure the man's son remained safe.
Enemy
Like a dragon, Seto Kaiba as your enemy was something to be avoided without question.
Arrogance
The gods suffer arrogance in no one other than themselves. It's usually very off-putting.
However, they tend to look the other way if the upstart can back up it up with actions.