So for Knowledge vs. Thought, it's kind of similar to "resting on one's laurels" versus "working up new things to know?" Is it kind of like Ability vs. Desire in that regard?
Would you say that for Expectation vs. Determination, the idea of "Using Causes to predict Effects" vs. "Using Effects to guess Causes" makes sense? That's kind of how I've been rationalizing it. I suppose from there, Determination uses these determined Causes to try and instigate new Effects, right?
I... don't really like that example. I mean, yeah, it uses the words how we think about them, but to be honest, I've never really been a fan of the words, anyway. When I think about the Purpose, I think about what matters to them. Which is more important: the world around them, or just themselves? The way things actually are, or just how they appear? When I think of Motivation, though, I think about how the character acts. Do they prefer to Pursue what they want, or do they try to Avoid conflict? Do they Support others or Oppose them? When you combine them, it might make more sense. You can Pursue because you are Aware, or you can Avoid because you're Self-Aware. You can Support people's Perceptions, or you can Oppose them to force Actuality. Or Pursue Actuality and Avoid Perception or Support greater Awareness and Oppose to create Self-Awareness. Or... you know what, there are a lot of combinations. XD
Since Motivation is the one we talk about the most, that's the one I usually think of as the Role the character plays. The Uncontrolled one, the Hinderer, the Conscience. The Purpose, on the other hand, is their Ideal. So you have the character who believes in Change, or fights for Inequity, or sees a Projection as most valuable. Remember, the Change character isn't necessarily capable of changing anything. It's only by how they actually attempt to bring about Change which reveals their Motivation. (Or Role, as I said previously.) They can Avoid fixing things, confident that Change will come that way, or maybe they try Tempting people to make the Change they want.
Is that a little clearer, maybe? For the example of the President, it's not terribly clear what their Purpose or Motivation is. Why do they want to become President? To create Order? To fulfill a Speculation they've had? Because they have the Ability? That's the Purpose in a purely narrative mindset. The Motivation is probably Pursue, since they're Pursuing a goal. He is motivated by his Pursuing to reach his Purpose of Order or Speculation or Ability. His Motivation is his need to Pursue.