Questions on Kant: Space, Time, Categories

[For those who are working on questions on Tuesday: here are the questions for the first half of the reading. I will try to get the rest of the questions done tonight. Note that the first question is worth two points because it is more difficult than the others.]

1. Kant claims that objects of experience (e.g., a dog) can be imagined and have "objective validity" (i.e., refer to real things) because our intuitions are united as possible experiences through the "transcendental schema" of time. What does this mean? [Worth two points.]

2. Even though our intuitions (or representations) change from moment to moment, we can say (as Hume did about different perceptions of the "same" thing) that they resemble or are analogous to one another. How does Kant use this idea of analogy to resurrect the notion of substance?

3. How does Kant appeal to the rule-governed character of our experience of events to argue (against Hume) for the necessary, objective order of nature?

4. Why does Kant think that consciousness of my own existence is intelligible only if external objects exist? And why does he think that this refutes idealism?