system
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human
What does Nietzsche mean by the Death of God, the Will to Power, and the Ubermensch?

I’m new to Nietzsche and this is my understanding of his philosophy based on internet browsing and a tiny bit of reading:

1. Nietzsche believes that not only is it possible to not believe in God—the Enlightenment has shown that we can create consistent moral systems without God (based on rationality)—but also that it is impossible to believe in God—science, (e.g. Darwinism) has definitively proven that man is part of nature. This idea is summed up in the phrase: “God is dead” (The Gay Science).

2. If it is true that there is no Christian God who made all people equal in spirit, then a form social Darwinism rules (unlike Darwinism, Nietzsche emphasizes survival of the fittest based on creative capacities rather than physical) in which there are natural masters and natural slaves. Moreover, if human dignity/purpose is not derived from God, we must create it for ourselves (“believe in man” Genealogy of Morals) or fall into nihilism. This idea is summed up as the Will to Power.

3. Finally, humanity must create a human-centered and life-affirming system of master morality to replace Christian slave morality. The one who creates this moral system is the Ubermensch-himself a godlike being who can transcend the apparent philosophical and intellectual limits of humanity itself.

Questions:
1. Is this a correct interpretation of Death of God, The Will to Power, and the Ubermensch?
2. Are there any other reasons why Nietzsche does not believe in God?
3. Does Nietzsche believe there is a fundamental difference between humans and animals? If so, would this difference be the Will to Power and/or humans’ desire for purpose?
4. Is the ubermensch a paradox?
gpt
>1. Is this a correct interpretation of Death of God, The Will to Power, and the Ubermensch?

No, not really. 

The Death of God is when God can no longer operate as the background principle that gives the final justification and grounds for everything. The stuff about morality and science isn't directly relevant, there's no evidence Nietzsche read a word of Darwin for instance. 

A society structured around master and slaves doesn't come about because of the Death of God, this has always been how society is structured for N. One of N's fear is that we might actually be travelling towards a masterless society where we are all slaves. 

N doesn't think 'humanity' must create anything. N is a fundamental anti-universalist. He's not troubled at all by the existence of slave morality, he thinks that slaves should follow slave morality, he is troubled by the idea that higher men are ending up following slave morality instead of master morality, or a higher better ideal based on the transvaluation of all values.