MIRANDA
If by your art, my dearest father, you have
Put the wild waters in this roar, allay them.
The sky, it seems, would pour down stinking pitch,
But that the sea, mounting to the welkin's cheek,
Dashes the fire out. (1.2.1-5)
When Prospero uses his magic to orchestrate the storm that shipwrecks his enemies, it's as though the entire island is a stage, don't you think?
Quote 2
MIRANDA
I might call him
A thing divine, for nothing natural
I ever saw so noble. (1.2.498-500)
Miranda suggests that only the world of the court can breed nobility. She denies that nature has its own nobility and grace, and likens the world she doesn't know (that of the court) to the divine world, perhaps because they're both alien to her and might as well be the same thing.
MIRANDA
Abhorrèd slave,
Which any print of goodness wilt not take,
Being capable of all ill! I pitied thee,
Took pains to make thee speak, taught thee each
hour
One thing or other. When thou didst not, savage,
Know thine own meaning, but wouldst gabble like
A thing most brutish, I endow'd thy purposes
With words that made them known. But thy vile
race,
Though thou didst learn, had that in 't which good
natures
Could not abide to be with. Therefore wast thou
Deservedly confined into this rock,
Who hadst deserved more than a prison. (1.2.422-436)
Some editions of the play attribute this rant against Caliban to Prospero. Others assign the speech to Miranda. Either way, the point is pretty clear. Here, the speaker suggests that because Caliban had no language of his own when Prospero and Miranda arrived on the island, he somehow deserves to be a slave "confined into this rock." Scholars often point out that this is the same kind of rationale European colonizers used to enslave new world inhabitants.