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A power set is the set of all subsets of some given set. The power set of A, labeled P(A), is called a "power set" because the number of members in a power set is calculated thus: if A has n members, the P(A) has 2n members.

For example, suppose A is {1, 2, 3}. P(A) is {ø, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, A}. (Note that in any set, the empty set and the set itself are subsets.)

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What is the Logic and the Philosophy of Language?
The two fields Logic and the Philosophy of Language are often treated separately, but they are nevertheless close enough that they are presented together here. Logic is the study of methods of reasoning and argumentation, both proper and improper. The Philosophy of Language, on the other hand, involves the study of how our language interacts with our thinking.

What is Philosophy?
What is philosophy? Is there any point in studying philosophy, or is it a useless subject? What are the different branches of philosophy - what's the difference between aestheitcs and ethics? What's the difference between metaphysics and epistemology?

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