| 1. | Set theory is also a promising foundational system for much of mathematics.
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| 2. | Cardinality is studied for its own sake as part of set theory.
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| 3. | Other than its application to the frequency ratios of musical set theory.
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| 4. | The axiom of power set appears in most axiomatizations of set theory.
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| 5. | Step 4 is the only step invalid in a consistent set theory.
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| 6. | The concept of inversion also plays a role in musical set theory.
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| 7. | Pure set theory is one of the four parts of mathematical logic.
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| 8. | In this respect it is an alternative and complement to set theory.
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| 9. | Rough set theory is useful for rule induction from incomplete data sets.
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| 10. | More formally, the rule of sum is a fact about set theory.
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