1. | All elements of all the sets under discussion belong to some universal set or universe . |
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2. | For larger sets: |
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3. | A set is: |
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4. | Theorem. There is only one empty set,ie. only two empty sets are equal. |
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5. | Let A and B be sets. A equals B,written A=B,iff every element of A is also an element of B,and conversely,every element of B is also an element of A. |
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6. | Z = {. . . ,−2,−1, 0, 1, 2, . . .} is the set of integers. |
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7. | The emty set is the set containing no elements . |
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8. | The symbol ∈ means: |
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9. | Let A and B be sets.Then A=B iff A belongs B |
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10. | 3 ∈{1,3,7} |
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11. | N = {0, 1, 2, 3, . . .} is the set of integers. |
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