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| (P | ∨ | Q) | (P | x∨ | Q) | |||
| T | T | T | T | F | T | |||
| T | T | F | T | T | F | |||
| F | T | T | F | T | T | |||
| F | F | F | F | F | F |
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| Inclusive Disjunction | ∨ | False when the WFF on the left and the WFF on the right are both false, otherwise true. | |
| Exclusive Disjunction | x∨ | False when the truth-value of the WFF on the left matches that of the WFF on the right, true when they clash. |
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