Discrete Structures Connectives (Truth Condition Focus)

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Memorizing Truth Conditions for Connectives.

Last updated 10:41 PM on 10/25/25
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8 Terms

1
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Negation (¬)

Truth Condition: ¬P is True when P is False.

2
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Conjunction (∧)

Truth Condition: True exactly when P is True and Q is True.

3
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Disjunction (∨)

Truth Condition: True when at least P or Q is True.

4
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Implication (→)

Truth Condition: False only when P is True and Q is False.

5
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Biconditional ()

Truth Condition: False only when P is True and Q is False.

6
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XOR (⊕)

Truth Condition: True when P and Q differ.

7
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NAND (↑)

Truth Condition: True except when P and Q are True.

8
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NOR (↓)

Truth Condition: True exactly when P and Q are False.

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