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Memorizing Truth Conditions for Connectives.
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Negation (¬)
Truth Condition: ¬P is True when P is False.
Conjunction (∧)
Truth Condition: True exactly when P is True and Q is True.
Disjunction (∨)
Truth Condition: True when at least P or Q is True.
Implication (→)
Truth Condition: False only when P is True and Q is False.
Biconditional (↔)
Truth Condition: False only when P is True and Q is False.
XOR (⊕)
Truth Condition: True when P and Q differ.
NAND (↑)
Truth Condition: True except when P and Q are True.
NOR (↓)
Truth Condition: True exactly when P and Q are False.