1/8
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negation
tilda, not, false, is always opposite of each other
conjugation
dot, and, but, is always false unless p and q are both true
disjunction
wedge, or, unless, is always true unless p and q are false
conditional
horseshoe, if then, is always true unless p is true and q is false
biconditional
is always false unless p and q have the same truth values
conjugation short cut
A conjunction with at least one false conjunct is false.
disjunction shortcut
A disjunction with at least one truth disjunct is true.
conditional shortcut 1
A conditional with a false antecedent is true.
conditional shortcut 2
A conditional with a true consequent is true.