-
The negation of a tautology is a contradiction.
-
True
-
False
-
The negation of a contradiction is sometimes a contingency.
-
True
-
False
-
The negation of a contingency is a tautology.
-
True
-
False
-
The negation of a tautology is a contingency.
-
True
-
False
-
The conjunction of two tautologies is itself a tautology.
-
True
-
False
-
The conjunction of two contradictions is a tautology.
-
True
-
False
-
The conjunction of two contingencies always produces another contingency.
-
True
-
False
-
The conjunction of a tautology and a contingency produces a contingency.
-
True
-
False
-
The conjunction of a tautology and a contradiction is a contingency.
-
True
-
False
-
The disjunction of two tautologies is itself a tautology.
-
True
-
False
-
The disjunction of two contingencies might be a tautology.
-
True
-
False
-
The disjunction of a tautology and a contradiction is a contingency.
-
True
-
False
-
The disjunction of two contradictions is a tautology.
-
True
-
False
-
A conditional which has a tautology for its consequent is itself a tautology.
-
True
-
False
-
A conditional which has a contradiction for its consequent is itself a contradiction.
-
True
-
False
-
A conditional which has a contradiction for an antecedent is always true.
-
True
-
False
-
A conditional which has a contingency for its antecedent is sometimes a contradiction.
-
True
-
False
-
A conditional which has a contingency for its consequent is sometimes a contradiction.
-
True
-
False
-
A conditional which has a contingency for its consequent is sometimes a tautology.
-
True
-
False
-
A biconditional that has a tautology on the left and another tautology on the right would be a tautology itself.
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True
-
False
-
A biconditional that has a contradiction on the left and another contradiction on the right would be a contradiction itself.
-
True
-
False
-
A biconditional that has a contradiction on the left and a tautology on the right would be a contingency.
-
True
-
False
-
A biconditional that has a contingency on the left and another contingency on the right might be a contradiction.
-
True
-
False
-
A biconditional that has a contingency on the left and another contingency on the right might be a tautology.
-
True
-
False
-
An argument whose conclusion is a tautology must be valid.
-
True
-
False
-
An argument whose conclusion is a contradiction must be invalid.
-
True
-
False
-
An argument one of whose premises is a tautology must be valid.
-
True
-
False
-
An argument one of whose premises is a contradiction must be valid.
-
True
-
False
-
An argument all of whose premises are tautologies must be valid.
-
True
-
False
-
An argument all of whose premises are tautologies must be invalid.
-
True
-
False