Chapter 3: Key Terms Flashcards
Affirming the antecedent/modus ponens
A valid argument form:
If P, then Q.
P.
Therefore, Q.
Affirming the consequent
An invalid argument form:
If P, then Q.
Q.
Therefore, P.
Antecedent
The first part of a conditional statement (if p, then q), the component that begins with the word ‘if’.
Consequent
The part of a conditional statement that is introduced by the word ‘then’.
Cogent argument
A strong inductive argument with all true premises
Deductive argument
An argument intended to provide logically inclusive support for its conclusion.
Denying the antecedent
An invalid argument form
If p, then q.
No P.
Therefore, not Q.
Denying the consequent/modus tollens
A valid argument form.
If p, then q.
Not q.
Therefore, not p.
Disjunctive syllogism
A valid argument form.
Either P or Q.
Not P.
Therefore, Q.
(in the se cone premise of the syllogism, either disjunct can be denied.)
Hypothetical syllogism
A valid argument form.
If P, then Q.
If Q, then R.
Therefore if P, then R.
Invalid argument
A deductive argument that fails to provide conclusive support for its conclusion.
Sound argument
A deductively valid argument that has true premises.
Strong argument
An inductive argument that succeeds in providing probable - but no conclusive - support for its conclusion.
Valid argument
A deductive argument that succeeds in providing conclusive support for its conclusion.
Weak argument
An inductive argument that fails to provide strong support for its conclusion.