CH 7 Disjunctive & Hypothetical Syllogisms Flashcards
Disjunctive Syllogism
Describes a relationship between two simpler propositions, doesn’t say if either are true, just that they are related
Disjunctive Proposition
“and” “or” “if”
Hypothetical Proposition
Another term for a conditional (if, then) proposition
Disjunct
A component of a disjunctive proposition
Antecedent
“if” component in a hypothetical proposition
Consequent
“then” component in a hypothetical proposition
Pure hypothetical syllogism
VALID
- “only” ; “if”
If p then q
If q then r
= If p then r
Modus Ponens
VALID
- Affirming the Antecedent
If p, then q
p occurs
= so q
Denying the disjunct
VALID
p or q
not p
= q is true
Inclusive “or”
p or q = p or q or both
Exclusive “or”
p or q = p/q could be true by themselves, but never both could be true
Affirming a disjunct
INVALID uses “or” exclusively
- Invalid because it relies on extra background information (not premises) to lead to conclusion
Modus Tollens
VALID
- Denying the Consequent
If p then q
Not q
= Not p
Denying the Antecedent
INVALID
Sufficient condition but not necessary
Affirming the Consequent
INVALID
Sufficient condition but not necessary