M4: Propositional Logic: Truth Value Flashcards
concerns the proper structure an argument alone
validity
truthfulness of the propositions found within the argument
soundness
Three Laws of Thought in Logic
- Principle of identity
- Principle of non-contradiction
- Principle of excluded middle
in n! n is
the number of atomic propositions
biconditionals aka
equivocation
The whole proposition will be t if all conjunct are T (or the whole proposition will be F if at least one conjunct is F)
Conjunction
The whole proposition will be F if all disjuncts are F (or the whole proposition will be T if at least one disjunct is T).
Disjunction
(the whole proposition will be T if at most one disjunct is true). exclusive/inclusive
exclusive disjunction
The whole proposition will be F if the antecedent is T while the consequent is F.
conditional
whole proposition will be T if all atomic propositions carry a similar truth-value.
biconditional
compound/complex proposition is a _____ if all resulting final values are T
Tautology
A compound/complex proposition is ______ if its final value is a mixture of T’s and F’s.
Contingent
compound/complex proposition is a ______ if all resulting final values are F.
Contradiction
requires verification of each atomic proposition because final truth-value is unknown
Contingent
3 classification of proposition
tautology, contingent, contradiction