1) Intro to Validity Flashcards
(10 cards)
What is a declarative sentence
Sentences that are true or false
How many conclusions can an argument have
One
How can an argument be logically valid
if and only if there is no interpretation under which the premisses are all true and the conclusion is false
How can a conclusion be false
if at least one premise is false, or the argument is invalid
Propositionally valid
no interpretation of the sentences such that all premises are true and yet conclusion is false
Consistency
set of sentences are consistent if and only if there is at least one interpretation under which all sentences of the set are true
Logical Truth
a sentence is logically true if an only if it is true under any interpretation
Logically false
a sentence is logically true if an only if it is true under any interpretation
Logically Equivalent
Sentences are logically equivalent if an only if they are true under exactly the same interpretations
Enthymeme
Collection of sentences which need one more premise and could be true