Lesson 05: Truth and Consequences: Inference at Last! Flashcards
Inference
a set of propositions in which one proposition (the consequent or conclusion) is alleged to ‘follow from’ the others (the antecedent or premises)
What is truth a property of?
Truth is a property of propositions.
What is validity a property of?
Validity is a property of arguments or inferences.
When is an inference valid?
An inference is valid if and only if it is such that if its antecedent (premises)
were to be true, its consequent (conclusion) would have to be true as well.
Immediate inference
An inference that passes directly from one proposition to another proposition, the second proposition being a partial or complete reformulation of the first.
Two kinds of immediate inference
Oppositional inference and eduction
Mediate inference
a conclusion drawn from two propositions (premises) and the conclusion is not identical with either of the premises.
Eduction
Eduction addresses the question of the validity of inferences from one proposition directly to another.
Three kinds of eduction
Conversion, contraposition and obversion.
Conversion
Convert a proposition, simply have its subject and predicate switch places.
Contraposition
Switch the subject and predicate of the original proposition, but this time we complement each term.