Concepts Flashcards
(44 cards)
Argument
A set of statements where some of the statements, called premises, are intended to support one another, called the conclusion.
Statement
A declarative sentence that is either true or false.
Deductive argument
An argument in which the premises are intedned to guarantee the conclusion.
Inductive argument
An argument in which the premises are intended to make the conclusion probable, without guaranteeing it.
Valid argument
An argument in which it is necessary that, if the premises are true, then the conclusion is true.
Invalid argument
An argument in which it is not necessary that, if the premises are true, then the conclusion is true.
Sound argument
A valid argument in which all the premises are true.
Unsound argument
An argument that is either invalid or has at least one false premise.
Substitution instance
result from uniformly replacing the variables in an argument form with statements (or terms).
Valid argument form
In which every substitution instance is a valid argument
Formally valid argument
Valid in virtue of its form.
Negation
The denial of a statement
Conditional statement
An if-then statement.
Antecedent
The IF clause of a conditional.
Consequent
The THEN clause of a conditional
Disjunction
an either-or statement
Disjuncts
Statements that comprise a disjunction.
Famous forms method
- Identify and label component statements.
- Rewrite the argument using capital letters, eliminate stylistic variants.
- Check to see if pattern is a famous form
Categorical statement
A statement that relates two classes or categories, where a class is a set or collection of things
Term
A word or phrase that stands for a class of things
The counterexample method
- Identify the most logically sensitive form of the argument. use capital letters to stand for statements or terms.
- Find English statements or terms that, if substituted for the conclusion produce a well-known falsehood
- Substitute these statements uniformly throughout argument form
- Find English statements to substitute for premises that are well known truths
- Check your work, if form succeeds argument is invalid.
Strong argument
One in which it is probable (but not necessary) that, if the premises are true, then the conclusion is true.
Weak argument
One in which it is not probable that, if the premises are true, then the conclusion is true.
Cogent argument
A strong argument in which all of the premises are true