Conditional Logic and Arguments

These flashcards cover key concepts and definitions related to conditional arguments in logic.

Conditional Argument

A formal argument where the premises assert that membership in one set is sufficient for membership in another.

Validity

A property of an argument where, if the premises are true, the conclusion must also be true.

Truth

A property of claims such as premises, assumptions, and conclusions, not a property of arguments.

Sufficient Condition

A condition that, when met, guarantees the outcome of another condition.

Necessary Condition

A condition that must be met for a certain outcome to occur.

Contrapositive

A conditional statement formed by reversing the sufficient and necessary conditions and negating both.

Negation

The opposite of a statement; in logic, it indicates contradiction.

Set A and Set B

Used in conditional arguments to represent two different categories or groups.

Logical Indicators

Words or phrases in English that signal conditional relationships, such as 'if', 'only if', and 'unless'.

Membership

The status of being part of a set in logical arguments.