Logical Reasoning and Counterexamples

Front

What is the contrapositive of the statement: 'If the food is cooked, then it is in the oven'?

Back

If the food is not cooked, then it is not in the oven.

Front

What is a counterexample for the statement: 'If an electronic device has a screen then it is a television'?

Back

Cellular phone.

Front

A statement that is true forward and backward is called ___?

Back

Biconditional.

Front

What is a counterexample of the statement: 'If an animal has wings, then it can fly'?

Back

Penguin.

Front

What is the inverse of the statement: 'If Jason does not go out to dinner, then he will come to the volleyball game'?

Back

If Jason goes out to dinner, then he will not come to the volleyball game.

Front

Define 'contrapositive'.

Back

The contrapositive of a statement is formed by negating both the hypothesis and conclusion and reversing them.

Front

What is the definition of a 'counterexample'?

Back

A counterexample is an example that disproves a statement or proposition.

Front

What does 'biconditional' mean in logic?

Back

A biconditional statement is true if both parts are either true or false.

Front

Provide an example of a biconditional statement.

Back

'A shape is a square if and only if it has four equal sides.'

Front

What is the definition of 'inverse' in logic?

Back

The inverse of a statement is formed by negating both the hypothesis and conclusion.