Syllogism and Detachment

Front

What is a syllogism?

Back

A syllogism is a form of reasoning in which a conclusion is drawn from two given or assumed propositions (premises).

Front

What is a counterexample?

Back

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

Front

What is the structure of a basic syllogism?

Back

A basic syllogism consists of a major premise, a minor premise, and a conclusion.

Front

What is the difference between valid and invalid arguments?

Back

A valid argument is one where if the premises are true, the conclusion must also be true. An invalid argument does not guarantee the truth of the conclusion even if the premises are true.

Front

What is a conditional statement?

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions.

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive of a conditional statement 'If P, then Q' is 'If not Q, then not P'.

Front

How do you determine the validity of a conclusion in a syllogism?

Back

To determine validity, check if the conclusion logically follows from the premises.

Front

What is modus ponens?

Back

Modus ponens is a valid form of argument where if 'If P, then Q' is true and P is true, then Q must also be true.

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What is modus tollens?

Back

Modus tollens is a valid form of argument where if 'If P, then Q' is true and Q is false, then P must also be false.

Front

What is an example of a valid syllogism?

Back

Example: All humans are mortal. Socrates is a human. Therefore, Socrates is mortal.