Exploring Conjunctions and Disjunctions in Logic

What is the primary goal of the symbolic logic unit?

• To write essays on logic

• To solve mathematical equations

• To determine the truth value of complex statements

• To memorize logical statements

In the example of the knight who says 'I am older than 15 and not older than 15', why is the statement false?

• Because the knight is 13 years old

• Because the knight is 15 years old

• Because both statements cannot be true at the same time

• Because the knight is lying

What is a conjunction in symbolic logic?

• A statement combined with 'not'

• A statement combined with 'if'

• A statement combined with 'and'

• A statement combined with 'or'

When is a conjunction true?

• When one statement is true and the other is false

• When both individual statements are true

• When at least one statement is true

• When both individual statements are false

What is a disjunction in symbolic logic?

• A statement combined with 'not'

• A statement combined with 'if'

• A statement combined with 'or'

• A statement combined with 'and'

When is a disjunction false?

• When both individual statements are true

• When at least one statement is true

• When one statement is true and the other is false

• When both individual statements are false

What symbol is used to represent a conjunction?

• A capital letter A

• A capital letter O

• An upside-down V

• A tilde

What symbol is used to represent a disjunction?

• A capital letter A

• A capital letter O

• An upside-down V

• A tilde

In the practice problem, what is the truth value of the statement 'Fish are plants or cats are mammals'?

• Both true and false

• True

• False

• Cannot be determined

In the practice problem, what does the tilde symbol represent?

• And

• Or

• Not

• If-then