Symbolic Notation Practice

Front

What does 'p ⟷ q' mean in symbolic logic?

Back

It means 'p if and only if q', indicating that both p and q are either true or false together.

Front

What is the symbolic representation of 'If I do not run every day, then I do not make the track team'?

Back

~p → ~q

Front

What does 'p ∴ q' signify in logical reasoning?

Back

It signifies 'p therefore q', indicating that p leads to the conclusion q.

Front

What does 'p ∧ q' represent?

Back

It represents 'p and q', meaning both statements are true.

Front

What is the meaning of '~q → p'?

Back

It means 'If not q, then p', indicating that if q is false, p must be true.

Front

Define 'conditional statement' in symbolic logic.

Back

A conditional statement is an 'if-then' statement, represented as 'p → q', meaning if p is true, then q is also true.

Front

What does 'disjunction' mean in logic?

Back

Disjunction is represented as 'p ∨ q', meaning either p is true, q is true, or both are true.

Front

Explain the term 'contrapositive'.

Back

The contrapositive of 'p → q' is '~q → ~p', and it is logically equivalent to the original statement.

Front

What is the difference between 'conjunction' and 'disjunction'?

Back

Conjunction (p ∧ q) requires both statements to be true, while disjunction (p ∨ q) requires at least one to be true.

Front

What does 'negation' mean in symbolic logic?

Back

Negation is the opposite of a statement, represented as '~p', meaning 'not p'.