13.1. Discrete Mathematics

Try these first

1. 1.

   Define what a predicate is.

   Hint

   Think about properties of students.

2. 2.

   What does the symbol '∃' represent?

   Hint

   It is related to existence.

3. 3.

   What does '∀' signify in logic?

   • Existential Quantifier
   • Universal Quantifier
   • Negation

   Hint

   It covers the whole domain.

4. 4.

   Is the statement 'Some students passed' a universally quantified statement?

   • True
   • False

   Hint

   Focus on the word 'some'.

5. 5.

   Prove there are infinitely many primes using contradiction.

   Hint

   Consider the properties of prime numbers.

6. 6.

   Design a mathematical expression showing exactly one item exists per category.

   Hint

   Focus on inequalities in existence.