9.6.3. Third Statement: Dull in Colour

Try these first

1. 1.

   Provide a predicate to represent 'x is a student'.

   Hint

   Choose a logical variable for students.

2. 2.

   What does the quantifier ∀ mean?

   Hint

   Think about universal statements.

3. 3.

   What does the symbol ∃ mean?

   • For all
   • There exists
   • None

   Hint

   Focus on the meaning of existence.

4. 4.

   A statement of the form ∀x (P(x) → Q(x)) is:

   • True
   • False

   Hint

   Analyze it logically.

5. 5.

   If every bird that does not swim can fly, express this in predicate logic and explain what it means.

   Hint

   Break it down into predicates representing swimming and flying.

6. 6.

   Provide a predicate logic translation for 'Some students either study math or science.' Discuss the implications.

   Hint

   Focus on the word 'some' to guide your quantification choice.