9.6. Arguments in English Statements

Try these first

1. 1.

   What is the universal quantifier symbol?

   Hint

   Think of the word 'all.'

2. 2.

   Translate 'There exists a student who studies math' into a logical expression.

   Hint

   Remember to use conjunction!

3. 3.

   What does the symbol ∀ represent in logic?

   • There exists
   • For all
   • None of the above

   Hint

   It's about total coverage.

4. 4.

   Is the statement 'Some cats are black' existentially quantified?

   • True
   • False

   Hint

   Think of how many examples it takes.

5. 5.

   Assess the validity of the following statement: 'All dogs are not pets'. Translate this and discuss its logical meaning.

   Hint

   Identify how 'not' changes the perspective.

6. 6.

   How would you use both predicates and quantifiers to express: 'All the students in the class either study math or science.'?

   Hint

   Break down the classes of students.