1.1. What is Mathematical Logic?

Try these first

1. 1.

   What is a proposition?

   Hint

   Think of a simple statement that can be verified.

2. 2.

   Provide an example of a logical operator.

   Hint

   Think of how these operators relate two propositions.

3. 3.

   What is the primary purpose of mathematical logic?

   • To make arguments
   • To determine truth values of statements
   • To create equations

   Hint

   Think about what logic helps us achieve with statements.

4. 4.

   A proposition can be defined as: True, False, or Both?

   • True
   • False

   Hint

   Recall the definition of a proposition.

5. 5.

   Create a compound proposition using three variables, p, q, and r, and construct a truth table for it.

   Hint

   Remember to account for all possible combinations.

6. 6.

   Using the propositions p: 'It is sunny' and q: 'I will go for a walk', analyze the statement 'If it is not sunny, then I will not go for a walk'. What logical form does this take?

   Hint

   Recall how conditional statements work.