1. Chapter 1 – Part 3 ELEMENTARY LOGIC
MADAM SITI AISYAH ZAKARIA

2. CHAPTER OUTLINE: PART III
1.3 ELEMENTARY LOGIC
LOGICAL CONNECTIVES
CONDITIONAL STATEMENT

3. Common connectives Connectives Symbol Name If then Conditional
If and only if
Biconditional

4. 1.3.5 CONDITIONAL STATEMENTS

5. 1.3.5 CONDITIONAL STATEMENTS
1) Conditional Statement/ Implication
Let p and q be a proposition. The implication is the proposition that is FALSE when p is true, q is false. Otherwise is TRUE.
p = hypothesis/antecedent/premise
q = conclusion/consequence
Express: “ if p, then q”, “q when p”, “p implies q”
Eg: If you earn an A in logic then I will give you present.
The Truth Table for the Implication ( ) p q T F

6. proposition

8. 1.3.5 CONDITIONAL STATEMENTS
2) Equivalence/ Biconditional
Let p and q be a proposition. The biconditional is the proposition that is TRUE when p and q have the same truth values, and FALSE otherwise.
Express: “ p if and only if q”
Eg: -You can take flight if and only if you buy a ticket.
-You can have dessert if and only if you finish your meal
The Truth Table for the Biconditional ( ) p q T F

9. exercise

12. THE END