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Chapter 1 – Part 3 ELEMENTARY LOGIC
MADAM SITI AISYAH ZAKARIA
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CHAPTER OUTLINE: PART III
1.3 ELEMENTARY LOGIC LOGICAL CONNECTIVES CONDITIONAL STATEMENT
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Common connectives Connectives Symbol Name If then Conditional
If and only if Biconditional
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1.3.5 CONDITIONAL STATEMENTS
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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
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proposition
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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
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exercise
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THE END
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