MADAM SITI AISYAH ZAKARIA. CHAPTER OUTLINE: PART III 1.3 ELEMENTARY LOGIC LOGICAL CONNECTIVES 1.3.5 CONDITIONAL STATEMENT.

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Presentation transcript:

MADAM SITI AISYAH ZAKARIA

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

C OMMON CONNECTIVES ConnectivesSymbolName If thenConditional If and only ifBiconditional

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 ( ) CONDITIONAL STATEMENTS pq TTT TFF FTT FFT

C ONVERSE, INVERSE, C ONTRAPOSITIVE

ORIGINAL STATEMENT – Eg: “ If it is raining, then the home team wins” CONVERSE : the converse of this implication is Eg: If the home team wins, then it is raining INVERSE: the inverse of this implication is Eg : If it is not raining, then the home team does not win. CONTRAPOSITIVE : the contrapositive of this implication is Eg : If the home team does not win, then it is not raining. C ONVERSE, INVERSE, C ONTRAPOSITIVE DO IT EXERCISE 26, 27, 28

E XERCISE..

THE END

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