2010.10.07

2010.10.07 - Today Agenda Part 1 Thu 07 Oct Truth-table...

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Today Agenda Part 1 Thu 07 Oct • Truth-table test for green reason bubble deductive validity correctness • How Test works • Short, abbreviated, vs long truth-table • Truth-table valid, invalid vs green reason bubble deductively valid, invalid
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Today Agenda Part 2 Thu 07 Oct • Truth-table test for green reason bubble deductive validity correctness • Application to famous examples
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Testing Deductive Valid GRM ch 6 • Green reason bubble deductive valid correctness test procedure Step1 Standardize wording premises, conclusion to apply test. Test1 Truth-table test • Test2 Venn circle diagrams syllogism test Step2 Apply test Test1 Truth-table test • Test2 Venn circle diagrams syllogism test Correct ? Incorrect ?
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Test TT Validity • Step 1: Identify premises, conclusions • Step 2-4: Standardize wording premises, conclusions. Standardize logic operators AND, NOT, OR, XOR, IF, IFF. • Step 5: Replace nonTFcompunds, nonTFcompound parts, with variables. • Step 6: Construct truth-table for premises, conclusions with variables. • Step 7: Determine TT validity using flowchart.
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Slide 5 Step 7 Flowchart Is row where all P ʼ s true and C false? Yes No Reasoning truth-table invalid Reasoning truth-table valid Completed truth-table for reasoning
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Today Agenda Part 1 Thu 07 Oct • Truth-table test for green reason bubble deductive validity correctness • How Test works Short, abbreviated, vs long truth-table • Truth-table valid, invalid vs green reason bubble deductively valid, invalid
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Exercise 4 Source [1] [2] [3]
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Exercise 4 Step 2-4, ACTFL ch 4.5 • Givens, premises standardized • P1: IF Terrorist demands are met THEN Lawlessness will be rewarded • P2: IF NOT Terrorist demands are met THEN Innocent hostages will be murdered • Conclusion standardized? • C: Lawlessness will be rewarded OR Innocent hostages will be murdered
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Exercise 4: Variables Step 5, ACTFL ch 4.5 • Replace not-TFcompounds (eg atomic, quantified) sentences with variables • P1: IF x THEN y • P2: IF NOT x THEN z • C: y OR z
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Exercise 4: Table Step 5-6, ACTFL ch 4.5 slide 10 IF x THEN y IF NOT x THEN z y OR z x y z t t t t f f f f t t f f t t f f t f t f t f t f T T F F T T T T T T T T T F T F T T T T T F T F
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Slide 11 Step 7 Flowchart Is row where all P ʼ s true and C false? Yes No Reasoning truth-table invalid Reasoning truth-table valid Completed truth-table for reasoning
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Example 4 • Reasoning is • A. Truthtable deductively green reason bubble valid • B. Truthtable deductively green reason bubble not valid • C. Both A and B • D. Neither A nor B
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Is row where all P ʼ s true and C false? Yes
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2010.10.07 - Today Agenda Part 1 Thu 07 Oct Truth-table...

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