Drawing and Supporting Conclusions

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Presentation transcript:

Drawing and Supporting Conclusions

Law of Detachment You are given: You can conclude: a true conditional statement and the hypothesis occurs You can conclude: that the conclusion will also occur

Law of Detachment Symbolic form You are given: You can conclude: pq is true p is given You can conclude: q is true Symbolic form

Law of Detachment Example You are given: If three points are collinear, then the points are all on one line. E,F, and G are collinear. You can conclude: E,F, and G are all on one line.

Law of Syllogism You are given: You can conclude: Two true conditional statements and the conclusion of the first is the hypothesis of the second. You can conclude: that if the hypothesis of the first occurs, then the conclusion of the second will also occur

Law of Syllogism Symbolic form You are given: You can conclude: pq and qr You can conclude: pr Symbolic form

Law of Syllogism Example You are given: You can conclude: If it rains today, then we will not have a picnic. If we do not have a picnic, then we will not see our friends. You can conclude: If it rains today, then we will not see our friends. Example