Value Conflicts and Assumptions •Visible stated reasons •Hidden/unstated ideas – assumptions Assumptions • • • • Unstated Taken for granted Influential in determining the conclusion Potentially deceptive Look for reasons • To support conclusion • Necessary for reason to be true • Value Conflicts – differing values that stem from different frames of reference • Value assumption – taken-for-granted belief about the relative desirability of certain competing values Arguments Analysis • Focus on the connections between the arguments and the conclusion. • Well-formed arguments Validity • Valid – if and only if it is impossible for the premises of the argument all to be true and the conclusion to be false • Valid – if and only if all the premises of the argument are all true then the conclusion is true as well • Boris is a student at State U • All students at State U played football ________________________________ • Boris played football • • • • x is an A All As are Bs ___________ X is a B • Either my daughter is on the phone or my wife is on the phone • It is not the case than my daughter is on the phone • _______________________________ • My wife is on the phone • • • • Either P or Q ~P ___________ Q • Argument by Elimination • • • • • Conjunction P Q ________ P and Q • • • • • Conjunction A and B Disjunction A or B Negation ~A Conditional If A then B Biconditional A if and only if B (If A then B, and if B then A)