Sufficient & Necessary Questions - - Question 45

Two things are true of all immoral actions. First, if they are performed in public, they offend public sensibilities....

MrLaw October 30, 2019

Diagramming

I'm confused on how to diagram this S&N condition. The prompt says two things are true of an immoral action: if performed in public they offend sensibilities, and they are accompanied by feelings of guilt. Why would you not diagram it as follows: OPS and AFG => IA not IA => notOPS or notAFG

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Irina October 30, 2019

@Alexander-Blankers,

We cannot diagram it this way because the first premise is conditional - ONLY IF an immoral action is performed in public THEN it offends public sensibilities, whereas the second premise is absolute - ANY immoral action is always accompanied by feelings of guilt.

(1) imm action & public -> offend sensibilities
~ offend -> ~ imm action v ~ public
(2) imm action -> guilt
~ guilt -> ~ imm action

These premises allow us to conclude that (A) must be false because (2) is a universal premise, all immoral actions result in feelings of guilt, it is irrelevant whether they are performed in public or not.

MrLaw October 30, 2019

ONLY IF introduces a necessary condition, but IF introduces a necessary condition. The passage reads "If an action..." not "Only if an action..."

Am I missing an interpretation of something? Thanks for your help!

Irina October 30, 2019

@Alexander-Blankers,

I did not mean "only" to be a conditional indicator, sorry about the confusion. "IF" indicates the sufficient condition in this premise. If an action is immoral AND it is performed in public - both must be true - THEN it offends sensibilities.