Sufficient & Necessary Questions - - Question 40

An air traveler in Beijing cannot fly to Lhasa without first flying to Chengdu. Unfortunately, an air traveler in Be...

Dalaal February 27, 2020

Neither... nor

Do we diagram neither/nor the same as either/or and could you explain the logic behind it?

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SamA February 28, 2020

Hello @Dalaal,

I am not seeing "neither/nor" in the question that you linked here, so I will create an example.

"Fish are neither mammals nor reptiles." I am able to diagram this with sufficient/necessary conditions because it is a general rule or principle.

F - - - - - -> not M and not R
or
M or R - - - - - -> not F

However, there are sentences for which I wouldn't diagram neither/nor. For example, "I am neither hungry nor tired." This might be an important premise, but it is not something that I would diagram by itself. It is just two things that I am not, and it doesn't lend itself to conditional reasoning.

Either/or is different, because there is conditionality involved. "I am either hungry or tired." There are conclusions that I can draw.
not T - - - - - > H
not H - - - - - -> T

Mehran goes over the either/or logic in detail in the sufficient and necessary video. If this last example doesn't make sense, I would watch that segment again.

Shirnel March 15, 2020

Great explanation. I know the question didn't have "neither/nor" in it, but thank you for explaining it. In looking at our example, it seems neither nor is diagrammed like a compound statement with the necessary condition negated. Is that the case?