I need translation help on this rule

[cdjmarmon]

I cant remember if I saw this rule on a game or if someone asked me this but I have it written down on a piece of paper and its driving me crazy.

"No avengers fan shares a room with someone who is not a avengers fan."

So if we have people who are avengers fans and people who are not avengers fans. Does this rule mean:

1. All Avengers fans share a room with someone who is an avengers fan?
2. If your an avengers fan then you do not share a room with someone who is not an avengers fan?

Im kinda lost on this one. It seems like it could go either way.

[timmydoeslsat]

"No avengers fan shares a room with someone who is not a avengers fan."

So if we have people who are avengers fans and people who are not avengers fans. Does this rule mean:

AF ---> ~Share with ~AF

We do not have to say that the AF will share a room with another AF. It could be the case that the AF does not share a room at all. (Depending on the type of game/set-up)

[cdjmarmon]

How do you negate that?

[timmydoeslsat]

If by negate, you mean look at it from the perspective of the contrapositive, it would be:

Original:


AF ---> ~Share with ~AF

Contrapositive:

Share with ~AF ---> ~AF


The idea in the necessary condition in the original conditional is the idea of not sharing with a non-AF. So you either share with a non-AF or you do share with a non-AF.

[cdjmarmon]

So pretty much, if your an AF your ginna be alone or with another AF? So a non AF cant ever be with an AF?

[timmydoeslsat]

So pretty much, if your an AF your ginna be alone or with another AF? So a non AF cant ever be with an AF?

The first part about the AF person, yes.

Also, there is no way for a non-AF person to be with an AF person. As once we have an AF person, we know he/she cannot be with the non-AF person!

[ManhattanPrepLSAT1]

Nice explanation Timmy! And great that you caught the nuance in the rule that an Avengers fan may not even share a room!!!

[chike_eze]

This is the Not both rule.

Avenger fan = A
Not Avenger fan = B

A --> not B
B --> not A

The rule explicitly states which two items cannot go together. It does not say anything about which items can. i.e., A could go with A, but not necessarily. A could go with C/D/E, but not necessarily. or A could be alone, but not necessarily.