Group Games Questions - - Question 19

Which one of the following could be a complete and accurate list of the doctors that are at Souderton?

Ella2021 December 7, 2021

Dont understand

Why we are not doing the regular contrapositives on these games? Is this style only in binary group games?

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Jay-Etter January 22, 2022

Hi Ella, yes, for binary group games (in/out) games where all the variables have to be either in one group or the other and are not repeated we can write contrapositives slightly differently.
Take rule one for example.
K/r ->J/s
Our "traditional" contrapositive would be
Not J/s -> Not K/r
However, since we know when J isn't in S it's in R, and when K isn't in R it's in S, we can write this contrapositive as
J/r -> K/s (logically identical to Not J/s -> Not K/r).

Note that if you are doing a grouping game with two groups and either not all of the variables are used or some variables are repeated then you should stick to the traditional method of
Not J/s -> Not K/r

However, in most binary group games, writing the other version is generally quicker and easier to make inferences with. Feel free to follow up if you have further questions!