Dont understand
Started by
Ella2021
· started 2021-12-07 23:19
· last activity 2022-01-22 21:00
· 1 reply
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
· 2022-01-22 21:00
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!
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