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[I am posting on behalf of a 7Sage user. Please feel free to leave your comments below. Thank you for your help!]
"From 4 Groups Mixed Translations Flashcards, I've been stuck on two problems and I think it comes from a lack of understanding of how Group 3 and Group 4 work.
Not both /S and O is /S -> /O. I intuitively understand this but I don't understand how the rules make this happen. Same goes for None of the M is /D being M -> D. Shouldn't it be /M -> D?
I couldn't find any replies covering this."
https://classic.7sage.com/lesson/4-groups-mixed-translations-flashcards/
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"Not both" and "none" are both Group 4.
Let's start with "Not both /S and O".
The process for Group 4 is:
Pick either idea. [I'll pick '/S' as the idea]
Negate that idea. [/S becomes S]
Make that idea the necessary condition. [ -----> S]
The other idea is the sufficient condition. [O ---- > S ]
Thus we get O ---> S with /S ---> /O as the contrapositive.
+++++++++++++++++++++++++++++++++++++++
Now "none". "None of the M is /D"
Pick either idea. [M]
Negate that idea. [/M]
Make that idea the necessary condition. [ -----> /M]
The other idea is the sufficient condition. [/D ---- > /M ]
Thus we get /D ---> /M with M ---> D as the contrapositive.
Hope that helps!