I am studying with a group and it gets kind of confusing and inconvenient that if i drill/PT in the new format it doesnt have any records of questions ive already seen.
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honestly embedded conditionals is just not clicking at all for me. can someone plz break it down for me differently.
The rule for “not both” is negate, necessary. You did negate, sufficient.
It would be:
S —> /A
A—>/S
Think of "the only" as indicating a subset of a superset. Recall how a subset relates to a superset. The superset is the necessary condition, and the subset is the sufficient condition. For example, take the following statement:
The only law graduates who practice law are those who pass the bar.
Think of all law graduates as the superset. Within the superset of all law graduates, there are those who pass the bar. Further, within the subset of those who pass the bar are those who actually practice law.
Practice law = sufficient condition. Passed the bar = necessary condition.
If someone is located in the "practice law" circle, they are for sure located in the "passed the bar" circle, because the "practice law" circle is a smaller circle inside the "passed the bar" circle. But someone can be in the larger "passed the bar" circle without being in the smaller "practice law" circle. You'll have to visualize this since I can't draw on here.
In other words, if someone practices law, you know they passed the bar. Practicing law is the sufficient condition, and passing the bar is the necessary condition. But passing the bar isn't a sufficient condition to practicing law.
Translating this statement would look like:
PL --> PB
/PB --> /PL
So, "the only" indicated a sufficient condition.
This works for any argument in this form:
The only plants that can photosynthesize are those that have chlorophyll.
The only American citizens that can vote are those who do not have a felony.
The only Gnorps that are Flanks are those that are Thwimps.
Quite differently, "only" indicates a necessary condition.
Only medical graduates that are licensed by the board practice medicine.
Medical graduates is the superset, board-licensed medical graduates are a subset within that superset, and those who practice medicine are a subset within the subset of board-licensed medical graduates.
Practice medicine = sufficient condition. Board-licensed = necessary condition.
Translating this would look like:
PM --> BL
/BL --> /PM
Try with other examples:
Only athletes that have discipline make it to the Olympics.
Only gardens that receive water will flourish.
Only lawyers who pass the bar practice law.
See how "only" indicated a necessary condition and "the only" indicated a sufficient condition?
In other words, "only" indicated the superset and "the only" indicated the subset.
And a superset is always the necessary condition, while the subset is always the sufficient condition.
I hope this makes sense! Happy learning.
good explanation!#feedback