I’d really benefit from having someone to bounce ideas off of. Looking for a group where we can teach each other concepts and answer challenging questions together before reviewing the 7Sage answer.
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- Apr 2025
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Is the difference between
"You must sit at (either) one end of the table or the other."
and
"Jon must (either) enroll in Economics 101 or Political Science 101 this semester."
just the placement of "either?"
So in contrapositives, if one switches the sufficient and necessary conditions, does the negated sufficient condition somehow logically become the necessary condition and vice versa?
Like in the cats and mammals example. We go:
C -> M to /M -> /C
Is /C the new sufficient condition? If one is not a mammal, then one is not a cat. So if one is not a cat, would that be necessary or sufficient to say one is not a mammal? Or do they retain their respective statuses as sufficient ent and necessary after they are switched and negated?
Realistically, I can answer my own question. It seems like if one not being a mammal is still necessary for one not being a cat, because if one was not a cat, they could still be a dog and be a mammal. Im just wondering if I'm missing something, or if this plays out differently in any other examples?
Any help is appreciated!
Taking mine in August and hopefully not also in September!
Would Once you realize this, you see that it doesn’t matter what ideas go into this structure also be a conditional statement, with realizing it being sufficient for seeing that it doesn't matter what ideas for into the structure?
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If you can't see that it doesn't matter what ideas go into the structure, then you can't realize this.
I did not see that it doesn't matter, therefore I did not realize this.
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I realized this; therefore I see it doesn't matter
Would "Parrots can never be clever" work in this instance? Or does this add too much to the original claim? Does this not rule out that some parrots are currently clever?
In 3.1, why is "But this is not a sustainable, long term solution." a PREMISE and not a SUB-CONCLUSION??
Can someone please explain why this is not just background information and observation? I was getting kind of stumped by the finance jargon.
Premise: The net profit margin of a business is the revenue minus the expenses.
Conclusion: Thus, if the expenses decrease, the revenue can be reduced by the same amount without impacting the net profit margin.