@alejoroarios925 you should probably think of contraceptives in terms of "all" as in use them "all" the time. Hahah...
But seriously I think an argument can be made for both "some" and "none" being the contrapositives of "some". This is perhaps because "some" is the Schrodinger's cat of existential quantifiers. Without peering inside the box, "some" could be either "all (100)" or "some (1-99)" and so it could simultaneously have a valid and invalid contrapositive. However, once we open the box, its true identity is revealed and we will know whether its contrapositive is valid or not.
Don't think of "some" in terms of contraceptives. That is only for conditional statements!! "Some" statements can be flipped and the meaning doesn't change. E.g "some dogs are cute" = "some things that are cute are dogs".
Note the difference between contrapositive and negation. @2543.hopkins is talking about contrapositive and @mcmahoncjordan276 is talking about negation. Contrapositive is saying the same relationship in a different way and negation is saying the opposite of a relationship. @jklove4143, as Nicole said there is no contrapositive for "some" because you only know that some could be,but does not have to be,100%.
The contrapositive would be /7SageUsers none /LSATstudents or /7SageUsers some /LSATstudents, I'm not sure which given the interchangeable nature of "some."
Just reading that wouldn't it be more like not all 7SageUsers are LSATstudents?
Or like it's not the case that some 7SageUsers are LSATstudents?
I may be completely backwards in my thinking and if so I'm in trouble.
Anyways. I think it's tricky. The negation for "some" is "none," correct?
So if you had, for example:
LSATstudents some 7SageUsers
The contrapositive would be /7SageUsers none /LSATstudents or /7SageUsers some /LSATstudents, I'm not sure which given the interchangeable nature of "some."
So as @2543.hopkins the contrapositive of "some" gives you absolutely nothing at all unless you know it's 100 percent. At that point it would be "all," not "some," so we'd have more to work with.
I think the point to remember "some" is that it's so ambiguous.
Could it be 100? Yes. 99? Yes. 5? Yes. 1? Yes.
With "some," we never have a way of knowing for sure that it's 100%; the only quantifier that tells us 100% is "all" (or every, etc.).
Does that make sense?
7sagers, what do you think about this idea:
Contrapositive of "some" would get you "some" because only if some = 100% (which we would call "all" if we knew it to be the case) do we know anything about the contrapositive.
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11 comments
LOL
LOL
@974 and @alejoroarios925
Unless, of course, you are gettin’ “some”.
@alejoroarios925 you should probably think of contraceptives in terms of "all" as in use them "all" the time. Hahah...
But seriously I think an argument can be made for both "some" and "none" being the contrapositives of "some". This is perhaps because "some" is the Schrodinger's cat of existential quantifiers. Without peering inside the box, "some" could be either "all (100)" or "some (1-99)" and so it could simultaneously have a valid and invalid contrapositive. However, once we open the box, its true identity is revealed and we will know whether its contrapositive is valid or not.
Don't think of "some" in terms of contraceptives. That is only for conditional statements!! "Some" statements can be flipped and the meaning doesn't change. E.g "some dogs are cute" = "some things that are cute are dogs".
The negation of "some" is "none".
Hope that helps!
Hoo boy. Note to self/all: Need for review of fundamentals has become apparent.
Maybe we should plan for a special study sesh, y'all ... Thoughts? We can Skype or Google.
Correct me if I'm wrong, but the contrapositive of some is none, just like the contrapositive of most is half or less.
Note the difference between contrapositive and negation. @2543.hopkins is talking about contrapositive and @mcmahoncjordan276 is talking about negation. Contrapositive is saying the same relationship in a different way and negation is saying the opposite of a relationship. @jklove4143, as Nicole said there is no contrapositive for "some" because you only know that some could be,but does not have to be,100%.
LSATstudents some 7SageUsers
The contrapositive would be /7SageUsers none /LSATstudents or /7SageUsers some /LSATstudents, I'm not sure which given the interchangeable nature of "some."
Just reading that wouldn't it be more like not all 7SageUsers are LSATstudents?
Or like it's not the case that some 7SageUsers are LSATstudents?
Idk I think I may have confused myself more.
Sorry about "counter positive" duh!
I may be completely backwards in my thinking and if so I'm in trouble.
Anyways. I think it's tricky. The negation for "some" is "none," correct?
So if you had, for example:
LSATstudents some 7SageUsers
The contrapositive would be /7SageUsers none /LSATstudents or /7SageUsers some /LSATstudents, I'm not sure which given the interchangeable nature of "some."
So as @2543.hopkins the contrapositive of "some" gives you absolutely nothing at all unless you know it's 100 percent. At that point it would be "all," not "some," so we'd have more to work with.
What a wacky concept "some" turned out to be.
I think the point to remember "some" is that it's so ambiguous.
Could it be 100? Yes. 99? Yes. 5? Yes. 1? Yes.
With "some," we never have a way of knowing for sure that it's 100%; the only quantifier that tells us 100% is "all" (or every, etc.).
Does that make sense?
7sagers, what do you think about this idea:
Contrapositive of "some" would get you "some" because only if some = 100% (which we would call "all" if we knew it to be the case) do we know anything about the contrapositive.