Set theory is pretty fascinating. I love Russell's paradox: According to the unrestricted comprehension principle, for any sufficiently well-defined property, there is the set of all and only the objects that have that property. Let R be the set of all sets that are not members of themselves. (This set is sometimes called "the Russell set".) If R is not a member of itself, then its definition entails that it is a member of itself; yet, if it is a member of itself, then it is not a member of itself, since it is the set of all sets that are not members of themselves. The resulting contradiction is Russell's paradox.
This is where it all started to go wrong for me lol. In all seriousness, the whole necessary vs sufficient and subset vs superset thing is what catches me out the most, probably because its never this simply outlined in the actual questions.
Feeling kind of annoyed that I was sent to the old LSAT schedule and not the new one from the start. I just wasted a day and a half on the old schedule, and it's unclear what I need to do, and what I need to skip on the old one.
Dog is the set and the members are Fido, Lassie and Marmadue. Mammal is a superset that dog is in. Simba is a member of mammal set but not a member of the dog set. Physical Thing is a superset of mammal. Ball is member of physical things but not a member of mammal.
Black is a set and the members are Steve, Harvey and Alyssa. Student is a superset of Black, Justin is a member of student set but not a member of Black set. American is a superset of student and Linell is a member of American but not a member of student subset.
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27 comments
THIS GUYS' OBSESSED W/ FAT CATS LOL
Set theory is pretty fascinating. I love Russell's paradox: According to the unrestricted comprehension principle, for any sufficiently well-defined property, there is the set of all and only the objects that have that property. Let R be the set of all sets that are not members of themselves. (This set is sometimes called "the Russell set".) If R is not a member of itself, then its definition entails that it is a member of itself; yet, if it is a member of itself, then it is not a member of itself, since it is the set of all sets that are not members of themselves. The resulting contradiction is Russell's paradox.
inSETption
Going back to do my foundation lessons because I am the worst studier and skipped ahead to LR lol
I think I get it - subset is small and the super set is big
subset: pizza
superset: food
This is where it all started to go wrong for me lol. In all seriousness, the whole necessary vs sufficient and subset vs superset thing is what catches me out the most, probably because its never this simply outlined in the actual questions.
substet is a category in a superset
Feeling kind of annoyed that I was sent to the old LSAT schedule and not the new one from the start. I just wasted a day and a half on the old schedule, and it's unclear what I need to do, and what I need to skip on the old one.
subset: Dog
superset: Animals
I though we would get a picture of the Car
show cat
Hopefully i got this correct
Dog is the set and the members are Fido, Lassie and Marmadue. Mammal is a superset that dog is in. Simba is a member of mammal set but not a member of the dog set. Physical Thing is a superset of mammal. Ball is member of physical things but not a member of mammal.
Black is a set and the members are Steve, Harvey and Alyssa. Student is a superset of Black, Justin is a member of student set but not a member of Black set. American is a superset of student and Linell is a member of American but not a member of student subset.
At this point we need a pic of Athena!
a little confused how this will relate to actual questions on the LSAT but we will see!
all of a sudden the stuff i learned last week is starting to make more sense #lol
You think you just fell out of a coconut tree? You exist in the context of all in which you live and what came before you
whoever said to ask chatgpt for example questions for certain topics is a God. I was struggling with this particular topic, will not lie.
Can a set contain another set? Can a set contain only one entity? Can a set be empty?
Excited to learn more about logical reasoning!
Now how about a subset of donkeys? Pretty clear indeed.
pretty clear!