I really like how you encourage people in the beginning of the video. I struggle severely when it comes to math, and I always feel so stupid and useless when I don't understand something. Your words made me feel like I can take my time and really try hard to learn something without feeling bad! Very well explained and such a huge help, thank you so much! It's hard to find people who will teach things for free, or without having to pay a subscription, so people explaining things like this on the internet is so important. Thank you so much, and keep doing what you're doing!
I have chosen a career that has to take finite math in college. At first I was Very intimidated, but saw your video and it took me to place where I am not anymore. Thank you!!!
Thanks Brandon, for the video. Just wanted to point out that in set theory, equal sets and equivalent sets do not mean the same things. Set A is equal to Set B means that set A & set B contain exactly the same elements, while equivalent sets contain the same number of elements!
P.S. Do you have other videos regarding sets & operations & notations that include basic set identities, classification and countable? Our professor is asking us to simplify problems and it would be great if I could see some of your examples. I hope you do have some somewhere!
Would you please check? As far as I remember ,{ }=empty set symbol is correct. But empty set symbol is not equal to {empty set symbol}.Just want to check with you.
Studying finite math. Have a few questions about this video. { } is the symbol for empty set. Null symbol means something completely different, right? There is a difference between equal and equivalent - cardinality - right?
+Reluctant Gypsy In set theory, an empty set is symbolized with either ∅ or { }. So you can use Z = ∅ or Z = { } to mean an empty set. The notation mentioned in this video can be a bit confusing because Z = {∅} can also mean that Z is a SET of an EMPTY SET which is not the same thing as just an empty set, just like M = {1} is not the same as M = { {1} }.
There's a mistake at minute 14, the empty set is a subset of J, but you wrote a "set that contains the empty set", and that is not a subset of J. There is a difference between the empty set and a set that contains the empty set.
I have a one dougt sir in 9.13 u say E is a subset of N and E=N .How is it possible sir.mostly we write E is a subset of N and N is a subset of E.Then we write E=N
