No. |S| is the number of elements in the set. The set has infinitely many elements, therefore |S| = infinity. That's all there is to it, no more, no less. The fact that the elements of S are all negative is completely irrelevant. In general, cardinality doesn't care what the elements are, only how many there are.
Two horrible (Edit: NOT horrible) examples, I'm sorry. I keep finding info from different sources saying that a sequence with {1,4,4,4,6} has a cardinality of 5 and others saying it has a cardinality of 3, but the vaaast majority show examples with NO repeating or skipped values, which destroys any attempt to figure this out.
So, you're saying these examples are "horrible" because they don't include repeated values, or is there something else you don't like? Sets with repeated values are called multisets and are a completely different thing that I've never seen covered at the intermediate algebra level. Sources saying {1,4,4,4,6} has cardinality 5 are treating it as a multiset and I'd be shocked if those were aiming at an intermediate algebra audience. Sources saying it has cardinality 3 are trying to reinforce the requirement that sets don't have repeated values.
@@TheInfiniteLooper Thank you for the explanation! I talked with my prof and she had messed up in the explanation of what we were learning, editing my original comment.
thanku sir it is useful for my jee preparation...who else is here after mathongo class
I want these youtubers to teach me rather than my senseis to be honest.
Oh man
R u from Japan
Do u say your teachers 'senseis'
By the way good profile photo 'killua'
👍
I am also anime fan
@@badidea9262 I am half-Japanese and half-Filino:))) also, hello co-weeb;)
@@oyaoyaoya1194 I knew it
@@siphobrisloks8133 why? Do I sound Japanese and Filipino?? Lmao
@@oyaoyaoya1194 yeah you sure sound like one
But did you even finish your modules?
And your name is obvs
Thanks, it does helpful with my study.
Thank you so much. Sir
This one is simple explanation but you can understand the most.
I am from Bangladesh.I am a student of Computer Science and Engineering Department .Thanks a lot sir.
Sir please can you explain me.
(If A is a subset of B then show that coordinality of A is less then coordinality of B)
Thank you
This is really helpful, thanks
yo your recent
what is the cardinality of a non-zero integer?
thank you sir.. clear explanation
Thank u it helps me a lot in class.
Thank you sir, it's really thankful for me.
Thank you, the video was helpful.
Shouldn’t the cardinality of E be aleph null since it’s well ordered
This video is aimed at Intermediate Algebra students, so, no.
@@TheInfiniteLooper uh okay haha
Thanks sir I am from India
Good work I like it. It was interesting
Loved the explanation, but them hands? Sinful. ❣️
3 examples each on finite and infinite
Good
damn Ive learned more stuffz from youtube than school XD
legend
Shouldn't the |S| = - infinity, instead of infinity?
No. |S| is the number of elements in the set. The set has infinitely many elements, therefore |S| = infinity. That's all there is to it, no more, no less.
The fact that the elements of S are all negative is completely irrelevant. In general, cardinality doesn't care what the elements are, only how many there are.
I h8 algebra
What do you say that what is a meaning of mathematics cardinality set ...sorry sir thank you
Im,so sorry sir excuse me
like all plsss
Dld Ka Topic PLD krwa dy
it is fi nit not fine night
ERIC JOHN DEL ROSARIO nope, at least not in American English. You can check the pronunciation in any English dictionary.
Makes no sense I'm in 7th grade this shit makes no sense
Two horrible (Edit: NOT horrible) examples, I'm sorry. I keep finding info from different sources saying that a sequence with {1,4,4,4,6} has a cardinality of 5 and others saying it has a cardinality of 3, but the vaaast majority show examples with NO repeating or skipped values, which destroys any attempt to figure this out.
So, you're saying these examples are "horrible" because they don't include repeated values, or is there something else you don't like?
Sets with repeated values are called multisets and are a completely different thing that I've never seen covered at the intermediate algebra level. Sources saying {1,4,4,4,6} has cardinality 5 are treating it as a multiset and I'd be shocked if those were aiming at an intermediate algebra audience. Sources saying it has cardinality 3 are trying to reinforce the requirement that sets don't have repeated values.
@@TheInfiniteLooper Thank you for the explanation! I talked with my prof and she had messed up in the explanation of what we were learning, editing my original comment.