Power Set of the Power Set of the Power Set of the Empty Set | Set Theory 

I think I asked a question about this in one of your other videos, and now I conveniently stumble upon this... Thanks a lot for the explanations! You're a life saver.

This is a real beautiful math lesson, I cannot be grateful enough with you for delivering such a pleasure of topics. Yes I do know this is a topic displayed in any set theory book but what you can grasp just reading a book compared to the level of insight you get from this channel has a substantial significance. Thank you again so deeply.

Thanks a lot!!I am from India....Most cool thing about the video was the usage of different colours to write empty elements to get rid of the confusions.....Thanksssss

Salute you dedication , you wrote all 16 elements this is insane

I am from India, I did not understand such questions of sets at all, thank you sir your way of explaining is very easy . I have shared your youtube channel with all my friends. Thankyou sir for your great explanation on this topic . Plz. Sir also make a video to solve physics, maths and chemistry in numerical in easy way

I love learning power sets even though I am 8 years old what is the set of set be though I know the set a but I don't know b or c

Interesting video but also What's Cardinality of P{P{1,2}}?

11:10 "if we wanna be crazy... what would that bad boy be"😂😂😂😂😂😂😂

Cool thing I noticed was that the cardinalities of repeated powersets follow a sequence that is defined under tetration: ^n2(n is raised before the 2).

Nice question. One I never thought to ask myself. Best kind of thumbnail too -- One that invites you to solve it before you even click.

Thank you so much sir love from india 🇮🇳 .

Iam from India cool teaching sir

That last one is hilarious. Great lesson! :)

You are good teacher

thank you very much

This was a huge help!

Hello From which video should we start to understand Sets subject from very beginning?

Thank you so much! This was very helpful!!!!!

For the next iteration, run this on the Sage Cell Server: list(powerset(powerset(powerset(powerset(powerset([]))))))

Technically (and logically), the correct conclusions to be drawn from the fact that a set is not a subset of A are 1) the proposition, "All the elements in the set are elements in A," is false, and 2) the set itself is not an element of A. So, since the empty set has no elements, then the proposition, "All the elements in the empty set are elements in A," is false. Therefore, if the empty set is not an element of A, then it's not a subset of A. I figure the real reason the empty set is always included in the power set is just because it's a convention, perhaps because it simplifies something somewhere. Though, I don't know what or where.

ALHAMDULILLAH! I solved it very well.

Never knew Logic was a math genius.

best explanation

thanks a lot buddy

If you to a shot of vodka every time he said "set" you would be definitely dead now.

Starts at 1:20

I have a doubt in that 6th set of last question,,,how did u get that?

Sir, what will the power set of a={φ,1,2}

Sir, I have a doubt.

4:20 *_"The empty set isn't super weird. It's just a set that has no elements."_* ... So, you think that having a "set of no objects" isn't weird? Will I be able to impress the ladies with my beautiful "set of no Lamborghinis?"

What's the difference between p(0) and p({0}) ?

For the chaos of Maths!! XD

1:58 Where can I find that video?

What about P(A) if A=( 1, (1,2), (1,2,3) ?

Yo dawg, I hear you like the empty set

5:05 of this bad boy😂😂😂

It was precisely at 2:28 that I shit myself.

solution in such a way that u write Pn(ø) in terms of Pn-1(ø)

Take a shot every time he says set.

Can I share with you

what if A=Ø ?

0:00 that intro caused disrespect..... bad intro. Are you dissing set theory

5:58 what a joke😂😂😂

@Wrath of Math: I am a little confused. You said that every set is a subset of itself which actually makes sense to be but I was watching The Trev Tutor says it is not always the case (see his explanation at 12:05). I am confused. Which one is it? Please explain. Thank you ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-H5D6EAezsXQ.html

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Thank you so much. It was really really helpful.