Great, after watching dozens of videos, eventually I learned it. Thank you so much
@3693-u7d
2 жыл бұрын
Very clear & perfect Thxx
@beknowledgeable5558
3 жыл бұрын
Sir natural numbers start from 1...not from 0 .... there are the whole numbers start from 0...so can you tell me why u are saying such sets ...THE SET OF NATURAL NUMBERS???
@paulu_
2 жыл бұрын
0 is a natural number. Integers don’t have a starting point.
@lucianopollicino
Жыл бұрын
@@paulu_ My book says they do start from 1. Why it has to be so confusing? Why isn't there a convention which states where N numbers starts from?
@johncarlson6726
3 жыл бұрын
0 is not a natural number. The set of natural numbers begins with 1.
@alejandromendoza7778
3 жыл бұрын
I UNDERSTAND THANK YOU
@themegasalamence6987
4 жыл бұрын
ℵ0
@wynnier8440
4 жыл бұрын
Finally!! I understood uncountably infinite set. It is very helpful. Thx
@mahialwahid2525
4 жыл бұрын
Now in a countable infinite set what is the state of "alef" when we take the set from 0 to minus infinity? What happens in the mapping then? Besides what if we count from minus to plus Infinity? What happens then?
@Michael19841
3 жыл бұрын
What happens is one set is countably infinite and the other is uncountably infinite. That’s Cantor’s proof and he was the first to discover it. A genius.
@arkapravamad7
Жыл бұрын
(-infinity, 0) can be map with ℕ⨯ℕ By f(m,n)={-m/n : m∈ℕ, n∈ℕ} And ℕ⨯ℕ is countably infinite set . But it is only for set of rationals.
@mathkitchenrecipes2715
4 жыл бұрын
For further details visit this kzitem.info/news/bejne/q66e0ImIrIGYnnY
@tahabekmez5072
4 жыл бұрын
thanks dude
@smtusharibnesalam8688
4 жыл бұрын
Your video gives me the hope to continue study mathematics. Thanks
@invictusgaming3622
4 жыл бұрын
does the sequence have to be a 1 or 0 ? can it not takes any other values
@Michael19841
3 жыл бұрын
They’re examples of countably and uncountably infinite sets. Cantor’s proof is the important thing not the examples of the sets chosen.
@kniix
5 жыл бұрын
godlike explanation.
@James-zn4jl
5 жыл бұрын
Excellent thank you sooo much
@rajendramisir3530
5 жыл бұрын
Excellent explanation and examples used to teach these concepts. Very helpful and thanks!
@zakisyed4814
5 жыл бұрын
Good work You cleared my confusion regarding subsets...
@nolanlego
6 жыл бұрын
Thanks!!!
@ranjithabagar9646
6 жыл бұрын
Very helpful
@jehmacapagal3804
6 жыл бұрын
0 belongs to the set of whole numbers. The set natural numbers/counting numbers includes 1,2,3,4 etc.
@Michael19841
6 жыл бұрын
No shit Sherlock
@drfpslegend4149
6 жыл бұрын
God damn it, I have to know this material in 4 days from now for my set theory final :'(
@kateyepawtch
4 жыл бұрын
saaaaaaame exactly same for me rn lmao
@TheCrazySweed
4 жыл бұрын
How'd it go?
@serinacat4781
6 жыл бұрын
please add more videos, your videos are good
@serinacat4781
6 жыл бұрын
very good
@serinacat4781
6 жыл бұрын
explained the complicated thing in a easy way, thank you
@TheSmartgutt
7 жыл бұрын
Hmm. I Don 't get it with the s'
@pingfire7
7 жыл бұрын
thank you so much for this video! I finally understand uncountably infinite sets :D
@choctawliz
8 жыл бұрын
you sound like bob from bob's burgers.......
@alejandroapuada6707
27 күн бұрын
😂😂😂
@AndreFloresRND
8 жыл бұрын
zero is not a natural number :(
@danielmc12
7 жыл бұрын
It's debated, some argue that 0 is a natural number and a fair amount of computer scientists tend to be on the side of 0 being a natural number.
@Phethario
7 жыл бұрын
Zero is, together with one, the only "real" natural number. Everything else is mathematics and therefor abstractions. Either something is there, or it isn't. This requires an quantified space-time continuum though.
@datatutashxia9554
7 жыл бұрын
in discrete math 0 is considered as a natural number
@serinacat4781
6 жыл бұрын
it is natural number
@DevCasey
6 жыл бұрын
Thats like debating someones point because they had a grammar error in their argument.
@greggold128
8 жыл бұрын
adn please let me more about math cause i need in highschool ok please
@greggold128
8 жыл бұрын
nice i want to learn that thing in high school thanks
@nymfo12
8 жыл бұрын
thanks!
@christophersedlak1147
8 жыл бұрын
Thanks
@1234s6
9 жыл бұрын
But in the case where you take the power set of the set containing 1 and 2 you have only 3 elements(0, 1, 2) and not 2^2 elements?
@maleeha9482
6 жыл бұрын
aeroO bics 2^n is used for finding no of subsets not no. Of elements in a normal set...but since subsets are the elements of a power set therefore 2^n gives us the no. Of elements only in power sets ...so we need to keep in mind that if eg we have (1,2)
@maleeha9482
6 жыл бұрын
Its subsets are ((1),(2),(1,2),null set).so the formula applies here 2^n ..here n=2 therefore total subsets =4 and so are the total elements of the required power set
@nakulharidas3902
9 жыл бұрын
0 is not a natural number.
@lukemorgan3488
9 жыл бұрын
+Nakul Haridas This is highly debated in mathematics, and many see 0 as such.
@ernestooropeza6150
9 жыл бұрын
I've watched all of your videos and saw that they were good.
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