Discrete Math - 2.1.2 Set Relationships

Sets, subsets, proper subsets, cardinality, tuples and the Cartesian product.

Video Chapters:
Introduction 0:00
Set Equality 0:23
Subsets 1:47
More on Subsets 3:31
Proper Subsets 5:45
Cardinality 7:30
The Power Set 8:56
Tuples 11:10
Cartesian Product 12:01
Truth Sets and Quantifiers 13:44
Up Next 14:47

Textbook: Rosen, Discrete Mathematics and Its Applications, 7e

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Im learning more from your videos then from my class I'm so glad you posted the entire course!

[salehsssso]

Thank you, I study discrete math from you,
Unfortunately our teacher is very bad and I couldn't find a better one than you.
God bless you

[cyberizer]

The way you explain the math concepts really simplifies things and makes it much easier to grasp. Thanks for making math less overwhelming!

[tofr]

Thank you. I've found your video is 1000x helpful than my college online teacher. Your presenting technique and content are way easier to grasp.

[jackiep]

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[Carrymejane]

U are answering my whole question about proper subset, great explanation

[red-svqf]

Just a thoughtful suggestion -- it would've probably been better if you could offer an example after each definition just so it sticks.

[jamesmyrthong]

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[jonathanlibesa]

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[Dhalinta_media]

i learned what i didn't learned from my class thank you very much

[zhannavlasova]

THANKS for your videos! i learned the whole year of DM from you!

[raiyanreza]

At 3:04 shouldn't the arrow sign be a biconditional arrow instead of the conditional arrow since its "iff"?

[qidex]

These are well explained, but I admit I am used to hearing it pronounced "tooples".

[kaskai]

You said the cardinality of power set with n elemnets is 2^n. What happen if the power set contains duplicate eg A = 0, 1, 1, 2, 3

[mcisaac]

I have a question 10:32
What about also adding {{}, 0, 1, 3} so that |P(A)| becomes 9???

[ojichan]

at 10:26, shouldn't there be (1, 1) and (2, 2)????

[jk]

So many ads in just 15 mins video.... each time I skip some seconds, ad pops up. Never seen this much ads in one video, not just this one but in all of yours this course videos. So irritating it is!

[aryamanbahuguna]

One Question at 7:15, you write the statement-> ∀x(x∈A→x∈B) ⋀ ∃x(x∈B ⋀ x ∉ B)
Could I write the following-> ∀x(x∈A→x∈B) ⋀ ∃x(x∈B → x ∉ B)
Why/Why not?