Biconditional Statements | "if and only if"

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A biconditional statement is one of the form "if and only if", sometimes written as "iff". The statement "p if and only if q" means "p implies q" AND "q implies p". That is, it is a conjunction of two individual conditional statements. In this video we will see how to write and interpret sentences using if and only if notation.
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Опубликовано:

6 сен 2024

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Комментарии : 89

@mileshollis6258 6 лет назад

I'm surprised you don't have any comments! Your discrete math series is saving me. My professor is the lowest rated prof. at my university. Super nice guy, but I'm forced to take his class. Without your series I'd have a hell of a time passing this course. Thank you

@Jason-ey2jy 2 года назад

Additional sources of explanation are really helpful. But I jive with this guy's train of though really well. Thankful I found this vid as you have. I've had trouble understanding this concept way back in high school, glad I have RU-vid nowadays.

@siddhartharaja9413 5 лет назад

If my friend study hard,then I will pass

@shankCR7 5 лет назад

lol gandu xD

@jayliu6076 4 года назад

Maybe you both fail, lol

@anotherjourneyman8411 4 года назад

what?

@shantadas529 4 года назад

🤣🤣🤣

@obeng-yeboahk.d1914 3 года назад

😂😂

@joneswafula 4 года назад

May God Bless you. You helped me get an A in Discrete Math!

@fanyp8846 4 года назад

Discrete?

@paradigmshift2223 3 года назад

More important than your A is the fact you mastered the material and have added knowledge! (An A is awesome though, lol)

@JeromeProductions 2 года назад

It really is discrete..

@josephpostma1787 Год назад

@Fany P I suppose that the definition of Discrete is discrete (not in the tautological sense).

@harrydix7012 4 года назад

You are saving so many people so much time and headache. Your conciseness is surprisingly rare. Thank you

@mattwilliams1844 4 года назад

"Look at my phraseology here", you are like the Sham Wow guy of Discrete Math. Don't ever stop

@hummah4093 3 года назад

It's the very first time that I understood this concept through your video. Thank you

@SassePhoto 2 года назад

If and only if I listen carefully to this excellent video then I will understand the logic of if and only

@IsaAbuhuseina Год назад

Can anyone please answer this question for me? I'm really confused! Q. For an implication "p implies q", if "q" becomes hypothesis and "p" becomes conclusion, then it is ______ of the given implication "p implies q".

@clockfixer5049 4 года назад

Brilliant work, especially as a supplement to a textbook 'Essential discreet mathematics for computer science'. The content in the book gets hairy at times and going through your vids rekindles the knowledge and establishes the much-needed connectivity. Cheers from Moscow, Russia!

@nekomaru3679 4 года назад

Note, "if and only if" -> iff. (shorthand)↔⇔≡⟺

@test-kt4tk 2 года назад

Love your explanation, it’s clear and easy to understands tq

@BecomingYou101 5 лет назад

This sure helped me alot!

@thomasdrew1618 5 лет назад

Thank you for the informative videos! They are incredibly helpful. I just wanted to point out that the title of this video says "Bionditional" instead of "Biconditional" but we all knew what you meant. ;)

@thomasdrew1618 5 лет назад

Trefor Bazett no problem! Thank you for your excellent content!

@khirzaydenmalapote7827 Год назад

i love the vibe man, seems like you're really enjoys teaching this

@zuhoor2000 2 года назад

ايه هذول المدرسين الصح ما شاء الله

@theuberman7170 3 года назад

I seriously don't understand why professor just make everything harder.

@belgianheskey 2 года назад

u saving lives doctor tre

@saityusufbulur3366 Месяц назад

We can think of the difference between conditional and biconditional as follows. "If I study hard, then I will pass the exam" means "If I list the possible reasons for passing the exam, "studying hard" is 100% included in that list. This is not the only reason, but it is one reason." On the other hand, "I will pass the exam if and only if I study hard" means "In the list of possible reasons for passing the exam, there's only one element, and it is "studying hard". There is no other reason."

@graceoyediya Год назад

Here in 2023 ☺ Happy i got to ur channel

@kobbygbena861 Год назад

I really appreciate this great content but, i think adding its truth table would've been super.

@MrMemeDuck2023 7 месяцев назад

Thank you!!! This really helps clear things up and super concisely too!

@Yuzner 6 лет назад

Its is really helpful ) thanks a lot

@JJ-ck9iy 2 года назад

What is a stop statement in the video Biconditional Statements| "if and only if " at 2:24?

@nrm7747 3 года назад

Thanks again

@ShahinaAkhter 5 лет назад

you are a great teacher...

@kent631420 6 месяцев назад

if that girl is you, then I love her If I love that girl, then she must be you

@zayfex Год назад

this saves my time studying.

@burgerwithcheese6087 2 года назад

thank you, you are better than my teacher

@JungKookOfficiaI Год назад

thanks

@jo-ww8dt 3 года назад

What if it's p^~p, would it be 'my shirt is not gray but my shirt is not gray.'?

@DrTrefor 3 года назад

haha yup, which gives waht we call a contradiction

@jo-ww8dt 3 года назад

@@DrTrefor the statement doesn't seem to make sense but oh well, that's math haha, thank you!!

@PavanKalyan-il6gz Год назад

Good Video Sir Thank you so much for making this video👏

@josephpostma1787 Год назад

To take your statement "I will pass the test if and only if I study hard", if you study hard and go for a walk, it would seem that you would not have passed the test. I know that your statement means that you can not pass the test if you do not study hard, it would seem that "iff" just has an additional unintentional literal meaning.

@arnabtrx 2 года назад

Thanks to you sir.

@sammy_vee 2 года назад

I'm learning this to learn something new. Also, from what I have read Discrete math is a great foundation to have when moving through mathamatics. Thank you for having this series available for free! I'm going through all of it.

@alliedawareness2202 4 года назад

it's basically saying "visa versa" in math terms

@FalconsFuryGaming 4 года назад

These are really helpful, thanks!

@tusharpapnai2907 4 года назад

hey , thanks for the nicest explanation

@makayladejear7183 4 года назад

thank you, this helped

@paaulsales 7 месяцев назад

SO HELPFUL!! 🤑🤑

@danizelikman1688 4 года назад

i have a question when we use in language the words " only if" i translate it us the only condition is it also true in math ?

@anshugupta793 Год назад

Sir but how do we make sure that there no other condition that implies 'p' I say you that there is a statement x implying 'p' Now there are 2 cases you can either figure out x or you are unable to figure out x If you are unable to figure out x then I can say that your prove is incomplete If you are able to figure out x going by the worst possible scenario that you also prove that x is not implying 'p' but I can say you that there is another statement y implying 'p' now we can repeat this process again and again So, sir you must prove that there is no other statement implying p