Biconditional Statements | "if and only if"

[@mileshollis6258]

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]

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 KZbin nowadays.

[@joneswafula]

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

[@fanyp8846]

Discrete?

[@paradigmshift2223]

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

[@JeromeProductions]

It really is discrete..

[@josephpostma1787]

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

[@siddhartharaja9413]

If my friend study hard,then I will pass

[@shankCR7]

lol gandu xD

[@jayliu6076]

Maybe you both fail, lol

[@anotherjourneyman8411]

what?

[@shantadas529]

🤣🤣🤣

[@obeng-yeboahk.d1914]

😂😂

[@harrydix7012]

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

[@mattwilliams1844]

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

[@hummah4093]

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

[@khirzaydenmalapote7827]

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

[@SassePhoto]

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

[@test-kt4tk]

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

[@belgianheskey]

u saving lives doctor tre

[@MrMemeDuck2023]

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

[@kent631420]

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

[@BecomingYou101]

This sure helped me alot!

[@theuberman7170]

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

[@atena7706]

You're the best professor

[@graceoyediya]

Here in 2023 ☺ Happy i got to ur channel

[@zuhoor2000]

ايه هذول المدرسين الصح ما شاء الله

[@clockfixer5049]

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!

[@burgerwithcheese6087]

thank you, you are better than my teacher

[@zayfex]

this saves my time studying.

[@ShahinaAkhter]

you are a great teacher...

[@thomasdrew1618]

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]

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

[@kobbygbena861]

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

[@Yuzner]

Its is really helpful ) thanks a lot

[@JungKookOfficiaI]

thanks

[@nekomaru3679]

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

[@JJ-ck9iy]

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

[@MuhammadAhmed-u4y4q]

This really helped!!

[@PavanKalyan-il6gz]

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

[@arnabtrx]

Thanks to you sir.

[@nrm7747]

Thanks again

[@alliedawareness2202]

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

[@IsaAbuhuseina]

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".

[@GVM69]

This slight passive agression is what i yearn for

[@tusharpapnai2907]

hey , thanks for the nicest explanation

[@makayladejear7183]

thank you, this helped

[@FalconsFuryGaming]

These are really helpful, thanks!

[@sammy_vee]

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.

[@josephpostma1787]

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.

[@wegu9423]

I wish he were my teacher

[@paaulsales]

SO HELPFUL!! 🤑🤑

[@Nooran44]

THANK YOU VERY MUCH !

[@wisewise7396]

it's has the sense of "vice versa"

[@saityusufbulur3366]

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."

[@shaileshajagare6826]

You looking cool sir ✌

[@naimalsheikh5948]

You are amazing.

[@jo-ww8dt]

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

[@DrTrefor]

haha yup, which gives waht we call a contradiction

[@jo-ww8dt]

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

[@AlviTVBD]

It's 2 am, need to be awake by 5 am and I'm searching if and only if meaning Lol

[@wc-gaming_hell]

Double head arrow used in the biconditional

[@yamachu3148]

if and only if

[@danizelikman1688]

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 ?

[@nithinps165]

Nice video bro

[@BrendahBirungi-j1q]

Wow 🎉🎉🎉❤

[@cbsteffen]

How about this? “If a person is 5’7” or taller, that person is too old to go trick-or-treating on Halloween.” That is what people say if and only if they also say that Halloween is for “little kids”!

[@Diamond_Hanz]

Dr Trefor thinks he's 4 brown 6 blue

[@JeromeProductions]

Saved me

[@rockyjoe3817]

Hmmmm . here is a challenge for you Dr Bazett . Try translating this sentence into symbolic form . Only students who study pass this course.

[@rockyjoe3817]

Ah doctor I meant turning it into P and Q XD

[@gamerdio2503]

p: "I studied" q: "I passed" p q

[@ydrojzelf]

p

[@anshugupta793]

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

[@PlanetXtreme]

do you seriously write backwards!?

[@bellyrics1796]

#salamatTREFOR

[@Duke-sy5ih]

can't we just say "I will pass only if I study hard"?

[@lilug2744]

If I subscribe your channel then I see your next videos

[@DrTrefor]

haha very true!

[@markrademaker5875]

Our sins will be forgiven if and only if we confess them to God. 1 John 1:9

[@DobarDabar]

Bad example if (not biconditional) you ask me.

[@nithinps165]

Nice video bro