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
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 RUclips nowadays.
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!
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. ;)
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.
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."
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.
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".
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”!
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
![[SFM] Risky Recital](http://i.ytimg.com/vi/RzNkY1_Nk3o/mqdefault.jpg)
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
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 RUclips nowadays.
"Look at my phraseology here", you are like the Sham Wow guy of Discrete Math. Don't ever stop
May God Bless you. You helped me get an A in Discrete Math!
Discrete?
More important than your A is the fact you mastered the material and have added knowledge! (An A is awesome though, lol)
It really is discrete..
@Fany P I suppose that the definition of Discrete is discrete (not in the tautological sense).
You are saving so many people so much time and headache. Your conciseness is surprisingly rare. Thank you
If my friend study hard,then I will pass
lol gandu xD
Maybe you both fail, lol
what?
🤣🤣🤣
😂😂
It's the very first time that I understood this concept through your video.
Thank you
i love the vibe man, seems like you're really enjoys teaching this
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!
If and only if I listen carefully to this excellent video then I will understand the logic of if and only
Love your explanation, it’s clear and easy to understands tq
Thank you!!! This really helps clear things up and super concisely too!
u saving lives doctor tre
I seriously don't understand why professor just make everything harder.
if that girl is you, then I love her
If I love that girl, then she must be you
You're the best professor
Here in 2023 ☺
Happy i got to ur channel
This sure helped me alot!
Note, "if and only if" -> iff. (shorthand)↔⇔≡⟺
this saves my time studying.
thank you, you are better than my teacher
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. ;)
Trefor Bazett no problem! Thank you for your excellent content!
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.
30 secs in and understood it fully
ايه هذول المدرسين الصح ما شاء الله
What is a stop statement in the video Biconditional Statements| "if and only if " at 2:24?
Good Video Sir Thank you so much for making this video👏
I really appreciate this great content but, i think adding its truth table would've been super.
you are a great teacher...
Its is really helpful ) thanks a lot
thanks
This really helped!!
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."
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.
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".
it's basically saying "visa versa" in math terms
Thanks again
This slight passive agression is what i yearn for
hey , thanks for the nicest explanation
Thanks to you sir.
These are really helpful, thanks!
SO HELPFUL!! 🤑🤑
I wish he were my teacher
thank you, this helped
You looking cool sir ✌
What if it's p^~p, would it be 'my shirt is not gray but my shirt is not gray.'?
haha yup, which gives waht we call a contradiction
@@DrTrefor the statement doesn't seem to make sense but oh well, that's math haha, thank you!!
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 ?
It's 2 am, need to be awake by 5 am and I'm searching if and only if meaning Lol
it's has the sense of "vice versa"
Nice video bro
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”!
You are amazing.
THANK YOU VERY MUCH !
Hmmmm . here is a challenge for you Dr Bazett . Try translating this sentence into symbolic form .
Only students who study pass this course.
Ah doctor I meant turning it into P and Q XD
p: "I studied"
q: "I passed"
p q
p
Double head arrow used in the biconditional
Wow 🎉🎉🎉❤
Dr Trefor thinks he's 4 brown 6 blue
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
if and only if
do you seriously write backwards!?
Saved me
can't we just say "I will pass only if I study hard"?
#salamatTREFOR
If I subscribe your channel then I see your next videos
haha very true!
Our sins will be forgiven if and only if we confess them to God. 1 John 1:9
Bad example if (not biconditional) you ask me.
Nice video bro