PREDICATE LOGIC and QUANTIFIER NEGATION - DISCRETE MATHEMATICS

[@Trevtutor]

Check out my new course in Predicate Logic: trevtutor.com/p/master-discrete-mathematics-predicate-logic It comes with video lectures, text lectures, practice problems, solutions, and a practice final exam!

[@durimmiziraj4815]

You are hands down THE best youtube tutor I have ever come across. Great job! May you find yourself rewarded in ten fold.

[@meghnabisht571]

this topic can"t be so easy without this explanation..

[@thragg00]

A1 handwriting dude

[@rogersmith258]

You are a godsend! My professor only left us with incomplete slides and a textbook that doesn't go into depth on the topic.

[@imaginecloudsxo7987]

You are honestly an explanation god!! I found your videos a few months ago and they literally saved me. You explained Predicate Logic soo well and easily. I appreciate it a lot. The fact that I get so excited when I know that you have already covered a topic that we cover at Uni and that I get to see your videos on that specific topic is crazy haha.

[@jorgemath6070]

I'm a latin young and is amazing your explaning form, currently don't speak english very well, but i can understand you clearly, just this trimester i'm taking discrete mathematics! I'm studying BS in Mathematics

[@maryammehboob8285]

Thank you man .Now I understand the concept of propositional logic,predicate logic and quantifiers.GOD bless you.

[@jasonr5248]

Nice videos man, you do a fine job teaching discrete math.

[@klevisimeri607]

More easy way to derive the formulas: For quantifiers: ¬∀x ∃x 1. Multiplying with "not" both ways (like multiplying with minus both ways): ¬¬∀x ¬∃x ∀x ¬∃x 2. For function just multiply the not: ¬(P(x)) ¬P(x) So for example: ∀x P(x) Do distribution of not: ¬(∀x P(x)) Like multiplying (with not in out case): ¬∀x ¬P(x) Using 1. : ∃x ¬P(x)

[@kooner3]

im gonna shove that negation through like it aint nobodies business. Thanks for the tutoring T.

[@jackmenirons4989]

Stumbling across my fifth Discrete Math course and finally someone cares enough to actually explain the backwards E. There are way too many bad Discrete Math courses out there. This is a godsend.

[@okidave]

Boom, I finally get it after this video versus reading the text and university provided references.

[@craiggray7110]

Wish I could up vote this video unlimited times - you are a boss at explaining everything

[@shubhamsrivastava337]

man u made the damn thing pretty easy. thanx man :)

[@mater5930]

I used to struggle with negation until I heard "Not all dogs are brown". I used that same example for every other negation, now it's all intuitive. Thanks a lot, man.

[@rasmusdeneergaard5114]

Dude you are saving my sanity with these videos, thank you so much!

[@courageandpeace1944]

that was a great tutorial you made this so easy for me with love from INDIA 🇮🇳

[@saulhlupo8427]

These videos are really helpful, thank you very much for coming up with such great ideas

[@Thech0sen.1s]

If you want to get a good grade for the year, listen to this guys steps, he Actually breaks it down step by step,

[@DonaldStephen07]

I am teaching this subject this semester and your video helped me to better explain the topic. Thanks!

[@shirazlittlebunny4529]

Love your explanations, always clear. Also just loves listening to you, nice voice and nice handwriting. Thank you for your content 🫶🏻

[@serik3818]

I want to say that you are the best teacher on Earth, thanks to you I can pass this exam )

[@thomasmorin2496]

It all makes sense now

[@tomnguyen8520]

What a great video! what you are doing is helping me so much ! I have to study online without having online lecture or explanation and only having scripts of the lecture after the course.

[@zabiiaryan8325]

Can you tell us why our professor is not doing the same? Appreciate it you are a life saver.

[@lancelofjohn6995]

Cool method to understand the meaning of negation of first order predicate logic.

[@joshakads5307]

Good job. It's gonna been great for me to learn more about your study

[@ramrodriguez2068]

Man thank you, we have a fresh grad mechanical engineer as a professor for this subject with no teaching experience. The exams have been hell. Much appreciated man~

[@rickkar6789]

Thank you, from the bottom of my heart.

[@nikletagoneva9905]

All of these videos for logic are awesome! Very helpful and well explained! THANK YOU!!!

[@yash7891]

You sound like James from Casually Explained

[@dtirey]

Very helpful, but have one question. On the last problem, why didn't the quantifiers flipped and negated like the four practice problems before? Thanks

[@alfahad7704]

Such a nice and clear video. Learned a lot.

[@santoshupretimadara]

thanks ur videos help a lot in this dire situation..it helped me understand many things that i couldn't do from online class

[@lahaag3310]

Thank you. My textbook is absolutely hopeless at explaining this stuff.

[@jennysanchez822]

Thank you for sharing this knowledge! It was very helpful!

[@dairoleslieann9921]

YOU ARE GOOD IN TEACHING THIS IS SO HELPFUL !

[@abdurrahmandemiri1766]

How is that possible : Consider:A is the universal quantifier and E is the existential quantifier and this notation as prime(*) Negation of AxP(x) is *Ex*P(x). On the other hand, when it comes to the question in the 13:25 Consider R(x,y) is the propositons in the brackets. So shouldn't be the negation of Ax[EyR(x,y)] ==> *Ex*Ay*R(x,y) corresponding to the rule above. Because we can consider P(x) as EyR(x,y) so that will be *Ex*[EyR(x,y)] and if we continue in the same way we get *Ex*Ax*R(x,y).

[@Peanutzard]

The negation of AxP(x) is Ex*P(x), what you stated was a logical equivalence.

[@clee375]

You are a great teacher! Thank you so much for creating the videos!

[@panic9725]

great vid. nice job man

[@sahilpatel0701]

Thank you for saving my life!

[@janjanhernaez1004]

Dude you deserve more subs and likes.

[@monikabindal9544]

very nice explanation..

[@MsYoyojam]

This helped so much. I can't thank you enough!!

[@feyylen]

Thank you so much this is very helpful

[@loedinero7710]

Your videos have helped so much!

[@joychen1285]

I lost 10 points on the test for this question, I should watch carefully!

[@vic6466]

Damn i have my exam on Wednesday 😭

[@estie4930]

Thank you so much. God bless you.

[@thenetworkguru3485]

could you please create more videos for theoretical computer science

[@criticalsting]

Not all heroes wear capes

[@nopecharon]

Agreed

[@lashayedmond58]

you have a point there

[@thornephillips9071]

i hope you know that you are an amazing human

[@keynnerblas5732]

thank you again sir, you are brilliant!

[@Agreedtodisagree]

I truly appreciate this.

[@ahnafahmed6853]

Thank you so much for making these videos. You make my life easier :D

[@1010ansh]

Very nice explanation

[@Dan-gc3ke]

I'm super confused, why don't you do the + and - for 14:40? Shouldn't it be -Ex - Ay - P(x)? Or is the equivalence different then negating

[@Trevtutor]

Negation is negation. Equivalence is equivalence. Equivalence is like saying p ~~p, which is what the +/- example was. Negation is negation. Not claiming that p ~p.

[@lancelofjohn6995]

At the time of 12:05 in this video, whether do you want to say ~((Exist) X p(X))?Should be the result (All) X ~P(X)?

[@etomraymundp.12stem1a8]

Great help, thanks!

[@Rayalot72]

If anyone was wondering about 12:22, -I believe that's "not possibly P" being equivalent to "necessarily not P."- I could have it mixed up though, in which case it's "not necessarily P" being equivalent to "possibly not P." EDIT: I mixed it up...

[@morgard211]

10:21 Correct me if I'm wrong. All dogs are brown. There is not a dog which is not brown. There is a dog which is brown. Not all dogs are not brown / of different colour than brown. Not all dogs brown. There is a dog which is not brown. There is not a dog which is brown. All dogs are not brown / of different colour than brown.

[@balasatyanarayana741]

That's crazyy, great lecture mann!

[@harjotgill667]

it is really helped me. thanks a ton

[@turboleggy]

It's really good just wish there were harder examples like in 'how to prove it'

[@hajiro.7984]

thank u so much ur videos really helped me a lot

[@sundance4105]

I really thank for good leason

[@codingwombat]

Negation part is at 6:20

[@NPTeddy-ge3nb]

very well done

[@dayo_the_keyboardist]

This was an excellent video. No cap

[@ryanbeatbox]

You are amazing, thank you for such a great lesson

[@phoehtaung]

Thank you man!! Keep up the good work you are educating so many people =)

[@ashraflone6586]

Wow you really nailed it.... thanks

[@calebnetsanet1844]

you are the best tnx soooo much

[@karumotoart5040]

I just want to say, if I ever make it in life, I'm leaving all my money to you

[@domi5823]

Question for "given two rationals x and y, sqrt(xy) will also be rational." apart from your abbreviation, could this also be expressed as (∀x,y∈Q) => (sqrt(xy) ∈ Q)

[@smackdashitoutchu7755]

I have the same question. My guess is yes. "If any two numbers x,y are rational, then sqrt(x,y) is also rational." Sounds like an If, then statement to me.

[@almoh]

Hi There, What tools (board, pen and tablet) are you using for the presentation?

[@shashanksharma1074]

Thank you man.

[@madspetersen6537]

That was so awesome! thanks

[@aqmaral6454]

this video helped me so much, thank you !

[@mamtasingh8373]

Help professor,this doubt is eating me up for days, Does dog refers to class/group of all animals satisfying dog properties or refers to every individual satisfying dog conditions

[@tammyle4241]

can you please help me out with this one bc I have no idea how to write this one out? Department (D-code, D-Name, Chair-SSN) Course (D-code, C-no, Title, Units) Prereq (D-code, C-no, P-code, P-no) Class (Class-no, D-code, C-no, Instructor-SSN) Faculty (SSN, F-Name, D-Code, Rank) Student (Ssn, S-Name, Major, Status) Enrollment (Class-no, Student-Ssn) Transcript (Student-Ssn, D-Code, C-no, Grade) Courses with C-no between 300 and 399 must have at least one prerequisites; and courses with C-no between 400 and 499 must have at least two prerequisites

[@ozzyfromspace]

Loving this series! Just a minor error: at 4:20 m must belong to the set of complex numbers or your statement becomes a contradiction. For example, if n = -1, m = sqrt(-1) satisfies the equation m^2 = n. As shown, n is a real number while m is a complex number. Again, this is a super minor error, but overall I'm really appreciating your lectures! Kudos to you, TheTrevTutor :)

[@ozzyfromspace]

Counter-example about sqrt(xy).... let x=1/2, y=1/3 .... sqrt(1/2*1/3)=1/[sqrt(2)*sqrt(3)] i.e. the output cannot be represented in the form a/b where a and b are integers, and thus is not a rational number. Only certain rational {x,y} pairs generate rational sqrt(xy) values. Sorry for being a downer, I swear I love your videos!

[@witM90]

Great tuts! But what about infinity? Domain is not finite? When for example we have "exists for all x\in Real number" P(x) is true P(1) or P(2) or ... so. Please give some explanation because you show definition for finite domain..I think.

[@stephenasmith6625]

test on thursday, thank you.

[@jmaham23]

Fsu discrete gang

[@tunamusic2314]

what application are you using to write down ?

[@jasur.tech101]

Great video

[@ameurrs]

In a situation where you would have a double negation through the simplification of a problem similar to the last one you've done, does that double negation law applies to quantifiers/predicates as well or is that to be treated some other way? Thank you!

[@bobbysokhi7296]

Thank you so much !

[@cheonsongyi157]

I want discrete mathmatics notes or it's topics but could not find even proper topics of it ........please recommend any link that would helpful to understand this subject ........and my one of my topic "mathematical induction and recursion" could not find

[@ParthDakoria]

Nicely done

[@cananongkhlaw]

Sorry, what does P(m,n) supposed to mean?

[@ROC4Life96]

when ever i see "p(x)" I think of p being a function of x, I guess that kind of thinking is only reserved for calculus and not discrete mathematics?

[@Elywely]

I feel like you kinda can see it as a function. It maps an x from an arbitrary set to a statement.

[@krunalkamleshkumar8127]

the last negation you did I don't get it. I don't get it how u got -A. I thought we use the trick you showed us so if I follow the trick it show give me -E for A but for A u got -A. that part I cannot understand. This step is shown around (13:24) min. If anyone of u guys understood the last part then I will appreciate if u help me. thx

[@salemdevian]

Do you have a sheet on you that tells you all those equivalencies 😅👐

[@bestest43]

So if I try to put in a sentence what you did at the end of the video after doing the negation, can I say it as 'is there an x for all y such that not P( x, y ) or not Q( y )

[@ndarshaniliyanage1359]

all x ( x+1=0 or x+2=0) how to write negation of this statement?

[@DiegoMathemagician]

Is this actually discrete math?

[@MeryemIdtaleb]

very useful thanks

[@jakilahmoulien9070]

i like your handwriting :0

[@kinioffiji540]

awesome...now i understand