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.

[@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)

[@meghnabisht571]

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

[@thragg00]

A1 handwriting dude

[@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.

[@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.

[@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.

[@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.

[@shubhamsrivastava337]

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

[@jasonr5248]

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

[@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

[@kooner3]

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

[@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.

[@courageandpeace1944]

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

[@rasmusdeneergaard5114]

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

[@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,

[@thomasmorin2496]

It all makes sense now

[@serik3818]

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

[@DonaldStephen07]

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

[@saulhlupo8427]

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

[@shirazlittlebunny4529]

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

[@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~

[@zabiiaryan8325]

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

[@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.

[@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.

[@janjanhernaez1004]

Dude you deserve more subs and likes.

[@lancelofjohn6995]

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

[@codingwombat]

Negation part is at 6:20

[@joshakads5307]

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

[@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

[@yash7891]

You sound like James from Casually Explained

[@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!!!

[@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.

[@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

[@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)?

[@lahaag3310]

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

[@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.

[@alfahad7704]

Such a nice and clear video. Learned a lot.

[@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...

[@jennysanchez822]

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

[@MsYoyojam]

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

[@monikabindal9544]

very nice explanation..

[@criticalsting]

Not all heroes wear capes

[@asishcodes]

Agreed

[@lashayedmond58]

you have a point there

[@dairoleslieann9921]

YOU ARE GOOD IN TEACHING THIS IS SO HELPFUL !

[@panic9725]

great vid. nice job man

[@ahnafahmed6853]

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

[@sahilpatel0701]

Thank you for saving my life!

[@clee375]

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

[@محمد-م5ث1ش]

Can you do my exam instead of me? I guarantee that you'll get a full mark😂

[@joychen1285]

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

[@vic6466]

Damn i have my exam on Wednesday 😭

[@thenetworkguru3485]

could you please create more videos for theoretical computer science

[@thatquietkid9005]

can anyone explain 5:17, i've watched that part over and over but i dont understand it at all.

[@almoh]

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

[@phoehtaung]

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

[@keynnerblas5732]

thank you again sir, you are brilliant!

[@loedinero7710]

Your videos have helped so much!

[@tunamusic2314]

what application are you using to write down ?

[@feyylen]

Thank you so much this is very helpful

[@balasatyanarayana741]

That's crazyy, great lecture mann!

[@estie4930]

Thank you so much. God bless you.

[@Agreedtodisagree]

I truly appreciate this.

[@thornephillips9071]

i hope you know that you are an amazing human

[@ryanbeatbox]

You are amazing, thank you for such a great lesson

[@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

[@1010ansh]

Very nice explanation

[@hajiro.7984]

thank u so much ur videos really helped me a lot

[@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!

[@turboleggy]

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

[@kyraflame]

Why at 8:15 do the and symbols change to or symbols when negated?

[@intentionalvideos456]

DeMorgan's law

[@harjotgill667]

it is really helped me. thanks a ton

[@etomraymundp.12stem1a8]

Great help, thanks!

[@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.

[@dayo_the_keyboardist]

This was an excellent video. No cap

[@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

[@aqmaral6454]

this video helped me so much, thank you !

[@ashraflone6586]

Wow you really nailed it.... thanks

[@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 )

[@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!

[@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

[@karumotoart5040]

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

[@stephenasmith6625]

test on thursday, thank you.

[@jmaham23]

Fsu discrete gang

[@madspetersen6537]

That was so awesome! thanks

[@salemdevian]

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

[@bossbabyy_00]

Thank you!

[@NPTeddy-ge3nb]

very well done

[@sundance4105]

I really thank for good leason

[@shashanksharma1074]

Thank you man.

[@calebnetsanet1844]

you are the best tnx soooo much

[@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

[@sitalsitoula6536]

Shouldn't there be for some x "such that" instead of a comma

[@bluegiant13]

You're a godsend.

[@ndarshaniliyanage1359]

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

[@kinioffiji540]

awesome...now i understand

[@jasur.tech101]

Great video

[@bobbysokhi7296]

Thank you so much !

[@ParthDakoria]

Nicely done