Logical Arguments - Modus Ponens & Modus Tollens

  Рет қаралды 381,603

Dr. Trefor Bazett

Dr. Trefor Bazett

Күн бұрын

Modus Ponens and Modus Tollens are two logical argument forms. In either case, these have two premises and a conclusion. These argument forms are called valid, which means that if you accept the hypotheses, then it is valid to conclude the conclusion. This is distinct from having a sound argument which means not only is the structure logically valid, but additionally the premises are true. In this video we will learn how to analyze a written argument by its logical structure, as well as write out the truth table for Modus Ponens and Modus Tollens.
Modus Ponens:
if p, then q
p
Therefore, q
Modus Tollens:
If p, then q
Not q,
Therefore, Not p.
►Full DISCRETE MATH Course Playlist: • Discrete Math (Full Co...
Other Course Playlists:
►CALCULUS I: • Calculus I (Limits, De...
►CALCULUS II: • Calculus II (Integrati...
►CALCULUS III: • Calculus III: Multivar...
►LINEAR ALGEBRA: • Linear Algebra (Full C...
► Want to learn math effectively? Check out my "Learning Math" Series: • 5 Tips To Make Math Pr...
►Want some cool math? Check out my "Cool Math" Series: • Cool Math Series
*****************************************************
YOUR TURN! Learning math requires more than just watching math videos, so make sure you reflect, ask questions, and do lots of practice problems!
****************************************************
►Follow me on Twitter: / treforbazett
BECOME A MEMBER:
►Join: / @drtrefor
MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: www.amazon.com...

Пікірлер: 212
@SoupTurtle16
@SoupTurtle16 4 жыл бұрын
This really helps me out during coronavirus times, where I don't get very clear descriptions because remote learning.
@NotAnnaJones
@NotAnnaJones 3 жыл бұрын
Yep
@thinkinsidetheboxsquarecir3303
@thinkinsidetheboxsquarecir3303 3 жыл бұрын
It should also help see thru the absurdities and measures by governments surrounding this Fauxvid-19 😌
@skellingtonmeteoryballoon
@skellingtonmeteoryballoon 3 жыл бұрын
Absolutely
@programming3218
@programming3218 2 жыл бұрын
@@thinkinsidetheboxsquarecir3303 Did your stupidity age well? Or are you still doubled down
@PhilSophia-ox7ep
@PhilSophia-ox7ep 2 ай бұрын
​@@thinkinsidetheboxsquarecir3303 crackpot
@Ben_Yamin_OfficialBw
@Ben_Yamin_OfficialBw 4 жыл бұрын
I study computer science and software engineering in Botswana(Africa) and your videos are really helpful...A job well done to you sir for touching lives across the globe❤🖤
@KarlEngels-ml3lh
@KarlEngels-ml3lh 3 жыл бұрын
You are a godsend! KZbin's sparsely populated in terms of philosophy videos, so seeing this was quite appreciated -- not to mention refreshing
@rahultayal9275
@rahultayal9275 4 жыл бұрын
Again sir, Your eagerness to get intuition about any mathematical concept and come with the correct intuition ,is the thing that makes you great and special. Thank you sir for this masterpiece.
@DarkMelodies-hv9wf
@DarkMelodies-hv9wf 5 жыл бұрын
I'm just trying to figure out how on this world he has that technology with his youtube vids damnn
@gui-mendes-nomad
@gui-mendes-nomad 5 жыл бұрын
kkkk oh yes idem
@skygeorge3638
@skygeorge3638 4 жыл бұрын
A glass plate and editing software?
@seanliu3549
@seanliu3549 4 жыл бұрын
free tay k
@cassidyhull8312
@cassidyhull8312 4 жыл бұрын
is he writing backwards, impressed.
@zebafatima7688
@zebafatima7688 4 жыл бұрын
@@DrTrefor 😂🤫
@tyrael864
@tyrael864 5 жыл бұрын
I study Information and Technology in Poland and it seemed helpful to me aswell, so you do in fact help students around the globe!
@ramyhuber8392
@ramyhuber8392 2 жыл бұрын
I so much appreciate the detail and clarity of Dr. Bazett's teaching. I remember I used to get upset when I felt a teacher skipped a step in the logical progression from hypotheses to conclusions. Thanks much!
@Godrick420
@Godrick420 4 жыл бұрын
Thank you. I failed to grasp this from the text in my online critical thinking course. You cleared it up in a succinct but informative way. Keep up the good work.
@pendaydorji3403
@pendaydorji3403 2 жыл бұрын
very interesting way of teaching. The one I couldn't understand with two hours of class, this vid made me understand within 8 min.
@jwross2798
@jwross2798 3 жыл бұрын
I teach this and you just raised the bar for learning resources with an awesome video! I'm sharing the link to this with my argument mapping students when we discuss defeasible modus ponens schemes. Awesome!
@DrTrefor
@DrTrefor 3 жыл бұрын
Thanks, that's awesome!
@goddessmamii
@goddessmamii 5 жыл бұрын
Thank you so much, I honestly understand this so much better than my textbook explains this! 🙏🙌
@mrboyban
@mrboyban 3 жыл бұрын
Hey mate You're a truly hero! I "subscribed" myself on a "top uni", which assumes students have to know all the proofs on a weekly basis after receiving no guidance at all on the topics. You have made easier for this week. Thank you so much
@DrTrefor
@DrTrefor 3 жыл бұрын
Thanks so much and good luck this semester!
@emmanuel4906
@emmanuel4906 Жыл бұрын
This man is good,but couldn't get the actual concept so I intended to search for other KZbin videos about Modus ponens and Modus Tollens. Until I found a channel named "the wisdom annex", which helped me a lot.
@jackfeuer3323
@jackfeuer3323 Жыл бұрын
Currently a cadet at USMA. This has been much more helpful than my instructor. Thank you so much.
@hanzfranz7739
@hanzfranz7739 3 жыл бұрын
You should get the 1000 bucks I pay each month and not the university which sent me a copy and pasted script that doesn't explain anything lol.
@randyn1080
@randyn1080 Жыл бұрын
For. Real.
@coimbralaw
@coimbralaw 9 ай бұрын
Or you shouldn’t be lazy and actually engage the text
@Quietlamacakes
@Quietlamacakes 3 ай бұрын
@@coimbralawyou can do that, it’s rather inefficient for social creatures.
@hadleystrickland6066
@hadleystrickland6066 3 жыл бұрын
Thank you I was so lost with this concept you made it so much easier to understand!!
@DrTrefor
@DrTrefor 3 жыл бұрын
You're very welcome!
@barbarakabanos2989
@barbarakabanos2989 6 жыл бұрын
I like how you showed us where the variables are in the sentence
@SpadeMonroe
@SpadeMonroe 5 жыл бұрын
This is super helpful, especially because you look so much like Jack Whitehall, but without the british accent.
@Sahebaaz75
@Sahebaaz75 4 жыл бұрын
I'm from India and it was pretty tough to understand it from the books, but your video made me understand it. Thanks.
@willianrom
@willianrom 7 жыл бұрын
I'm a brazilian student of I.T. and I wasn't understanding that. Thank you for your video.
@miltonjunior9553
@miltonjunior9553 3 ай бұрын
Pensava que eu era o unico Br 😅
@black_godfred
@black_godfred 2 жыл бұрын
writing an exam on expert system, we had a class on this, refreshing my mind with the video before the exam. exam starts in an hour. wish me goodluck
@pratyushtiwari9025
@pratyushtiwari9025 2 жыл бұрын
Dear Sir, Your explanation was amazing
@BigBrothersEnd
@BigBrothersEnd 3 жыл бұрын
Thank you so much Trefor, you really make discrete maths fun like they should be
@DrTrefor
@DrTrefor 3 жыл бұрын
Glad you think so!
@laxmidokania7348
@laxmidokania7348 4 жыл бұрын
Good work trefor. Thank you ❤🌹 love from india
@Roshan-xd5tl
@Roshan-xd5tl 2 жыл бұрын
Beautifully explained like always. Thank you!!
@nabeelahmed7626
@nabeelahmed7626 2 жыл бұрын
thank you so much, sir, you just filled the gap in my mind in just 8-minutes video stay blessed
@UNKPCRIDE
@UNKPCRIDE 5 жыл бұрын
Conjunction /\ = TRUE only when both components are true Disjunction \/ = FALSE only when both components are false Conditional --> FALSE only when antecedent is TRUE and consequent is False Bi-Conditional TRUE only when both antecedent and consequent have the same truth value ~p = IS NOT /\ = AND \/ = OR
@shortyandthegrooves5515
@shortyandthegrooves5515 5 жыл бұрын
UNKPCRIDE Thank you. Been looking for these all over the internet but I’m stupid. Might just pass this exam now lmao.
@shannoncharles2165
@shannoncharles2165 4 жыл бұрын
Thank you so much
@Chrisymcmb
@Chrisymcmb 4 жыл бұрын
Why does he have p=f and q=f resulting in a p->q=T premise? I thought "Disjunction \/ = FALSE only when both components are false". Should not the premise for the above example be p->q=F?
@caitlinmurphy692
@caitlinmurphy692 4 жыл бұрын
I think you just saved my life😂
@marceloantonio4819
@marceloantonio4819 5 жыл бұрын
thanks for teaching me all this stuff in eighth minutes
@EnGamology
@EnGamology 4 жыл бұрын
I found a new way of teaching. awesome. really awesome
@Hgh38
@Hgh38 4 жыл бұрын
This man is a god
@canadianbro9327
@canadianbro9327 3 жыл бұрын
Tomorrow is my final exam from Fuzzy Control. Thanks for information 🙋🏻‍♂️
@fernleystephens2436
@fernleystephens2436 4 жыл бұрын
And we do all that in a split second when we're deciding whether to cross a busy road or not.
@orinabraison2217
@orinabraison2217 Жыл бұрын
brilliant teaching skill.
@arjunmurugan8759
@arjunmurugan8759 3 жыл бұрын
Thanks a lot sir, this really helped me and btw u look-alike pewdiepie
@NienHung1234
@NienHung1234 Ай бұрын
You just saved me from discrete mathematics... ❤❤
@alphamega3306
@alphamega3306 3 жыл бұрын
Nice. You’ve found your niche. Tens, if not hundreds, of thousands of $ spent on college for an explanation with no proof; then I go on KZbin and it’s explained perfectly for free.
@Eltricosluis
@Eltricosluis 5 жыл бұрын
HELLO. I AM BRAZILIAN AND I WAS FIND THIS CLASS. I LIKE VERY MUTCH. THIS WILL BE HELP ME. THANK YOU AND SORRY ABOUT MY INGLISH.
@DeepakChauhan-xh2jj
@DeepakChauhan-xh2jj 5 жыл бұрын
very well explained & easy to follow. Great Job Man
@biancamorar3339
@biancamorar3339 7 ай бұрын
this really helped me thank you dude , you are great
@rlys4lty
@rlys4lty 2 жыл бұрын
Thank you for such a lifesaving video
@tendaizvikomboreroparaffin3925
@tendaizvikomboreroparaffin3925 6 жыл бұрын
Trefor Bazett thank you, you're appreciated greatly.
@birajedits8259
@birajedits8259 2 жыл бұрын
Perfectly explained. Thanks alot.
@ArinaLove444
@ArinaLove444 11 ай бұрын
Thanks so much for posting this, it has definitely helped me!!
@naturehubby
@naturehubby 2 жыл бұрын
thank you sir for your so much efforts
@echozhao4096
@echozhao4096 3 жыл бұрын
I love your course. It really helps a lot!
@DrTrefor
@DrTrefor 3 жыл бұрын
So glad it is helping!
@gdemrakul2824
@gdemrakul2824 Жыл бұрын
Thank you for doing these videos. They are really helpfull.
@selenakadri7595
@selenakadri7595 2 жыл бұрын
This lesson was extremly useful. Thanks a lot
@jackolson7071
@jackolson7071 4 жыл бұрын
These videos are very helpful, thank you
@DrTrefor
@DrTrefor 4 жыл бұрын
Glad to hear that!
@josephsilavwe1391
@josephsilavwe1391 3 жыл бұрын
Wow what a wonderful explanation
@shakibridoy5442
@shakibridoy5442 6 жыл бұрын
Very carefully & the example is so good.
@al-noor9041
@al-noor9041 11 ай бұрын
Thank You for clear crystal concept.
@3tranger
@3tranger 7 жыл бұрын
that's exactly what i needed ! a Canadian who doesn't want to be POTUS....
@anujsoni7908
@anujsoni7908 6 жыл бұрын
Best tutor ever seen...💐💐 thank you
@Reyure11
@Reyure11 2 жыл бұрын
thank u, I more of understand what was the difference because we have to report this in class
@induminidilukshaWijesinghe
@induminidilukshaWijesinghe 2 жыл бұрын
These vedios are very helpful.. 😍Thanks a lot sir!! ♥️🙏💐
@rachitaurora
@rachitaurora 2 жыл бұрын
thank you!
@sydneytomlinson
@sydneytomlinson 3 жыл бұрын
Called it! I could tell you were Canadian because you kinda talk like Dawid Does Tech.
@youssefdirani
@youssefdirani 2 жыл бұрын
I felt cheered with all this. Modua pollens is probably the Aristotle logic ?
@johnlovesmath
@johnlovesmath 2 жыл бұрын
Thank you for the high quality lesson.
@abigailcacho7488
@abigailcacho7488 3 жыл бұрын
Hi, this video is very helpful. I have a question sir, what if the form of argument is like this If p, then q. ~p Therefore, ~q Hoping for your answer, sir! Have a good day!
@martinds93
@martinds93 6 жыл бұрын
Thank you. I understood you better than to my teacher...
@theonlyhans3773
@theonlyhans3773 2 жыл бұрын
thanks man!
@continnum_radhe-radhe
@continnum_radhe-radhe Жыл бұрын
Thank you very much sir 🔥
@akifejaz5158
@akifejaz5158 4 жыл бұрын
hurray! Got it
@reemabdullah7229
@reemabdullah7229 4 жыл бұрын
soooooooo amazing Trefor, keep going :)
@mokhalishale7427
@mokhalishale7427 Жыл бұрын
thank you so much ❤💯 really appreciate your good work
@vishmanthapb3349
@vishmanthapb3349 6 жыл бұрын
you are awesome in teaching. thank you.
@raymanhein5920
@raymanhein5920 2 жыл бұрын
Finally I found gold
@Riccicc
@Riccicc 4 жыл бұрын
Hello!! I can't find the Playlist for this course, I'm loving your videos: D Could you please provide it to me in advance Thank you
@DrTrefor
@DrTrefor 4 жыл бұрын
Check out the description for all the vids. Shortcut: kzbin.info/aero/PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
@farihanishat9795
@farihanishat9795 3 жыл бұрын
Thankyou so much! ❤️
@dhanish2798
@dhanish2798 Жыл бұрын
good explaination
@leslieminlah7625
@leslieminlah7625 5 жыл бұрын
you are amazing
@bigkahunaburger2431
@bigkahunaburger2431 3 жыл бұрын
This helped me a lot... Thanks.
@DrTrefor
@DrTrefor 3 жыл бұрын
Glad it helped!
@gursharansingh5202
@gursharansingh5202 Ай бұрын
Can you show the truth table of Modus tollens
@skellingtonmeteoryballoon
@skellingtonmeteoryballoon 3 жыл бұрын
Hypothetical syllogisms are tricky. Truth tables test my patience.
@The_Advent_c2
@The_Advent_c2 3 жыл бұрын
Is there another argument form which states “if p then q” not p therefore, not q?”
@demitrireece2489
@demitrireece2489 4 жыл бұрын
great video man! keep it up :)
@DrTrefor
@DrTrefor 4 жыл бұрын
Thanks, will do!
@marvel438
@marvel438 6 жыл бұрын
Thank man. Great explanation.
@Alexvic222
@Alexvic222 3 жыл бұрын
I am so confused because my teacher doesn't call it by these names and it is really throwing me off.
@jeremylane3139
@jeremylane3139 3 жыл бұрын
Damn, getting heavy around 1:50 haha
@halofreak644
@halofreak644 4 жыл бұрын
I could have sworn this guy was the POTUS shout out from Cali
@adnaankazi7402
@adnaankazi7402 5 жыл бұрын
No one could have done better 🔥
@StaticBlaster
@StaticBlaster 5 жыл бұрын
can someone explain to me why the third row is true for p implies q? i don't understand how he's getting true if p is false and q is true. Thanks for clearing this up.
@alexwest786
@alexwest786 Жыл бұрын
you are a godsend
@nikhilvaishnav8666
@nikhilvaishnav8666 3 жыл бұрын
Really Helped Me.. 👌👍
@nekomaru3679
@nekomaru3679 4 жыл бұрын
It doesn't matter means false? at 5:50 ~. I know we don't need to even check it, but what's the exact solution for the table. is it okay to just cross out?
@Flexi2477
@Flexi2477 3 жыл бұрын
please want to ask what if the first premises and conclusion is false but the last premises and the last conclusion is true would the statement be valid or invalid
@AndreoHumano
@AndreoHumano 3 ай бұрын
crazy how this fit with logical programming LOL
@blueice472
@blueice472 6 жыл бұрын
I understand now, thank you
@uvocka
@uvocka 2 жыл бұрын
*so if p→q is that : if truth is truth then it's true, and if Ffalse is Ttruth then is Ttrue, and if Ttruth is Ffalse then its Ffalse*
@n4kochao
@n4kochao 5 жыл бұрын
Thank you thank you thank you
@ruwanchamara2578
@ruwanchamara2578 4 жыл бұрын
thank you sir
@montronics8430
@montronics8430 5 жыл бұрын
Really helped me.
@masoluboxD
@masoluboxD 4 жыл бұрын
what if I got two premises: "A: p -> q, B: -q or -r" why does it follow that: "-p or -r" an why does it not follow that: "-r -> p" I cannot figure this out
@lahirulowe4752
@lahirulowe4752 3 жыл бұрын
that laugh at 1:54
@Hamza-ir6ij
@Hamza-ir6ij 10 ай бұрын
you're GOATED
@coimbralaw
@coimbralaw 9 ай бұрын
That isn’t anywhere approaching a word.
@thefreshprince-t4m
@thefreshprince-t4m Жыл бұрын
If my bladder is full I feel like peeing, then I need to pee. I feel like peeing, my bladder must be full, so I go pee.
@worku-bb5qz1mf8k
@worku-bb5qz1mf8k 7 ай бұрын
7. Solve the following equations in the set of complex numbers: (a) Z^(3/2) =8i (b) Z^5 = −2−2i.please help me,it is my assignment fo today.
@juliaglocka119
@juliaglocka119 4 жыл бұрын
Do you write it oppositely on the transparent board? :O
@ΚυριάκοςΜάριοςΜάρκελλος
@ΚυριάκοςΜάριοςΜάρκελλος 3 жыл бұрын
if we have both of premises f what conclusion we will have?
Logical Argument Forms: Generalizations, Specialization, Contradiction
3:23
Conditional Statements: if p then q
7:09
Dr. Trefor Bazett
Рет қаралды 744 М.
МАИНКРАФТ В РЕАЛЬНОЙ ЖИЗНИ!🌍
00:31
⚡️КАН АНДРЕЙ⚡️
Рет қаралды 34 МЛН
RULES of INFERENCE - DISCRETE MATHEMATICS
12:59
TrevTutor
Рет қаралды 593 М.
ChatGPT is destroying my math exams
11:43
Dr. Trefor Bazett
Рет қаралды 87 М.
Intro to Logical Statements
6:19
Dr. Trefor Bazett
Рет қаралды 218 М.
Universal and Existential Quantifiers,  ∀ "For All" and ∃ "There Exists"
9:32
How to Argue - Philosophical Reasoning: Crash Course Philosophy #2
9:43
Modus Ponens and Modus Tollens
11:37
James Gaunt
Рет қаралды 15 М.
Predicates and their Truth Sets
6:04
Dr. Trefor Bazett
Рет қаралды 75 М.
Biconditional Statements | "if and only if"
2:54
Dr. Trefor Bazett
Рет қаралды 148 М.