Check out my new course in Propositional Logic: trevtutor.com/p/master-discrete-mathematics-propositional-logic It comes with video lectures, text lectures, practice problems, solutions, and a practice final exam!
If I pass my discrete mathematics course, it is because of a fellow student, you and William Spaniel, and not my university. Thank you for these videos :)
"if james is not die" made me crack up completely, I need a break. Seriously though, thank you for all these lessons. Shared them to my class and many are completely livid and now hopeful they might actually pass this course.
00:12 📜 A statement in propositional logic is a declarative sentence that can be either true or false, with true represented as 1 and false as 0. 02:13 🅿 Propositions in logic are denoted with capital letters (e.g., P, Q, R), where P might represent "I cheated." Lowercase letters (e.g., p, q) are general propositions used for proofs. 03:04 ➕ Logical connectives, such as "not," "and," "or," and "if-then," can be applied to propositions to change or combine their meanings. 04:35 📝 It's essential to translate well-formed formulas into English. For example, "R and P arrow Q and S" translates to "If I write an exam and cheat, then I will get caught and fail." 06:58 🔄 Translating English into well-formed formulas involves identifying connectives. For instance, "If James does not die, then Mary will not get any money, and James's family will be happy" translates to "If not James dies, then not Mary gets money, and James's family will be happy." 09:46 ⚙ Ensure propositions are positive when defining keys; for example, use "James dies" as a proposition (P), not "James does not die," and then apply logical connectives accordingly. 10:45 📊 Understanding truth tables becomes clearer after grasping logical connectives; take time to go through examples and practice translating between English and well-formed formulas.
Fascinating how there is such a strong connection between philosophy, math and computer science. Never was good at math and computer science, but I’m an excellent philosophy student with logic. 🤦♂️
I very rarely subscribe to people, but I saw what a great resource this was I wanted to, but when I went to click on the button to subscribe, it told me I had already subscribed!
It is worth pointing out that the English sentence has another translation in which we have "(not p -> not q) and r". This is not the same sentence as " not p -> (not q and r)". An example that does not have this property could be: "If James does not die and Mary does not get any money then James' family will be happy. " now there is only one translation to our logical language.
Omg you're gonna help me so much, I'm a linguistics student and I had to take a math class bc I missed ects and my brain does not want to understand math but I just understood your video 😭
I am a commerce graduate and was struggling to understand this basic logic, this VDO is the best of all I watched. Needed conditional & biconditional Implication too. please suggest if that is in different Vdo.
Thank you very much for the amazing video. I have one question: in the sentence "If James does not die then Mary will not get any money and James' family will be happy", can we write it as (~P→~Q)^R?
1:05 well... the fish Tiktaalik is theorized to be the evolutionary human ancestor that came out of the ocean and began life on land so... we technically can say we are fish with legs.😂
I have this kind of doubt taking this course (Computer science) coz it has a logical calculation. Why I avoided math during my school journey, but something took me to this course. But maybe this is the time to Confront my fears
So, how it's going, I just started discrete mathematics this week and I'm really struggling hard tbh, also our professor doesn't explain good cuz I learned more by watching videos and reading from internet, she doesn't show simplified example, talk too fast that it's hard to write things down, erase whiteboard too early and then gives us tough questions to solve that just seems gibberish to me.
I thought the cardinality of 0 is 1, because the zero is still an element of a set? If there was no zero in the curly brackets then it'd be empty right? I'm going off your intro video to discrete maths here
![[Discrete Mathematics] Statement Identification and Translation Examples](http://i.ytimg.com/vi/ebmFeBxrotw/mqdefault.jpg)
![[Discrete Mathematics] Statement Identification and Translation Examples](/img/tr.png)
Check out my new course in Propositional Logic: trevtutor.com/p/master-discrete-mathematics-propositional-logic
It comes with video lectures, text lectures, practice problems, solutions, and a practice final exam!
Trevor explains so much better than my professor. He goes in details and his instruction is easy to follow.
If I pass my discrete mathematics course, it is because of a fellow student, you and William Spaniel, and not my university. Thank you for these videos :)
How did it go???
I Got 85% as a course grade. Thanks for asking :)
@@LewiUberg Damn.... congrats that's awesome! I have a quiz coming up tomorrow... so nervous xd
@@MehdiEm good luck 💪
@@LewiUberg Thanks!
As soon as you said "if this stuff, then this stuff" I knew you were my new favorite math channel! Thanks for the content.
"if james is not die" made me crack up completely, I need a break.
Seriously though, thank you for all these lessons. Shared them to my class and many are completely livid and now hopeful they might actually pass this course.
00:12 📜 A statement in propositional logic is a declarative sentence that can be either true or false, with true represented as 1 and false as 0.
02:13 🅿 Propositions in logic are denoted with capital letters (e.g., P, Q, R), where P might represent "I cheated." Lowercase letters (e.g., p, q) are general propositions used for proofs.
03:04 ➕ Logical connectives, such as "not," "and," "or," and "if-then," can be applied to propositions to change or combine their meanings.
04:35 📝 It's essential to translate well-formed formulas into English. For example, "R and P arrow Q and S" translates to "If I write an exam and cheat, then I will get caught and fail."
06:58 🔄 Translating English into well-formed formulas involves identifying connectives. For instance, "If James does not die, then Mary will not get any money, and James's family will be happy" translates to "If not James dies, then not Mary gets money, and James's family will be happy."
09:46 ⚙ Ensure propositions are positive when defining keys; for example, use "James dies" as a proposition (P), not "James does not die," and then apply logical connectives accordingly.
10:45 📊 Understanding truth tables becomes clearer after grasping logical connectives; take time to go through examples and practice translating between English and well-formed formulas.
first few minutes in and I respect you more than my professor. he refuses to actually show examples when discussing these things.
Fascinating how there is such a strong connection between philosophy, math and computer science. Never was good at math and computer science, but I’m an excellent philosophy student with logic. 🤦♂️
Computer science is applied math. Computer is literally derive from computare which means to calculate.
@@jeyz11245 very interesting
@@jeyz11245 I struggled but Ill still become a great Comp Scientist.
You don't know how much this helped me man ! Absolutely legend
I mean you kinda know with all these comments but thanks man
I very rarely subscribe to people, but I saw what a great resource this was I wanted to, but when I went to click on the button to subscribe, it told me I had already subscribed!
Dude, I just started my Discrete math course. You’re going to be my favorite channel.
I'm from Tanzania a new stydent in a data management, you guy is an amazing ☺️😊👍🏽👍🏽
Fish are just humans without legs:)
This makes it look SO EASY. Thanks!
Thanks, bro It helped me a lot in my exam's.............. Love from India
I love UA-cam and proper teaching. Thank you!
Great video, listening to someone explain this is much easier than reading the material...
DING! i love it when shit just makes sense! you are a good teacher! well done! you got my sub!
language!
@@creepetexploded8645 lol
You have really nice handwriting.
That is true
Exam tomorrow. Your video helped so much. Thanks a bunch!
i love how "James dies" is written weirdly satisfying. especially the J and d
You're right. The statement "Humans are just fish with legs" is false. Fishes taste way better.
Thank you for the explanation. Much better than my instructor.
I love this video . This video has changed my view on propositional logic
This course is going to foster my understanding of Discrete Math I can see that coming thanks a lot
It is worth pointing out that the English sentence has another translation in which we have "(not p -> not q) and r". This is not the same sentence as " not p -> (not q and r)". An example that does not have this property could be: "If James does not die and Mary does not get any money then James' family will be happy. " now there is only one translation to our logical language.
Hi Trev. Thank You for this very simple way of explaining Logic. God Bless.
This reminded me how much I love this class
This guy is going to help me pass my class because my professor isn't that good.
This helped so much. Thank you!
Explained way better than in college. Thanks
Grand salute to you. Thanks. I am very bad at maths u help me
This whole class is an absolute nightmare dont know why we are required to take it in uni
ITS 2020 and this was so helpful to me thanks
superb explanation 😊👍
I am not there yet however, discrete mathematics is easy to understand, thank you for the explanation
0:39
Aaand another course .. you save me every time. big thank you
Your handwriting is so satisfying
عز الله انك ماقصرت 😍😍
That was really nice tutorial. I was able to solve the last problem by myself. Thank you so much.
Amazing video
I love your handwriting
Wonderful explanations sir , love a lot❤
Omg you're gonna help me so much, I'm a linguistics student and I had to take a math class bc I missed ects and my brain does not want to understand math but I just understood your video 😭
I am a commerce graduate and was struggling to understand this basic logic, this VDO is the best of all I watched. Needed conditional & biconditional Implication too. please suggest if that is in different Vdo.
Excellent explanation!
You are a Legend
Very helpful. Thank you!!
You said humans are “much more” than fish with legs, and I take exception to that! - Joe Bipedopesci.
short but very effective video 👏
This was very helpful - thank YOU!
Thank you for sharing your knowledge
What to remember, *Humans are just fish with legs*
Anyway great video!
Humans are Monke with extra steps
Thank you so much! You are amazing and explaining
A LOT BETTER than the trashie explanation of freecode camp that girl has serious problems jeez
Well explained, thanks for this video.
You're my savior
Helped me alot thankyou for your effort....
big thank you so much. that is very helpful ❤️
at the end why not P is by it self and Q and R are inside the parenthesis?
better than my teacher and I m not even English!
for "Mary will not get money", weren't we supposed to add a quantifier? Thanks, and awesome video presentation btw
Thank you very much for the amazing video. I have one question: in the sentence "If James does not die then Mary will not get any money and James' family will be happy", can we write it as (~P→~Q)^R?
Yeah that’s a fine interpretation because there are no disambiguating hints.
great explination! Not to fast, and you adress everything you're talking about.
For someone who likes precious metals like me, bullion logic is the best.
Thank you sir, I found this video very useful
Amazing stuff, thanks a lot for this video
Thanks a lot:) This is very useful for my Discrete mathematics course
This is so helpful! Thank you :)
Great video. I learned a lot!
Sir thank you so much!
Terima kasih Pak Muklason
Such a great help, thanks 🙏
Yah it's help me alot this vedio logic ,my 2.3 bachelor of biostatistics
Sometimes professors might use ~ for negation.
Thank you So much for this video. This video really helped me understand the concept. Thanks a ton!! Please keep on making videos.
Thank you very much
When the first command that comes to your mind is, "Kick me!" XD
Holy actually helped
Yooooo this really helps ❤️❤️❤️
I am actually Moroccan but i really want to learn maths by English
*sews frog legs to a fish* behold, a man!
Alexander Marcello Rostirolla *Diogenes, holding a featherless biped, enters the chat*
can you do a video on functional completeness
well explained
@trev tutor what writing software are you using for this vid?
thank you so much
really awesome
Oh you’re the best, could you suggest any book to accomplish this topic?
god bless your good soul
Thank God...
I'm able to understand this translation...
It really works ❤❤❤
p -> q, if p then q, is that also can be said as "p implies q?"
From India here 🇮🇳
1:05 well... the fish Tiktaalik is theorized to be the evolutionary human ancestor that came out of the ocean and began life on land so... we technically can say we are fish with legs.😂
I have this kind of doubt taking this course (Computer science) coz it has a logical calculation. Why I avoided math during my school journey, but something took me to this course. But maybe this is the time to Confront my fears
So, how it's going, I just started discrete mathematics this week and I'm really struggling hard tbh, also our professor doesn't explain good cuz I learned more by watching videos and reading from internet, she doesn't show simplified example, talk too fast that it's hard to write things down, erase whiteboard too early and then gives us tough questions to solve that just seems gibberish to me.
helpful thanks so much
The inflection on "with" at 1:07 made me question if I'm a fish without legs...
I thought the cardinality of 0 is 1, because the zero is still an element of a set? If there was no zero in the curly brackets then it'd be empty right? I'm going off your intro video to discrete maths here
Seriously helpful! Thank you!
The exam cheating example is coz which I remember the concept forever
4:35 (for my own use)