Propositional Logic in 53 Minutes

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This is the ultimate guide to propositional logic in discrete mathematics. We cover propositions, truth tables, connectives, syntax, semantics, logical equivalence, translating english to logic, and even logic inferences and logical deductions.
00:00 Propositions
02:47 Connectives
05:13 Well-formed Formula (wffs)
08:30 Logic Syntax
10:25 Truth Tables
20:46 Truth Table Practice Exercises
28:23 Tautologies, Contradictions, and Contingent Wffs
30:40 Logical Equivalence with Truth Tables
33:14 Conditionals, Inverses, Converses, And Contrapositives
35:52 Logic Laws
40:42 Arguments
41:58 Translating English into Logic
46:17 Logical Inferences and Deductions
50:13 Logical Inference Practice Exercises
#PropositionalLogic
#DiscreteMathematics
#ComputingScience
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Опубликовано:

24 июл 2024

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Комментарии : 66

@Trevtutor 9 месяцев назад

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!

@awthura9599 Год назад

You explained everything ten times better than my college professor, who I felt like speaking an alien language in class. Much appreciated 👍

@aldrichemrys 2 года назад

Mans dropped a banger after being in hiatus for six-months. Thanks, Trev. Your content is always top-quality, a free education punching above its own class.

@adriancollier4681 2 года назад

All the homies listen to The Ultimate Guide to Propositional Logic for Discrete Mathematics

@hacker0007 2 года назад

Wow! Look at me with Discrete Math exam tomorrow.

@sinanermis 8 месяцев назад

i never thought i would love to watch an entire logic lesson thank you so much

@imaginecloudsxo7987 2 года назад

AH, omg, the way I got excited when I saw you came back with a banger after 7 months!!! I honestly missed your videos and I need this so much. Saving our lives again, thanks king

@lak2501 3 месяца назад

You are better than my professor. He had me thinking I was an idiot you showed me how easy this all really is. 🙏🏾🙏🏾

@romanpashkovsky3480 Год назад

Thanks, Trev! Very neat explanation, and this propositional logic part of math is so fun!

@DominicI1 Год назад

Thank you so much for this, you really explained 6 lectures worth of material (with 20-30 slides per lecture) in time frame of a single lecture. Not only did you do this, but you did it in a way that was intuitive and really "clicked" with me. Again, thank you!

@MateusKaterp 2 года назад

today I was watching your old videos to understand discrete maths better and I just realized you posted something 1 hour ago, coincidence? :O

@kevcopo 2 года назад

Bro JUST in time for my final tomorrow! You are the clutch king my good sir

@deathbyvinyl 2 года назад

was your final for intro to discrete math, and if so, was it just propositional logic?

@amelookssus Год назад

Same here

@bwain_11 Год назад

Saving my ass in discrete maths 1 in uni, you're the reason I'm passing thank u so much!

@muyak17 9 месяцев назад

Thank you so much. You just saved me from failing one of my courses. Your content is really unique. Makes this stuff understandable and so easy

@graceko9308 2 года назад

hi trev, just wanted to let you know i love you :'D i was really hoping if you could cover calculus 3 as well, I'm taking it next semester and you're videos are so clear and concise and helpful, you're my go to when trying to learn math (you helped me so much in discrete and linear!) i would really appreciate it! hope you see this D:

@althealim3190 3 месяца назад

i learned so much about propositional logic and the terms again since I have forgotten it already!! these onclude conjunction, disjunction, biconditional, negation, and implication. this is also very uselful in real life applications! These examples really helped with my skills in reasons and validating arguments

@rafsanishazidnasif5556 Год назад

Thanks a lot trev. Your videos were so helpful

@angelica01121 Год назад

Thank you for you Trev ! I've watched all of ur videos and it helped me a lot ❤❤

@razze127 2 года назад

Thank you! Will be very useful for me

@alejandroc4960 2 года назад

Super happy to see you post again :) love your videos

@annecanabarro 3 месяца назад

Thanks! clear and concise

@federicomatarante7592 8 месяцев назад

Good job! You made logic so easy!

@snowa4444 Год назад

wow, the editing and clear instructions are just perfect! you have a talent for chopping up discrete math into easier bits for me to chew! thank you for taking the time to make this video !!! :)))

@Trevtutor 8 месяцев назад

Thanks! (There’s no editing though, this is one take haha)

@larainelu9228 2 года назад

A good hour long video to help me fall asleep tonight. Magical Voice. Saved!

@user-vv7pq7jd7f 9 месяцев назад

BEAUTIFULLY EXPLAINED

@KainePamela 5 месяцев назад

Thank you very much! With this, I already feel more confident in passing the logic exam and not failing it again like the first time. Especially the inference rules make waay more sense now! Wish all profs explained matters like this! (And not with long-winded book explanations...)

@jhtkompassgamingproduction8463 11 месяцев назад

Mann, Thank you,, I might understand this time, 1 hr and 30 min. in college isn't enough to understand this thing.

@safnank 2 года назад

Was just watching Propositional logic in the Discrete Maths playlist and this popped up! Thanks a lot a lot a LOT for making these videos!!

@safnank 2 года назад

Update: It went well, thanks a lot for making those videos!!

@ussumaneembalo2643 7 месяцев назад

great explanation thank you Trev.

@ramaachalla6316 11 месяцев назад

Kudos .......... very well explained, better than my Uni lecturer.

@nour_780 6 месяцев назад

‏‪18:06‬‏ I like it as if it were a promise. Whether you return and fulfill the promise or not, the statement is true. If you promise me and fulfill the promise, then the statement is true only if you keep your word.

@T-The-K 2 года назад

Are you going to make a similar video for Predicate logic? You're carrying the math of my Ai undergrad on your shoulders. I hope i can support you in the future. Thank you so much!

@biscotty6669 6 месяцев назад

Great vids! Thanks! "Just in case that" makes sense if you add the missing article: "Just (only) in the case that".

@yehaime884 10 месяцев назад

life changinggg!

@uzzielledelacruz Год назад

thanks so much!

@moutafatin 10 месяцев назад

Well the last part about logical inferences is like Gebrish for me. Thanks for this.

@leediins 2 года назад

good stuff king trev

@aryansoriginals 2 года назад

thanks for this buddy boo

@user-gp5ew8cv5y 8 месяцев назад

thank you so much you saved my life in math today

@Trevtutor 8 месяцев назад

You're so welcome!

@Adalfarus Год назад

Thx dude, this is gonna save my ass on my test tomorrow. I didn’t think I signed up for this when I started studying philosophy xD (jkjk)

@user-vb3hk8so6j 10 месяцев назад

GOD BLESS YOU

@_ramen Месяц назад

the implication operator can also be expressed as p->q = max(1-val(p),val(q))

@ayushkrishna1726 10 месяцев назад

love you bro

@Trevtutor 10 месяцев назад

Love you too

@ColeCaccamise 2 года назад

A f-ing legend.

@MariaSanchez-wz4kc 2 года назад

king asf imma use this to study for my final

@whodislmao7346 11 месяцев назад

i love you😭

@MathCuriousity 6 месяцев назад

I have watched much of yours and others on formal logic but I keep coming across confusing terms: Do you mind helping me for predicate logic in explaining the difference between the following terms “interpretation” “structure” “semantics” “model” “theory”. Maybe visually also like if each fits inside another?

@jackielou1121 2 года назад

Self-studying here because for now I don't have the financial power to pursue😂. And I am tutoring some students to earn and learn 😉

@thedeathofbirth0763 Год назад

Trev,at 27:32 I get (0,0,1,0) for (p & ̴ q )because in my table I listed "q" first and "p" in the second column, so my final result became(1,0,1,0) ! The reason I thought that I must list q in the first column was that in the WFF we have (q→ ̴ p). Can you explain, what is the logical order of listing the variables in our table please? because then my result is q and not p!

@Trevtutor Год назад

You can introduce them in whatever order you see fit, but the resultant table will be different. Usually it’s alphabetical.

@imaginecloudsxo7987 2 года назад

Is there a way to contact you via e-mail? The address, which is listed on your profile, does not work :(

@ChaosCardIC1000 4 месяца назад

This is going to sound pretty wild but what if for the implication table the last to options for p and q actually result in the answer 1 and 0 instead of 1. Effectively p and q are in a superposition until we know if we get desert or not 🎂.

@brainfault 2 года назад

I've been watching a number of your videos -- clear and excellent explanations, thank you. However, I have to object to your equating of the English "unless" to logical OR here and in another video. It is not the same. For example, let's consider the sentence "I'm going to the party, unless you are going to the same party". It can be rephrased without the use of "unless" as "If you are going to the party, I'm not going. If you are not going, I'm going." So, the truth table looks like this: 1 1 0 1 0 1 0 1 1 0 0 0 The original sentence can only be true if (and only if) only one of us is at the party. Both of us cannot be there (first line), because I said I'm not going if you are going. And none of us cannot be there (last line), because I said I'm going if you are not going. The truth table is different from OR's table, and is actually the same as XOR. What am I missing?