Intro to Logical Statements

Подписаться 414 тыс.

Просмотров 207 тыс.

50% 1

We begin our exploration into logic by analyzing LOGICAL STATEMENTS:
1) Define what a logical statement is
2) Recognize examples as logical statements or not logical statements
3) Use the symbols for "not", "and", and "or".
4) Break down a sentence into its logical structure.
****************************************************
►Full Course Playlist: DISCRETE MATH: • Discrete Math (Full Co...
****************************************************
Other Course Playlists:
►CALCULUS I: • Calculus I (Limits, De...
►CALCULUS II: • Calculus II (Integrati...
►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 videos, so make sure you reflect, ask questions, and do lots of practice problems!
****************************************************
►Follow me on Twitter: / treforbazett
*****************************************************
This video was created by Dr. Trefor Bazett

Опубликовано:

24 июл 2024

Ссылка:

Скачать:

Готовим ссылку...

Добавить в:

Мой плейлист

Посмотреть позже

Комментарии : 82

@KnakuanaRka 4 года назад

By the way, tip about the OR operation: the word "or" in speech is often equivalent to an operation called the exclusive OR (true if one or the other is true, but not both), like in "Your money or your life". The logical OR is sometimes made more explicit in ambiguous scenarios with "and/or", as in "Violation of the copyright may be punished with a fine and/or jail time."

@maximux2468 2 года назад

excellent observation!

@ETalamante Год назад

From someone who struggles to understand mathematical concepts, this made perfect sense! Thank you for breaking it down like this, and without drawing it out to the point I lose it again!😊

@teachermaria9244 2 года назад

Wow! Cool board. 😁I haven't touched Mathematics for about 12 years. I'm going to study a PGCE in Mathematics, so this is a good refresher. My brain 🧠🤯forgot all this stuff. Such simple, clear and short explanations. Thank you.

@kamboj65 2 года назад

your videos are gems! thank you very much for this great work :) I tried an online Edx course where the teacher tried to explain these statements but for me, it was difficult to follow him, and left the course. After finishing this course (videos series) I would take the Edx course again and I think I could understand it better.

@nikolasigo5173 6 месяцев назад

Is noone else noticing how fluidly Dr. Bazett can write backwards? That is the most impressive thing I swear.

@JordanACG 3 месяца назад

The video is most likely flipped around 😅

@nilukaekanayaka7743 Год назад

Fantastic! That made so much sense, thank you

@skellingtonmeteoryballoon 3 года назад

This class should be a general education requirement.

@bawol-official 3 года назад

It took me until my 2nd year of college before I actually learned about logic of mathematical proofs. It baffles me how much easier it was to learn more modern fields of mathematics with that foundation. Discrete Mathematics should be a required course in High School level math

@DataWiseDiscoveries 3 года назад

nice videos i will start to watch all your videos from today

@realitysucks7861 Год назад

Wtf you are so helpful. I am in sixth grade and I’m literally learning high school/college math! Thank you so much.

@honoringfallenheroes3041 10 месяцев назад

I’m a senior in high school and one of the courses I am taking is college prep math so when I get to college I at least will know what I’m doing. When I learned my 2nd lesson on the 3rd day of school I told my one friend what I was learning and when she asked me what lesson I learned on this day I told her that whoever made the rules way way way back when was either drunk or on high cause nothing made sense but now after watching this it makes a lot more sense. Ps. I’m still trying to understand what the 2nd lesson was and my teacher is on lesson number 6 so this video is super helpful so I don’t have a meltdown in class. 😂

@OwenBochner 5 лет назад

Did you just get super good at writing backwards or something. by the way these videos are awesome and super helpful

@psychedelictacos9118 5 лет назад

I was wondering the same thing

@unknownalien2117 5 лет назад

It’s actually a mirror image

@nam3go3sh3r3 3 года назад

Flipped in editing

@soobratteebilaal1258 11 месяцев назад

He's using a lightboard

@franminanicollier9431 8 месяцев назад

Jeffrey Kaplan on RU-vid has a video explaining how he does exactly the same thing

@joeyp978 3 года назад

Super intimidated by this all so far, seems to be alot of laying groundwork before getting into anything practical, hope it all starts to come together soon.

@DrTrefor 3 года назад

Ya basically. The goal is to build up logical skills first so that in the future when we do the fun stuff that actually applies, you won't be bogged down by the logic parts

@joeyp978 3 года назад

@@DrTrefor Thanks so much for the reply! You are my hero! Great lessons so far as well.

@HM_Milan 4 года назад

Great tutorial found on RU-vid

@mutenroshi2950 Год назад

It is crazy impressive how he's writing on the glass.

@reniersteytler1859 2 года назад

Hi Dr. Are these under a specific playlist on your page?

@FU4Y Год назад

“ How do we deal with this but hanging around here”. Lmao

@lalisa4616 2 года назад

When you don't understand the topic explained by your professor, so she sends you this RU-vid playlist:/ BTW great videos, really made things more understandable.

@rahoulsaigal3001 2 года назад

for the last example of conjunction for the color of the shirt and short. Would it also be correct to write q ' : " my shorts are any other color besides grey" ? and so then the compound statement becomes p ^ q .

@rahoulsaigal3001 2 года назад

Thanks does that mean yes? 😊

@aniketbordekar9941 3 года назад

How did u make this type of video. Which app did u use

@Wildwildmint 8 месяцев назад

Very helpful.

@izvarzone 3 года назад

That's why I like UnrealEd more than Hammer or Quake editor.

@skenjamin7683 15 дней назад

We’re making *absolutely sure* that five is greater than two

@paco3659 2 года назад

Should be teaching at UBC fr :( missed out on a great teacher

@dchandarana 6 месяцев назад

Could anyone answer this question, it does not let me sleep at night sometimes... how on earth is Doctor Trefor in the video writing on that glass sort of thing and it looks right to the viewers? I mean is he writing it inverted from his point of view or is it photoshopped or what? I just cannot get my head around how can someone write inversely and how does it align with the printed content displayed on the screen?

@faroukadda390 11 месяцев назад

Sir I am a new teacher and i want to prepare an accurate course, can you please suggest a reference in the topic for me. Thanks a lot.

@jasonharris351 6 месяцев назад

Is this the first section mathematical statements or logic section?

@bradfin12 3 месяца назад

But and And are like either and neither in this context. It is a signpost for an upcoming negation.

@backoffer3228 4 года назад

What do you think about Kenneth_H_Rosen's book about discrete math?

@backoffer3228 4 года назад

@@DrTrefor Imo, It's very good. Book is Giant, about 1000 pages and all basics included with problems to solve at the end of each chapter. The title is "Discrete Mathematics and it's applications". My teacher had told me to study by this book previous semester, but I started to read it only month ago😅

@continnum_radhe-radhe Год назад

🔥🔥🔥

@captaink_ 3 года назад

In amazed by how he WRITE backward and having a better hand writing than md

@DrTrefor 3 года назад

haha either that or I flip it on my computer:D

@shibasishsarmadhikary1423 3 года назад

Nooo you don't ! 😂😂

@shibasishsarmadhikary1423 3 года назад

Thanks for making me interested in mathematics sir!

@Gullinnova 3 года назад

is he writing backwards that well or is he using a mirror?

@skylerlilacsky6545 4 года назад

I have a Question. if x>2 is not a statement....then what exactly is it ? is there a term to describe what it is ?

@idhamarifalias7120 3 года назад

You right... It should be a statement because it is either true or false... That is what a statement is all about. If we hv to put value, then only can be a statement...? If we put a value to x for x>2, then it will become either a tautology or a contradiction... There is no more either true or false... Example: 5>2 is a tautology.. If we build a truth table for this statement, we only have ONE possibility, which is True. Similarly, 1>2 is a contradiction. If we build a truth table for this statement, we only have ONE possibility, which is False... While in fact, x>2 has value either true or false. If we build the truth table for this statement, there are 2 possibilities. This is a statement is all about... A statement is not about it must be true or must be false. I agree with you

@funnym3tv510 3 года назад

you must know first that x has no value ... so its not true or false... the answer would be like this “ maybe "

@MsSlash89 2 года назад

Yes, there is. Some people call them “predicates”, others call them “free propositions” or “free statements”, because the x is a “free” or “dummy” variable. They are usually denoted with parentheses, such as P(x); once you chose a value for x, such as x=2, it becomes a statement, namely P(2). The study of predicates is called “predicate logic” or “first-order logic”.