Set Theory Chapter: Definitions of "a finite set" and "an infinite set"
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- Опубліковано 6 сер 2024
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In this video, we use the formal definitions of finite and infinite and look at examples in which we determine whether a set is finite or infinite.
A set is finite means that the number of elements in the set is a whole number.
If there is no particular whole number that gives the number of elements in the set, then the set is infinite.
The term "whole numbers" refers to the set {0,1,2,3,... }. The term "natural numbers" refers to all the whole numbers except 0.
Thank you for creating this. Honestly I've always used UA-cam videos to learn content for online courses. Having ones made direct for what I am studying is a life saver!
Great to hear!
This video was amazing easy to understand and super thorough, you’re the best ! ❤
Exactly same what i want to understand . So thankyou so much for this video
Katherine O'B. MGF1106 F9:30
I'm glad you showed a written example of a natural number greater than 60 and how to correctly answer it. If I saw this on a test without watching your video I would have gotten it wrong. This video helped me to realize I need to slow down and re-read what the question is asking of me instead of racing through it. You also clearly explained the difference between finite and infinite. Thank you, Prof. Hearn.
Dorcas Alao - this video taught me how to differentiate what a infinite set is from a finite set
Taught me better than my lecturer
Jenn Kral. ( MGF 1106 F9:30)
- Thanks Prof. Hearn. I learned that even though the numbers in the set were whole numbers, because the set ended with the ..., it did not count as a whole number, therefor making it it infinite.
Estera Lador (MGF1106 F930)
Thank you so much for helping me understand these terms! Seeing the examples really did help me a lot. One thing I learned while watching this video was, how to tell the differece between an finite & infinite number and WHY it was finite or infinite. When I see this on the test, it will help me pick the right answer because of the explination and examples. These terms are short and simple, but it's only simple if you understand it!
Gold
Caila Davis
(MGF1106 F930) Every Friday 9:30-10:45
After watching the video I learned that just because a set has an ellipsis does not mean that the set is infinite.Knowing this will help me be prepared for Test 1
Kevin White (MGF1106 F930) Friday
9:30 to 10:45
After watching this video I learned if a set has no particularly whole number than it is infinite and if it is a whole number in the set it is finite. Thank you professor Hearn for the great lesson!
I like how the way you teach😊im stuying around months, but I can just learned about 5min.
Awesome! Thank you!
Ko
I I love your voice
Valentina amaya
MGF1106 9:30am
I learned that a set with no numbers in it is called a null set as well as when their are dots in the set it means you have to find the number that can fill in or replace those dots. This will help me for the ch. 2-3 test because when a problems comes up that is similar I will be able to know how to solve it.
Jaime from (MGF1106 F930). I like how you explain the problem and add side notes in different ink in the video. Hopefully this, the notes and reviewing will all add up :)
Thank you for the great explanation
Susan Jardines MGF1106 F930
After watching this I now have a clear understanding of how to tell and what it means when a set is finite or infinite! Thank you prof!
Thanks thank you you helped me a lot love you you're a great😍😍😃😃😃
You're welcome 😊 Happy it was helpful!
Super helpful. Thank you so much!
You’re welcome! I’m glad it was helpful. 👍☺️
thank you for this!
You're so welcome! :-)
Thank you i have learned enough ☺️
You’re welcome 😊
The fact that i thought i was ganna learn for like 1 hours but i learn for like 5 or 6 minutes 😳 thank you :)
Yayyy! 👍😆
Andrea Castillo MGF1106 f930
Thanks to this video I understood that if for example my set is {1,2,3,4,...,13,14} my cardinality is 6 and not 14 because there is only 6 written numbers in my set.
This was easy as hell😆😆btw iam not even a mths student but still it's fun to learn
Thanks for watching. That’s awesome!
Danielle Bramos (MGF1106 F930) Thank you professor. This video helped me to have a clear understanding of how to identify Finite and Infinite and will surely help when taking our first test on chapters 2-3. Thanks again!
Sri Lanka's first innings 5 the name was a little more in a 5AM of the
Jorge Cereghino - MGF1106/F9:30am
Very informative video Professor. Now I know that Whole Numbers are the natural numbers starting at 0 but this set of numbers is IRONICALLY Infinite.
Shameeza M. MGF1106 F 9:30
Before going over this in class and watching the video I didn't know the difference between a finite and infinite set. To remember the definitions I think of infinity for infinite since there is no particular whole number and finite which is the opposite would mean the number of elements is a whole number.
Thanks for watching! :-)
Marcela Munoz (MGF1106 F930) Hi Prof Hern, thanks for the explanation now it is clear that even if the det is composed of whle numbers if there is not a whole number that gives us the quantity of elements it cannot be named as a whole number because infinite is not a whole number
thank you
You’re Welcome! Thanks for watching!
Jolanda Bostick
MGF1106
The video helped me understand the difference between finite and infinite sets
👍 👍 👍 good
Thank you! Cheers!
Me can't body's with this
😎
Thanks for watching!
Tatyana Henfield
MGF1106-298I believe out of Chapter 2 thus far this video was the easiest material to understand. Thank you!
Hi Miss
9:30
Hi love your channel IAM so ubses
Hey, thanks!
@KYRA MALCOLM Thanks so much! :-)
এটা কি বাংলাতে দেওয়া যাবে
million and two ... writing 100002 😅
Your voice😂❤
Thanks for watching!
Any mallus hear..🐒