The Language of Mathematics (3): The Real Number Set - Part 1

[happypup70]

I appreciate what you are trying to lay down but get your history of mathematics right. Real numbers have been defined for quite some time. You may be right that zero still has some questions to answer but to imply that zero, or rather none of something was a foreign concept is just wrong. you should use the case of 1 divided by zero as an example as the inexplicable nature of zero not sheep herders in a bar.

[chychochycho]

see "The Language of Mathematics (5): Zero and Infinity". That said, considering you had problems with this video, you may also find faults with the Zero and Infinity video as well.

[eduardosayas]

giant crayon! man youre amazing your an expert

[devarkk]

I wish I had a teacher like you 20 years ago.

[chychochycho]

thanks :)

[xchris1800]

at last I found a smart guy. Good video.

[josephgreen2008]

Try this trick,

999999999999999999999999999/9/­.9

I discovered this trick on my new calculator that I had saved up my pocket money to buy when I was 12 years of age in 1974(That calculator only had 7 digits!!,and had and LED screen which was fantastic in a dark room as a kid)

Do you know what it is before you do the math??

Have fun you will be surprised......great vids You are the MASTER when it comes to teaching math

[chychochycho]

I didn't know what it was before doing it, no. Cute :)

Thanks for the complement as well, I do love making the vids :))

[dizzytrizzy07]

"just imagine them sitting in the bar, talking together... what will the shepherds be talking about?" i thought i heard, "they're talking about SHIT of course"! xD lol

[dizzytrizzy07]

@dizzytrizzy07 but anyway, very clear explanation, Mr... thank you! ^u^

[chychochycho]

You're very welcome :)

[PoqUkePlayer]

ok yeah can you come teach my class? haha my teacher doesn't seem to know how to teach the basics of math, and goes way too fast with her teaching. you're a life saver haha

[chychochycho]

Saving lives through math, who knew. Love it :)

[Ecite]

Thanks for these uploads man.

[chychochycho]

You're welcome brother. 

[meatloafgodxer]

haha i was looking for something that would teach me how to distingiush different numbers from the different sets and i actually found this video not only very informative but also very entertaining

[Crapulency]

what a complete and utter twat. Wrong. Basic, schoolboy logic wrong. Embarrassig, Wrong.

"THe basics is the real number set"

"The real number set is just one realiy"

Before you start talking like a maths guru (clever -looking beard to boot) learn how to talk.

Shamefully, dumblfully wrong.

SHeep?

ALl he has done is write on a wall what his teacher wrote on a wall. And he believed it.

[okisoba]

@Crapulency can you explain how he's wrong?

[MAJESTIcag7]

@Crapulency Why don't you show and prove his fallacy if you view it as incorrect instead of criticizing without bring forth any understanding of your own on the matter?

MAJESTIC

[daoudshiva]

@Crapulency lol

[FruitSaladExtreme]

good shit.

[StevoArtist]

The concept of a zero is the same as the concept of a datum.

[dukenthaylor]

OK. So DATUM is to DATA as ZERO is to .....?

[ZesViertien]

Isn't zero just a marker set in an infinite number span so we have a simple reference to make calculations from?

[chychochycho]

That's sort of like saying that the Earth is just the third planet in the solar system. It's true, but there is a lot more to the earth than just being the 3rd rock around the sun (from our perspective anyway).

[ZesViertien]

I know zero is (very) closely related to infinity. And I'm a complete math noob... honest.

But still I've been thinking about what you said above but theres something that bugs me.

Basicly... what I think you mean is that it doesn't matter where we put zero in the infinite (universe) it still has it's "magical" property's that make it special.

I started watching your video's to refresh my math skills for some datacompression idear's I had/have.

But "zero" is just such a facinating thing.

[chychochycho]

Sort of, but i don't think the universe is infinite. If it was then the night sky would not be dark. I'm going to talk about this when i deal more with zero and infinity.

zero in the absolute sense of the word, meaning "nothing", is indeed special, because we really have no idea what nothing is.

[ZesViertien]

The only thing I can say to that is that I absolutely agree with it and I can't wait for the video.

But I don't see an end in real numbers, and I hope I have the term right. But -1-0-1 going on forever in both ways.

I would see the universe as the flipside of infinity in real numbers... I see no logical reason for it to be infinite.

I agree it was a bad example, but you started about "3rd planet from the sun". :)

[mojitobanana]

@chychochycho Just because the night sky is dark, it means that the universe is not infinite? How come you don't believe in infinity?- I'm not that much in theology by the way- I believe that there is no beginning and no end when it comes to the universe, therefore it must be infinite. If there was an end, then what IS the end? Nothing is something too. Even if it's a dark space without any atoms, it would be a 'something', it's just hard to imagine. Tell me what you think, btw r u Persian?

[chychochycho]

I use infinity is two different way; first to mean that something goes on forever, second to mean that something collapses (dividing by zero).

What we think we know of the universe is that there was no matter to begin with. Everything was energy. The question is, what is beyond matter (the matter that we can see anyway)... as well, what is dark matter?

I personally believe that there is a boundary to the universe that we see... the night sky is dark.

[Lexman1]

I have never truly grasped Math as a whole. Decided I would really try to expand my knowledge and move back to the basics. Looks like I have found a great teacher!

[MrSirSnoozealot]

Wow. This. was. awesome. Thank you for illuminating something that's always sorta befuddled me (kinda a mathphobic). You have a really funny personality, only wish I had had a teacher like this. GREAT MUSIC! Where are you from? Thank you so much for making these videos!

[chychochycho]

My pleasure :)

As for where I'm from, Vancouver, Canada.

[oreion69]

Thank you for sharing your valuable and understandble knowledge with us.

You're really a big help! =)

[chychochycho]

glad to be of help :)

[chychochycho]

one reason is what you pointed out, it reflects "chronological discovery", however, there are more important reasons to divide the numbers in these subgroups, and that is to define criteria for certain function/identities/relations etc...

For example take a look at the Language of Mathematics III videos 89 to 91. We use these subsets to define what a polynomial is, i.e. N can only be an element of the Whole numbers for polynomials.

[dhannyboy86]

that song is awesome! great lyrics and a great vid!

[glowingdarkmatter25]

yeah, terrible song...

[GuiltlessOne]

good topic, bad music

[raoulhery]

that's music is a classic bro!!! listen carrefully to the lyrics

[whatevtube]

I think zero was a discovery, you were correct with your term. It, however, was not an invention.

Sort of like the discovery of electricity.

[GR1o6180339887498948]

It's still strange that even the ancient Greeks did not figure out that zero is a number. Zero is an incredible number, besides being the additive identity, one also finds it in Euler's identity. It never changes a single number in the process of addition and it's part of one of the most beautiful math theories of all time; very inspiring indeed.

[Syoles]

And a really big BLUE PENIS. Oh i also bought the orange one as well.

[MasterPervy123]

Wish you had been my Teacher at school. Thankyou for your lessons, Finally starting to understand & enjoy Maths.

[luisfigo7et10]

divide by 0 give infinity false. cause 0/0 is not. And don't put in people's head that it is possible to divide by 0

[luisfigo7et10]

sorry it is no I but Z

[luisfigo7et10]

it is forbiden to write on walls, you will make children make the same.

Sets are not boxes (it is not natural) but more rounds.

And it is not W but Z (for positive and negative numbers)

And for N you forgot 0.

There is a lot of mistakes

[24Adrian24]

Stupidity is a language as well...i see you're quite fluent in it as well...

[shreeve21]

I am a math major (junior), and something that has never been explained to me is the following: If 0 is a whole number and not a natural number, then can 10 really be a natural number with the zero being what makes 10=10 and not 10=1? Im not trying to be philosphical here, it has just never made sense...

[whatevtube]

0 alone is different than the 0 that appears in the number 10. I am not sure if I am correct, but the 0 that appears in the number 10 is a place-holder and does not have the same properties as the true number 0.

[dukenthaylor]

Right! 0 is the most important number in existence. It's critical as a placeholder, in that it:

- Logically balances both the infinite and negative-infinite extremes of our universe (like a fulcrum),

- Abstractly provides value ('0' sheep),

- Physically becomes the necessary 10th digit that gives our base-10 number system a critical rank-and-file practicality for subtracting (ex: 5 sheep - 5 sheep = 0 sheep), grouping (ex: ages 20-29, the 80s) and marking time (ex: 5..4..3..2..1..LIFT0FF!)

[FeelOfFriction]

Now this is how to teach! Your cool

[arenms]

Wow, you are cool man. Can I please ask a question? What is the name of the song?

Man you are cool.. I wish you could be my teacher man. I wish you good luck with your mathematic.

Cheers man..

[chychochycho]

cool, glad you liked. the song is "Mathematics" by Mos Def from the album "Black on Both Sides"

[transhuman7]

These are really great videos. Very original and brings out the coolness of mathematics!

[chychochycho]

thanks :) ... they were also a lot of fun to make :))

[otheipion]

Very creative and engaging - I like your style. Just thought I'd mention that our good mathematics teachers (and some of them are very, very good) actually do emphasize not using calculators. The problem isn't really with the teachers; over-sized classes and almost no money. Teachers who insist on higher standards always find resistance. Administration doesn't understand academia. LOL.

Anyway, thanks again!

[N090D]

Thank you for makin these videos

[chychochycho]

you're welcome ... its my pleasure :)