infinite comes in different sizes. Do you believe it?

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codeme

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when I first heard about it, I said hell no.

Kiddo

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codeme

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ok...then
a ={0 2 4 6 8.......}
b={0 1 2 3 4 5....}
here set b have more stuff then set a so, set b is supposed to be bigger infinite then a.

what u think?

Kiddo

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Infinity is not a number like any other real number; you can call it undefined. As such, you cannot think of infinity as a finite count; i.e. it is not a single number. So, in your two sets, both of the sets have infinite number of elements.

Even our Yajurveda has a definition for infinity and this might clarify further: If you remove a part from infinity or add a part to the infinity, what you will get is still infinity (i.e. not infinity+part). Infinity can thus be taken as a concept here.

If that's not clear, one last try, my own way:
When you divide a number, say, 100 by 50 you will get two parts.
Now, divide 100 by 10 and you will get 10 parts. 100 is your numerator and 10 is the denominator. As you keep on dicreasing the denominator, you will get more and more parts (quotient).When 100 is divided by 1, you will get even more parts (100 parts). Divide 100 by 0.1 and now you get 1000 parts; divide 100 by 0.01 you get 10000 parts and so on.
Now, imagine you keep on dividing 100 by 0.00....0001; you will get a really big number.
0 is less than 0.000....001 so when you divide 100 by 0, you will get a number so big, you cannot even divide. But let's think about what we've done here, dividing 100 by 50 means, dividing 100 into 50 parts. What does dividing 100 by 0 mean? Dividing 100 into 0 parts..that doesn't make sense in conventional form, right? That's your infinity; undefined.

ne0

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A good representation of Infinity

http://htwins.net/scale2

Last edited: 14-Mar-12 02:30 PM

Dissident

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Just think of two circles, one big and the other smaller. The number of points in each circle counts to infinity, but is the number of the points in the bigger circle greater than the number of points in the smaller circle? Does that say that the earlier infinity is bigger than the later infinty?

Infinty always baffles me.

Kiddo

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Is that a question? If yes, please read what I wrote above.

Dissident

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Kiddo,
Thank you for pointing that out, but that is a very basic concept(namely limit), that I was aware of very long ago. And by the way, that was not a question, I was pondering.
As for me, 0 is not a number, but a concept, no number is close to zero, be it a million, 1000, 1, 0.01, .00000000000...00001 or whatever; zero is just non existance.
As a comupter scientist, I see zero as OFF and all other numbers as ON.
There are many theories regarding zero and infinity, you are free to choose. The only thing is I haven't been able to choose one

. But sure, infinity is undefined.

Last edited: 14-Mar-12 03:19 PM

Kiddo

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Your thoughts are in right direction. Good logic behind OFF/ON.

fortunefaded

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I will strictly talk from the view of mathematics since it looks like that's where you are coming from...
This takes me back to when I first learned of Cantor's diagonal argument. To your question of set a and b. They both have the same size, proper mathematical term being cardinality.
But the cardinaility of real numbers is greater than natural number, which one can see because there are infinitely many real numbers within any two natural numbers.
But what used to trip me off is that the cardinality of natural numbers and rational numbers are same, even though there are infinitely many rational numbers within any 2 natural numbers. It's one of those things that I believe the diagonlization proof shows.

So there are various levels of infinity and it's interesting to think of them but few philosophers and mathematicans went crazy from it so I would try to avoid it if possible :D

FF

one that got away

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Kiddo brother demonstrating why little knowledge is dangerous, again !

Kiddo

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So,
I normally don’t respond to this childish non-sensical comments. But it got me thinking; boy I must have twisted his (OTGA’s) hands somewhere else that he is now sniffing my butt everywhere.

Then I remembered, this is the same kid who was bragging about driving while drunk. I sternly warned you not to ever drive drunk and that I’d not only call a cop on him if I knew him but also whack him real hard.

Kid, take it easy. Don’t make Sajha your lifeblood, don’t take everything so personally and seriously.
I’d argue with you about what “little knowledge” you are talking about here and what exactly I said is so dangerous, but then you can only argue with somebody who has an ounce of brain; you seem to lack it, so I will spare you this time. Go outside and talk to people, maybe that way you can heal your pride easier. Don’t come here trolling adults and people who actually have something to say. Make good use of your time, that’s all I have to say to punks like you.