Real Numbers Paradox

[newtonisaacma]

WWWROOOOOOOOOOOOOOOOOOOOOOOOON­G

[BWCmike]

This is completely false and the entire trail of logic is based on a fallacy; infinity is not a number

[tomcuchta]

Nice derivation but it is not legitimate.

[richardalsenz]

Infinity is a process not a number.

[artistoex]

you misinterpret the meaning of the expression sum (...) = inf. By convention it means the series grows indefinitely, which in turn means for any (finite) number you'll find a (finite) index k such that the k-th (finite) term is larger than the given number. The equal symbol is this context does not mean "equal" and the infinite symbol does not denote a number. It has a very restricted meaning in the context of series--in any context where it shows up.

[Meansofviewing]

Infinity is infinity, how can it be anything else?

so surely infinity A can't be bigger than infinity B, if it were, it would not be infinity...

or would it?

[darthmath2]

@Meansofviewing

Infinity is not only just infinity.

Some infinities are more equal than others.

Lets say you take all your intergers and add them up.

Forever.

you will get infinity right?

but on your other infinity take all your integers including all the numbers between them and add them up.

Yes they both are infinity but the second infinity includes those decimals (fractions, irrational and so forth) between each number

so the second infinity is more equal than the integer infinity.

[darthmath2]

@Meansofviewing Or some infinities are greater than others.

I am no expert on the topic but you may try and find some works by the guy who showed some infinities are larger than others.

[Meansofviewing]

@darthmath2

Point is, it doesn't matter how great an infinity is, since either infinity is infinitely great.

Mindfucked myself O.o

[darthmath2]

@Meansofviewing

But some are greater than others.

[Meansofviewing]

@darthmath2

It goes into infinity, therefor both are infitely great.

No matter how great the starting point is.

take 100, 200, 300, 400 into infinity

and 1, 2, 3, 4 into infinity

they are still in infinity, so they should be equal to one another.

Unless infinity actually has an end, i don't see the logic of an infinity greater than another.

[darthmath2]

@Meansofviewing

Not they are not.

They proved mathematically some infinity are larger than others.

They disproved the concept that infinity is just infinitely great.

Look at the proof they did.

You can find the link to it on pauls online notes, under calculus proofs, under infinities. and there is a link why some are greater than others.

sum integers 1 to infinity (means 1,2,3..n)

sum all real numbers from 1 to infinity (means 1, 1.00000000000001, all irrational, integer,fractions)

[darthmath2]

@Meansofviewing

There are many types of infinities, like countable and uncountable.

Uncountable are well obviously larger than countable infinities.

The logic to this is in the mathematics.

Read the link "Georg Cantor the man who tamed infinity" it explains what people thought of infinity and they theory.

Just copy and paste the title of the article on google and the pdf file should come out.

Happy reading!

[YTMrVulcan]

If there would be a difference between infinity a and infinity b, then surely infinity a would be *less* than infinity b.

[tbowen8615]

and from this we can conclude that infinity plus infinity = this guy is a dumbass

[ba77ar90]

D:

[messakg123]

You can't treat infinity like its a number

[RUL1S88]

~FAIL~ infinity(a) is not greater than infinity(b). They are both the same values because infinity has no fucking end you dumbass! And you can't subtract from infinity to infinity.

[anaikahas]

You cant add infinty to a real number, or do any other 'regular' mathematic operations (like subtraction, multipication, divison etc.) for that matter.

[rongrite]

Thanks, that was just the answer i was looking for. The center of gravity of a volume of mass is a point. The biggest volume of mass is the universe, which is an infinite volume, so the center of gravity for the universe, where the universe can show its' infinite mass, is everywhere. And that mass, presents itself through the diameter of finite, inaccessible, cores of volume, as a proportion of the total mass of the universe, as gravity, from that volumes' center of mass, within 5 volumes of ∞.

[rongrite]

@rongrite

The point is the mass of the universe without an aperture to show gravity. Dark matter. The universe is an aperture of infinite diameter, it's total mass is always the same, though infinite. 2 masses of volume in the same universe. As it takes 2 points to make a line,3 lines, a plain, 4 plains, a volume. It must take 5 volumes of volume to make the fourth dimension, time. And volumes can only fit within volumes between infinite and zero diameter. And we find these volumes as cores.

[rongrite]

@rongrite Between the point and the infinite there must be at least 3 more volumes of universe, These are detected through weight or gravity, and are found in the inaccessible cores of atoms, stars and galaxies.

And the gravity from the weight of the all the mass in the universe expresses itself as just and atomic weight or a center of gravity, through that finite diameter of volume, always containing, another infinite number of points. The weight of a part must be a division of the whole.