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View Full Version : infinity being defined as a point on the x and y axis?


onmyresolve
2008-07-28, 19:20
If you are willing, can someone please site me the proofs on how a man defined infinity as a point? perhaps a link? much thanks is appreciated. i checked Google, but i was unable to find anything.

danreil
2008-07-28, 20:12
I don't know exactly what you mean in your post, but if you mean is infinity somewhere on the x-y plane, or Cartesian plane, then it is not. The x-y plane is the geometric representation of the Cartesian product R x R(this is usually said as R cross R), where R represents the real number system. Then R x R is just the set of all ordered pairs (x,y) with x and y in R, and the x-y plane is a picture or representation of this set. However, infinity is not in R since infinity, however you want to think of it, is most definitely not a real number(real in the mathematical sense, not real as in tangible). Thus, since infinity is not in R, then infinity is not in R x R.

However, if you think of the x-y plane as the complex plane(or equivalently identify R x R with the set of complex numbers which is easily done) then you can adjoin a "point at infinity" to obtain something known as the Riemann sphere which is a one-dimensional complex curve and has many interesting mathematical and physical properties. However, this concept is fairly technical and is probably not what you were talking about.

So I'm not entirely sure what you were talking about because there is no point of infinity in R or in R x R. The only place I've heard of there being a point of infinity is the Riemann sphere. If this was what you were thinking about you can read about it online, but there is a fair amount of advanced math involved in its construction.

XtomJames
2008-07-29, 06:35
The answer is simple, infinity is finite.

Let us take a distance say from X to Y.

X------Y

Now we can define this distance as one (1). Now cut it in half, and again, and again, and again. You can cut 1 infinitely in half thus creating infinity.

Now say X and Y are on the same point ---*----

Infinity is thus that point.

xXPhoenixFireXx
2008-07-29, 07:27
So, the idea is that if you travel infinitely in any direction on the x-y plane you will reach a point called infinity. its a little hard to think about bacause heading in two opposite directions gets you to the same place (i.e.) you get the riemann sphere mentioned aboce.

Check wikipedia out.

http://en.wikipedia.org/wiki/Point_at_infinity

irtimixd
2008-07-29, 16:57
Infinity is a concept, not a number; therefore you couldn't reach it on a plane that just displays numbers. Also "infinite is finite" is total bullshit.

XtomJames
2008-07-30, 22:35
No, finite and infinite are concepts of relative perception. They are in fact the same. You assume that something is Bullshit if you don't understand it, you give no explanation as to why its bullshit, you just assume.

The fact is is that infinity represents a state of expansion, or exponentialism. finite represents a sub state of that exponentialism which inturn is in fact exponential. 1 is infinite, as is 2 or any Nth number.

To be more accurate I suggest you read my Regulus Space thread and the explanation I give on the building of natural numbers and how they are derived.

youth in asia
2008-08-01, 18:05
No, finite and infinite are concepts of relative perception. They are in fact the same. You assume that something is Bullshit if you don't understand it, you give no explanation as to why its bullshit, you just assume.

The fact is is that infinity represents a state of expansion, or exponentialism. finite represents a sub state of that exponentialism which inturn is in fact exponential. 1 is infinite, as is 2 or any Nth number.

To be more accurate I suggest you read my Regulus Space thread and the explanation I give on the building of natural numbers and how they are derived.

what the hell are you talking about? numbers like 1 or 2 are not infinite. Instead of us reading your thread, why don't you go and read the other thread about infinity in mad scientists. Maybe it would help if you understood the concept of infinity as related to cardinality.

xXPhoenixFireXx
2008-08-02, 02:10
Infinity is a concept, not a number; therefore you couldn't reach it on a plane that just displays numbers. Also "infinite is finite" is total bullshit.

Sure you can. You just have to use the proper projection ^^.

XtomJames
2008-08-02, 14:18
And how about you go read my thread which gives a bloody full explanation as to the function of Infinity and Finite, which disproves the current math structure as a whole. I'm not going to waste my time reshowing every little thing because you can't see the facts that are already represented.

CaptainCanada
2008-08-04, 04:24
The Cartesian plane can be embedded in the Real Projective Plane, which has points at infinity. This basically amounts to adding one point for each set of lines with the same slope. This construct has the interesting feature that any pair of lines intersects, with parallel lines meeting at infinity. For more information, look up projective geometry.