Infinity profile picture

Infinity

cardinality_continuum

About Me

“To see the world in a grain of sand, and to see heaven in a wild flower, hold Infinity in the palm of your hands, and eternity in an hour.” – William Blake

I am Infinity, I am not a number nor am I a “place” but rather a state of unbounded-ness. I say “a state” instead of “the state” simply because there is no unique infinity, I present myself in the form of a labyrinth of hierarchies; there are an infinity of “bigger” infinities, this is a consequence (corollary) of Cantor's theorem.

I am rather paradoxical as well. Take for example the Koch Snowflake curve, which by the way is a nowhere differentiable curve, has one of the most astonishing characteristics, the curve contains finite area yet possesses an infinite perimeter;

Only I can derive the irrational from the rational,

My Interests

American Mathematical Society , Mathematical Assoication of America , and National Science Foundation - Division of Mathematical Sciences

I'd like to meet:

Infinitesimal...I hear that guy is Real-ly Hyper.

Books:

AMS , MAA , and Dover publications .

Heroes:

Cantor, Hilbert, and Cauchy just to name a few.

My Blog

An Overview of Modern Algebra (part I)

If you don't like mathematics then don't bother (your head will implode), if you think you like mathematics then please give it a look.  I included a small section dedicated to proofs i...
Posted by Infinity on Sun, 01 Jun 2008 09:34:00 PST

E-book: Non-Euclidean Geometry.

I came across this e-book while viewing the Project Gutenberg website, it's perfectly free from copyright restrictions and so you can host it on yours blogs if you like, but please...
Posted by Infinity on Sun, 25 May 2008 06:01:00 PST

Challenge Problem

I decided to give an easier challenge problem then the previous one, enjoy. Find x.  Update (05/17/08): Another Problem (hard) Three ants are placed at the vertices of an equilateral triang...
Posted by Infinity on Thu, 15 May 2008 06:40:00 PST

The Fundamentals: Formal Proofs and Logic (Part III)

The Fundamentals: Formal Proofs and Logic (Part III) I'm very disappointed in my self for posting such a puny article on proofs, mainly because I cut out so much information to make the...
Posted by Infinity on Thu, 10 Apr 2008 08:00:00 PST

Challenge exercise (very difficult)

Applied mathematics is not my forte but I figured this would be an interesting challenge problem.  Approximately how much time will pass before an object, released from an altitud...
Posted by Infinity on Tue, 08 Apr 2008 08:42:00 PST

Just a question.

Which set do you think is "bigger", i.e. which set contains more points/elements; is the answer obivous?  This is just an interesting theoretical exercise on the topic of...
Posted by Infinity on Sat, 15 Mar 2008 11:49:00 PST

The Fundamentals: Formal Proofs and Logic (Part II)

If there are aspects of this article that you wish for me to explain a little better please let me know. This is a crash course in basic set theory with a small portion at the end dedicated to the th...
Posted by Infinity on Sun, 02 Mar 2008 05:16:00 PST

The Fundamentals: Formal Proofs and Logic

Here it is.  It's approximately six and a half pages long so I suggest that you read this when you have the time.  If anyone is interested I could give some practice problems for you to chew...
Posted by Infinity on Tue, 19 Feb 2008 08:42:00 PST