What Aleph Cipher Means 28 March 2009

Where did the name "AlephCipher" come from? The name AlephCipher comes from one of my favorite mathematical arguments, Cantor's Diagonal Argument. With this argument it can be established that there are several "sizes" or cardinalities of infinity. Aleph sub zero is the first cardinality, equal to the size of the natural (positive integers) numbers.

What is an Aleph? An aleph is the first letter in the hebrew alphabet, it is used with various "sub" numbers to designate the cardinality of a set of numbers.

Why not alephnull or alephzero? Well it would make more sense to choose the domain alephnull or alephzero they where taken at the time, so I chose alephcipher. Why? because cipher (if you look it up in a dictionary) is another word for zero, also I have an interest in encryption which includes the technology of ciphers.

Where can I find out more about the Diagonal Argument and the AlephCipher? For starters the Wikipedia articles are good (not academically viable though) sources: Aleph Null and Cantor's Diagonal Argument. If you really want to dig in and find out a lot more I highly suggest taking a Mathematical Proofs and Logic class from your local college (although it is a higher level course, so beware of prereq's) or you could just pick up some books on proofs and logic (math logic not philisophical, similar but not the same) from your local bookstore or library.