Harristotelian Logic

Here's a roadmap to my research, current as of 8/10/06, the date of this post.

Here's an overview of research that I want to focus on at this point in time. Most of it is on my blog mymath.blogspot.com as this group is meant to be a discussion area for number theory related to what is on the blog, so you can talk about cryptology, basic number theory, algebraic number theory, or any of a variety of subjects near, like computer programming related to number theory, etc. and I hope to do only minimal moderation if necessary, and objective criticisms are appreciated!

MY RESEARCH A ROADMAP:

I have given a definition of mathematical proof:

http://mymath.blogspot.com/2005/07/definition-of-mathematical-proof.html

Figured out the key properties that define rings that are like the ring of integers:

http://mymath.blogspot.com/2005/03/object-ring.html

Found my own prime counting function, which unlike any other known relies on summing a partial difference equation, which is also why it finds primes on its own, unlike any other known:

http://mymath.blogspot.com/2005/06/counting-primes.html

Fighting mathematicians who have done their best to ignore my research I wrote the first prime counting function article for the Wikipedia, where my latest version is now found in the history of the current page:

http://en.wikipedia.org/w/index.php?title=Prime_counting_function&old…

There readers can see my prime counting function in its fully mathematicized "pure" form, and see how it is a summation, so they can make the leap to understanding how it relates to a partial differential equation and an integration.

I had a paper published in a formally peer reviewed mathematical journal—and then the editors withdrew it after sci.math pressure against it:

http://www.emis.de/journals/SWJPAM/vol2-03.html

Link is to a site mirror as the electronic journal DIED a few months later.

That paper covered some pioneering research advancing modular algebra or the algebra of congruences, extending on the work started by Gauss:

http://mymath.blogspot.com/2005/07/tautological-spaces-factoring.html

Which is a line of attack I used to find a short proof of Fermat's Last Theorem:

http://mymath.blogspot.com/2006/03/proof-of-fermats-last-theorem.html

But I've even considered problems in logic and set theory, handling supposed contradictions:

http://mymath.blogspot.com/2005/06/three-valued-logic.html

and

http://mymath.blogspot.com/2005/05/logical-formedness-axioms.html

and

http://mymath.blogspot.com/2005/06/3-logic-more-basics.html

I have factoring research:

http://mymath.blogspot.com/2006/07/factoring-and-residues.html

And other research on primes specific to probability:

http://mymath.blogspot.com/2006/07/twin-primes-probability_30.html

http://mymath.blogspot.com/2006/08/prime-gap-equation.html

Even some of my minor research is significant, as I talked about a simple way to find primes using quadratic residues:

http://mymath.blogspot.com/2006/04/method-for-quickly-finding-primes.html

The only explanation given the breadth of my research, and dramatic events like a math journal imploding after publishing then retracting a paper of mine is that it is so huge that mathematicians who are living in a political society today—where their word is more important than their research—are fighting a war to deny acceptance of any of it.

If any piece of my research is acknowledged as important from my definition of mathematical proof to my ideas about finding primes then they have to fear that the world will realize what they are doing, so the math wars as I call them are political ones.

It is a fight of group power against mathematical truth.