An Introduction to this Blog

I do not have very much formal math training. I pretty much failed calculus, though I did okay my second time through (after dropping out the first time.) However, I want to do math. I like math. I have some mathematical ideas that I think might be novel, but I can't describe because I lack the terminology.

This blog is going to be dedicated to an explanation of the mathematical ideas that I want to communicate and yet can't because I don't know the language. Some of them may be obvious to someone with any sort of education in mathematics. Some of them might not. I am going to try and explain how my ideas work with as much detail as possible.

At some points I will try to solve Putnam problems, which are well-documented and powerfully written problems that undergraduates compete to solve. At other times I will just spit out ideas that I think might be cool.

I have almost no mathematical vocabulary. I am no good at math, mostly because it's too small, complicated, and situational. I like sweeping, grand observations and relationships between objects. I like to solve problems in a big way.

The ultimate goal of this blog is to attract someone who knows a bit about math and can put the ideas I have into symbols that other mathematicians will understand. Beyond that, I have no control over my ideas.

My only hope is that I do not come off as a babbling idiot who knows nothing about conceptual theory. There are people who are probably far, far more knowledgeable than I am. I am just an idiot. But I do have some ideas that I think are interesting, and I want to describe them.

I hope you will understand. Thank you for reading this blog, and I wish you the best trying to understand me.

Comments

Post a Comment

Popular posts from this blog

Dilution.

This is my first real idea. Here we go. Take the image of a circle. Its motion through space should be fairly constant. When you look at it, you see that it is a circle. Or, take any image. It doesn't matter. Then make it conceptually blurry. Not physically blurry. You can see the image, and it looks the same, but the way it is processed by mathematical functions changes according to some rule set. In this example, the points on the image are physically next to each other like in the original object, but not mathematically next to each other. For example, in the original image, a red pixel will be next to a yellow pixel. But, if you look at them mathematically, they will be many units apart. They have causal linkage but not direct linkage. After randomizing the mathematical location of each pixel in the image without changing its relationship to itself, you can create another graph with the pixels at their mathematical location but not their physical location. Then you can ...
Read more

Calculus Counting

Ordinary numbers represent static objects. What would happen if you created a basic number system that was based on change? I've been thinking about this for a while. It would be interesting to have each number represent a vector. Let's work this in one dimension. "1" is the speed at which the number line is growing. So, the number Theta1  is one unit per cycle. The cycle can be arbitrarily set. Theta2 means two numbers per cycle. Et cetera et cetera. When you combine two changelings (what I'm calling this system for now), you basically stick a lever on the first changeling (it's a vector)
Read more