I could literally write out a list of formulas that implement any algorithm and directly run them. Are you saying that these mathematical formulas do not infringe patents? Are you saying that patent law requires a selling a physical machine with this on them to fall under the definition? Either way, this is fucking bullshit. To allow the patenting of mathematics (or the set of all system that happens to utilize specific mathematics) is idiotic and counterproductive. All it does is take time and money away from the people that do and gives it to the people that sue. It disregards all the freely available prerequisite knowledge (the giants whose shoulders we all stand on), and packages up these incremental steps for pure, exclusive greed.

Implementation issues in the written world are more than sufficiently covered by copyright law. I have yet to see a single example of patents being a positive force in this industry.