While reading about Neuroscience, Biology, Bio-inspired Artificial Intelligence and Evolutionary Robotics, I was struck by the fact that it seems like in each of these fields, mathematics is stretched to the point that it is no longer useful to model system complexity. It instead gets in the way of simple and elegant explanations about emergence and models that might be able to link different levels of complexity within a system.

I was wondering about the need for a new mathematics, or whatever you want to call it. I have just found a paper (with a very captivating title) about exactly these points :-)

Mathematics Is Biology's Next Microscope, Only Better; Biology Is Mathematics' Next Physics, Only Better