And this silo, where even extensively trained mathematicians of other fields can barely understand each other is a large part of the problem. This is not aimed

And this silo, where even extensively trained mathematicians of other fields can barely understand each other is a large part of the problem. This is not aimed at you but a general problem. It is a real bottleneck. An inefficient use of resources resulting in inconsistent use and re-appropriation of notation, making each field have its own dialect and general slowing of the field. People keep rediscovering the same things in their fields that the other knew decades ago. Alot of data, much less information. The kind of progress where an engineer or scientist takes what they need from that obviously useless piece of mathematics becomes harder and harder as the silos get deeper. But things are getting better. Stuff like mathoverflow, blogs by researchers, polymath are really helping bridge those gaps. Thats why these days people are really starting to see all this stuff that we thought unrelated are actually just different aspects of the same thing. I especially like whats going on with category theory, information theory, information geometry, entropy and bayesianism. Together they leave no subject untouched. Not one.