Since I need to add more to satisfy the /. posting god, my point is that
1) paper is portable and readable in all circumstances. I don't need to fire up a reader, connect to wifi, turn on laptop, whatever: here's your piece of paper, read it.
2) paper is durable and fixed-format: if I put a paper in a file and come back 10 or even 100 years later, barring catastrophe, it'll still be there. The vagaries of non-cloud storage, and (for the cloud) the evolution of estorage and edoc formats means that even if I HAVE the file, i might not be able to read/open it. Shit, I have enough trouble opening now 25 year old docs from my college days plunking on a MacSE.
3) it's harder to edit paper: simply put, edocs are easier to fake, generally.
There are a host of things that paper isn't: searchable, stored effortlessly taking no space, easily (instantly) sent to someone else not present, backed up in case of loss, there are probably a ton of others. But the fact is that for what paper does, and what's important in a business/legal context, it's pretty irreplaceable.
1) This is really only an issue if you're out of range of WiFi and Cellular. Who turns off their computer anyway?
2) That's great for documents that are relevant a year after they were printed, but most documents probably become irrelevant within days of being printed.
3) That's a minus for most documents and use cases.
I think the main reason why paper is still widely used is that UI:s aren't good enough, software and hardware.
The one thing I still need paper for on a daily basis is for scribbling out throwaway notes, diagrams, drawings, etc. Maybe an iPad Pro or a Surface 4 pro could do the job hardware wise, but I doubt that the software is good enough yet.