> Copyrights are supposed to be issued for intangible ideas.
No. They are supposed to be issued for original creative works. And NEVER for ideas. That's why Avatar doesn't infringe Pocahontas, even if both movies tell the same story. But the work doesn't have to be intangible at all. Statues and other three-dimensional constructs absolutely qualify.
On the other hand, patents are ALSO NOT SUPPOSED to cover ideas. Only implementations of original innovations. That's why one-click-shopping, slide-to-unlock and other drivel are NOT PATENTABLE. ... Well, according to patent law, that is, but the patent offices are huge law-breakers. And of course, since mathematics are not patentable either, software is not patentable anyway. But as said, patent offices break patent law on an industrial scale.
All it would take to get rid of the whole mess of business-method and software patents would be to enforce the law.