Re: The confession of John von Neumann

[EMAIL PROTECTED] wrote in message news:<[EMAIL PROTECTED]>...
 
> The first one starts with the states given by a Hilbert space, and the
 
> The second model starts with observables, given by elements in a C*-algebra,
 
> The third model, suggested in 1936 in collaboration with George David
> Birkhoff, is only concerned with the logical structure of the observables.
 
> What is hardly known nowadays is that, in a letter to George David Birkhoff,
> von Neumann wrote :

> "I WOULD LIKE TO MAKE A CONFESSION WHICH MAY SEEM IMMORAL : I DO NOT BELIEVE  IN 
> HILBERT SPACE ANYMORE."

 It is simply a justification for the second and third models, and
specially for the latter. The theory of locic lattices was a lot
more general than Hilbert spaces.

Alejandro