Re: Did prime numbers evolve?

n Apr 14, 1:17 pm, dkomo <dkomo...@xxxxxxxxxxx> wrote:
Guy A Hoelzer wrote:
dkomo,

Had I asked the question "Did Hilbert spaces evolve?" I would have
gotten far fewer people arguing that Hilbert spaces have an independent
existence outside human minds. Hilbert spaces are infinite dimensional
vector spaces where the vectors are functions, but Hilbert spaces are
the underlying mathematical foundation for quantum mechanics, and
quantum mechanics certainly deals with the physical world. Moreover,
there is a continuum of mathematical ideas starting with integers and
prime numbers, and leading to abstractions like Hilbert spaces. I'd say
this progression is part of the general process of evolution. How is it
possible to put a dividing line between prime numbers and Hilbert spaces
and say prime numbers exist in the real world, but Hilbert spaces don't?

How is it possible to present without proof the idea that Hilbert
spaces don't exist, then claim without proof that fewer people claim
Hilbert spaces exist, and then ask how it was possible for most people
to believe Hilbert spaces and not prime numbers exist?
The logical contradictions are yours, not mine.

.

Relevant Pages

  • Re: Did prime numbers evolve?
    ... gotten far fewer people arguing that Hilbert spaces have an independent ... vector spaces where the vectors are functions, ... Hilbert spaces have an independent existence outside human minds." ...
    (sci.bio.evolution)
  • Re: Hilbert spaces and quantum mechanics
    ... > even rigged Hilbert spaces as the requisite spaces for all of the ... With rigged Hilbert spaces the mathematics is ... Are there any quantum problems ... Mathematical surprises and Dirac s formalism in quantum mechanics ...
    (sci.physics.research)
  • Re: separable Hilbert space
    ... > David Macmanus wrote: ... > Hilbert spaces are not needed for standard quantum mechanics. ... I was going to suggest the states of a free particle. ...
    (sci.physics)
  • Re: separable Hilbert space
    ... David Macmanus wrote: ... >> countable basis. ... Hilbert spaces are not needed for standard quantum mechanics. ...
    (sci.physics)
  • Re: Hilbert spaces and quantum mechanics
    ... > In quantum mechanics it is customary to talk about Hilbert spaces ... ... success with that approach. ... This is the physical development picture. ...
    (sci.physics.research)
Loading