Unless I remember wrong (which is possible), function application in a
Scott domain is not associative, e.g.

(f(g) ) (h)

is not in general equal to

f( g(h) )

However function composition is associative, and the standard products
on vectors in Hilbert space are associative

So it seems what you're doing may not be quite right, and you need to
be looking at some sort of fairly general nonassociative algebras over
Hilbert space instead ... or something...

Or am I misunderstanding something?



On Thu, Jan 28, 2021 at 6:53 AM YKY (Yan King Yin, 甄景贤)
<[email protected]> wrote:
> 
> Hey friends,
> 
> Long time no see.  This is my latest paper:
> https://drive.google.com/file/d/1AhQS3fp4WMFIDEhn_q4vNs-YJaq4Z-Fr/view?usp=sharing
> 
> I am also writing a tutorial on categorical logic / topos theory, a
> subject that took me >10 years to learn, and I hope to explain what I
> learned in a super easy to digest way.
> 
> Cheers =)
> YKY



-- 
Ben Goertzel, PhD
http://goertzel.org

“He not busy being born is busy dying" -- Bob Dylan

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