[FRIAM] The fruits of abduction

[Roger Critchlow]

I was contrasting abductive reasoning to deductive and inductive reasoning,
something that has happened around here before.  The point was that one
could not deduce Born's rule from accepted premises, not induce it from
prior examples.  Though maybe it is an induction from prior experience with
photon wave functions.

This looks to be a nice presentation of the Bethe ansatz,
https://arxiv.org/pdf/cond-mat/9809162.pdf, which appears to be an inspired
selection of basis functions for solving a 1-d spin glass.  So, no, Born's
rule was not an ansatz, but Bethe's ansatz might be an abduction.

-- rec --




On Thu, Feb 14, 2019 at 11:21 AM Prof David West <profwest at fastmail.fm>
wrote:

> and, is an ansatz, more or less, a formalized metaphor?
>
> davew
>
> On Thu, Feb 14, 2019, at 8:40 AM, lrudolph at meganet.net wrote:
> > > The problem is that Born’s rule was not really more than a smart
> guess
> > > —
> > >> there was no fundamental reason that led Born to propose it. “It was
> > >> an
> > >> intuition without a precise justification,† said Adán Cabello
> > >> <https://personal.us.es/adan/home.htm>, a quantum theorist at the
> > >> University of Seville in Spain.
> >
> > Isn't that what an "Ansatz" is?  (A quick Googling suggests maybe not.
> > But it seems similar to me...)
> >
> >
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