Re: probability vs. statistics (was Re: Model of induction)

Posted by gepr on
URL: http://friam.383.s1.nabble.com/Model-of-induction-tp7588431p7588476.html


Well, sure.  But the point is that the axiom of choice asserts, merely, the existence of the ability to choose a subset.  They call them "choice functions", as if there exists some "chooser".  But there's no sense of time (before the choice function is applied versus after it's applied).  The name "choice" is a misleading misnomer.

And that's my point.  Probability theory is a special case of measure theory.  Calling the set measures "probabilities" is an antiquated, misleading, and unfortunate name.

On 12/14/2016 01:41 PM, Frank Wimberly wrote:
> Don't think about choosing.  The axiom of choice says that there is a function from each set (subset) to an element of itself, as I recall.

--
☣ glen

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