On 12/28/2013 4:11 PM, Edgar L. Owen wrote:

Jason and John,If something is random it can't be computed by any deterministic process. That's themeaning.

`That's one possible meaning, although it can only strictly apply to infinite sets of`

`something. I think of "random" as just being an instance from a probabilistic set. Here's`

`what I wrote in another context recently:`

`Probability has several different meanings and philosophers argue over them as if one must`

`settle on the real meaning. But this is a mistake. Just like “cost” or “energy”,`

`“probability” is useful precisely because the same value has different interpretations.`

`There are four interpretations that commonly come up.`

`1.It has a mathematical definition that lets us manipulate it and draw inferences`

`(Kolmogorov).`

2.It has a physical interpretation as a symmetry (principle of insufficient reason).

`3.It quantifies a degree of belief that tells us whether to act on it (Bayesian decision`

`theory).`

4.It has an empirical meaning that lets us measure it (frequentist statistics).

`The usefulness of probability is that we can start with one of these, we can then`

`manipulate it mathematically, and then interpret the result in one of the other ways.`

Brent "Probability is never having to say you're certain."

However we have to be careful because there is another kind of non-computability due toeither not enough input data or computing power. The weather would be a combination ofrandomness and this type of non-coputability.Edgar

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