Joy Christian wrote:Heinera wrote:FrediFizzx wrote:What more does one need to know other than it is mathematically impossible for anything to exceed the inequalities! You Bell fans always choke on that simple fact.

.

So, what inequality do you think applies to the CHSH urn experiment?

There is no such thing as a "CHSH urn experiment."

Moreover, Bell's so-called "theorem" is nothing but a statistical swindle.

Boole’s three correlation theorem is a swindle!? (Necessity and sufficiency of Bell’s three correlations inequalities). And Fine’s four correlations theorem? (Necessity and sufficiency of CHSH inequalities).

Of course there a CHSH urn experiment. Put eight slips of paper in an urn. Pick one at random. Toss two fair coins. The coins determine Alice and Bob’s setting 1 or setting 2. Call them a and b.

Each slip of paper has four numbers +/-1 written on it. Call them: x1, x2, y1, y2. Report outcomes: xa, yb.

Return slip of paper to urn, repeat…

This thought experiment can be performed in a classroom. It can be simulated on a computer. It can be studied mathematically using standard tools from probability theory and mathematical statistics.

Here are the eight slips of paper, using “0” and “1” to stand for “-1” and “+1” respectively:

"0000"

"0100"

"0110"

"1110"

"0001"

"1001"

"1011"

"1111"

Of course, you can fill the urn in other ways; and you can choose settings using biased coins or even correlated coins, if you like. The special “eight slip” urn I mentioned will give three correlations of +0.5 and one of -0.5, so a value of “S” of 2. In the limit of large N.