Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bell's inequality: Physics meets Probability   We remind the viewpoint that violation of Bell's inequality might be
interpreted not only as an evidence of the alternative -- either nonlocality or
``death of reality'' (under the assumption the quantum mechanics is
incomplete). Violation of Bell's type inequalities is a well known sufficient
condition of incompatibility of random variables -- impossibility to realize
them on a single probability space. Thus, in fact, we should take into account
an additional interpretation of violation of Bell's inequality -- a few pairs
of random variables (two dimensional vector variables) involved in the EPR-Bohm
experiment are incompatible. They could not be realized on a single Kolmogorov
probability space. Thus one can choose between: a) completeness of quantum
mechanics; b) nonlocality; c) `` death of reality''; d) non-Kolmogorovness. In
any event, violation of Bell's inequality has a variety of possible
interpretations. Hence, it could not be used to derive the unique conclusion on
the relation between quantum and classical models.

25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an