Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probabilistic squares and hexagons of opposition under coherence   Various semantics for studying the square of opposition and the hexagon of
opposition have been proposed recently. We interpret sentences by imprecise
(set-valued) probability assessments on a finite sequence of conditional
events. We introduce the acceptability of a sentence within coherence-based
probability theory. We analyze the relations of the square and of the hexagon
in terms of acceptability. Then, we show how to construct probabilistic
versions of the square and of the hexagon of opposition by forming suitable
tripartitions of the set of all coherent assessments. Finally, as an
application, we present new versions of the square and of the hexagon involving
generalized quantifiers.

26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin