Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An exercise in "anhomomorphic logic"   A classical logic exhibits a threefold inner structure comprising an algebra
of propositions `A', a space of ``truth values'' `V', and a distinguished
family of mappings `phi' from propositions to truth values. Classically A is a
Boolean algebra, V=Z_2, and the admissible maps phi:A-->Z_2 are {\it
homomorphisms}. If one admits a larger set of maps, one obtains an
anhomomorphic logic that seems better suited to quantal reality (and the needs
of quantum gravity). I explain these ideas and illustrate them with three
simple examples.

22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin