Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Beyond Uncountable   In 1891 Cantor presented two proofs with the purpose to establish a general
theorem that any set can be replaced by a set of greater power. Cantor's power
set theorem can be considered to be an extension of Cantor's 1891 second proof
and its argument makes use of a well-known self-referring statement. In this
article it is shown that, defining the relative complement of the
self-referring statement, Cantor's power set theorem cannot be derived.
Moreover, it is given a refutation of the first proof, the so-called Cantor's
diagonal argument.

14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con