Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finitely Axiomatized Theories Lack Self-Comprehension   In this paper we prove that no consistent finitely axiomatized theory
one-dimensionally interprets its own extension with predicative comprehension.
This constitutes a result with the flavor of the Second Incompleteness Theorem
whose formulation is completely arithmetic-free. Probably the most important
novel feature that distinguishes our result from the previous results of this
kind is that it is applicable to arbitrary weak theories, rather than to
extensions of some base theory. The methods used in the proof of the main
result yield a new perspective on the notion of sequential theory, in the
setting of forcing-interpretations.

17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol