Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two philosophical applications of algorithmic information theory   Two philosophical applications of the concept of program-size complexity are
discussed. First, we consider the light program-size complexity sheds on
whether mathematics is invented or discovered, i.e., is empirical or is a
priori. Second, we propose that the notion of algorithmic independence sheds
light on the question of being and how the world of our experience can be
partitioned into separate entities.

10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th