Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rethinking the notion of oracle: A link between synthetic descriptive
  set theory and effective topos theory   We present three different perspectives of oracle. First, an oracle is a
blackbox; second, an oracle is an endofunctor on the category of represented
spaces; and third, an oracle is an operation on the object of truth-values.
These three perspectives create a link between the three fields, computability
theory, synthetic descriptive set theory, and effective topos theory.

3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat