Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A critical study on the concept of identity in Zermelo-Fraenkel-like
  axioms   According to Cantor, a set is a collection into a whole of defined and
separate (we shall say distinct) objects. So, a natural question is ``How to
treat as `sets' collections of indistinguishable objects?". This is the aim of
quasi-set theory, and this problem was posed as the first of present day
mathematics, in the list resulting from the Congress on the Hilbert Problems in
1974. Despite this pure mathematical motivation, quasi-sets have also a strong
commitment to the way quantum physics copes with elementary particles. In this
paper, we discuss the axiomatics of quasi-set theory and sketch some of its
applications in physics. We also show that quasi-set theory allows us a better
and deeper understanding of the role of the concept of equality in mathematics.

21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs