Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Physics and mathematical reality: comments on Aharonov et al,
  arXiv:1902.08798   Do we have two kinds of reality: physical and mathematical? What is the role
of mathematics in physics? These fundamental questions have intrigued original
and brilliant minds since ancient times. A recent article (Aharonov, Cohen and
Oaknin, arXiv:1902.08798) offers a viewpoint on the use of abstract mathematics
in quantum theory. They argue that, in some cases, it may result into a paradox
focusing on an example in quantum mechanics regarding
Aharonov-Bergmann-Lebowitz (ABL) rule. In this comment we discuss three issues:
theory reduction and approximation, origin of a paradox, and the reality of
time. It is pointed out that paradoxes appear even in mathematics; we explain
them as the results of the acceptance of pure logical artifacts. In physics
too, the impact of the so called quantum and relativity revolutions, have led
to the emergence of counter-intuitive and mysterious notion of the physical
reality. The most fundamental change has been on rejecting the reality of time.
A radically new perspective that physics is the language of mathematics is
suggested. The mathematical reality of the natural numbers manifests in the
form of physical time.

31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys