Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fundamental Dilemmas in Theoretical Physics   In this paper, we argue that there are foundational dilemmas in theoretical
physics related to the concept of reality and the nature of mathematics in
physics. Physical theory is treated as a conceptual organism which develops
under the weight of its internal contradictions. The paper discusses in depth
the problem of objective reality in physics and its relation to scientific
practice. Then, it explores the problematic relation between physical meaning
and mathematics in modern physical theory, followed by a discussion of the
trend of contemporary physics to replace physical principles with pure
mathematical principles. Finally, it discusses the problem of logical coherence
in modern physical theory. The paper emphasizes the importance of resolving
these dilemmas to the proper practice of theoretical physics.

23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol