Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The incompleteness of an incompleteness argument   G\"odel's argument for the First Incompleteness Theorem is, structurally, a
proof by contradiction. This article intends to reframe the argument by, first,
isolating an additional assumption the argument relies on, and then, second,
arguing that the contradiction that emerges at the end should be redirected to
refute this initial assumption rather than the completeness of number theory

10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat