Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Intuitively Complete Analysis of Godel's Incompleteness   A detailed and rigorous analysis of G\"odel's proof of his first
incompleteness theorem is presented. The purpose of this analysis is two-fold.
The first is to reveal what G\"odel actually proved to provide a clear and
solid foundation upon which to base future research. The second is to construct
a coherent explication of G\"odel's proof that is not only approachable by the
non-specialist, but also brings to light the core principles underlying
G\"odel's proof.

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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph