Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Goedel's Incompleteness Theorem   I present the proof of Goedel's First Incompleteness theorem in an intuitive
manner, while covering all technically challenging steps. I present
generalizations of Goedel's fixed point lemma to two-sentence and
multi-sentence versions, which allow proof of incompleteness through circular
versions of the liar's paradox. I discuss the relation of Goedel's First and
Second Incompletneness theorems to Goedel's Completeness theorems, and conclude
with remarks on implications of these results for mathematics, computation,
theory of mind and AI.

30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg