Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On some of Brouwer's axioms   We discuss the position of intuitionistic mathematics within the field of
constructive mathematics. We discuss some principles defended and used by
Brouwer but rejected by Bishop, like the Coninuity Principle, the Fan Theorem
and the Bar Theorem. We explain some of their consequences in the development
of constructive mathematics, like the Borel Hierarchy Theorem and the
Intuitionistic Ramsey Theorem. We go into the theory of measure and integration
as Bishop followed in this field a path different from Brouwer's.

14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph