Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the history of analysis. The formation of definitions   The mathematical analysis was conceived in XVII century in Newton and Leibniz
works. The problem of logical rigor in definitions was considered by Arnauld
and Nicole in "Logique ou l'art de penser". They were the first, who
distinguished between the volume of the concept and its structure. They created
a tradition which was strong in math till XIX century, especially in France.
The definitions were in binomial nomenclature mostly, but another type of
definition appears in Cantor theory - it was the descriptive definition. As it
used to be in human sciences, first the object had only one characteristic,
then as the research continued it enriched with new characteristics so we have
full-fledged conception. In this way the mathematics acquired its own
creativity. In 1915 Lusin laid down a new principle of the descriptive theory:
a structural characteristic is done, the analytical form had to be found. New
schools of descriptive set theory appeared in Moscow in the first half of the
20th century.

21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg