Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards a necessary change in the mathematical principles of natural
  philosophy   Being mathematics a natural language to Mankind and to physics, it must be
constantly adapted to our necessities and our natural perception. Then,
mathematical concepts are not absolute to reality. Although mathematical
theories are constructions of our mind, and the existence of objects in such
theories is a matter of consistency or coherence of the theory (this allows us
to study them independently of other theories), in physics its not enough that
mathematical structures are coherent or consistent, these must have a much more
tangible reference to reality. Therefore any mathematical model not necessarily
is appropriate in physics. So, what sense has the concept of a point in
physics, that elementary notion used to represent the objects of the reality.
  If we consider that in a good model of reality, the existence of a
mathematical object with a physical reference must be equivalent to the
possibility of its construction, perception and verification of physical
existence, where the refutaction of the non-existence of an object does not
necessarily mean that it is possible to find a test of its existence. Then, one
obtains that the mathematical language becomes richer in structures, where the
point concept is replaced by more intuitive and perceivable concepts. On the
one hand, this possibly can lead us to a physics without infinites, and without
paradoxes, on the other hand, one restricts the use of mathematics and the use
of mental experiments in physics.

11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys