Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The solution of the Sixth Hilbert Problem: the Ultimate Galilean
  Revolution   I argue for a full mathematisation of the physical theory, including its
axioms, which must contain no physical primitives. In provocative words:
"physics from no physics". Although this may seem an oxymoron, it is the royal
road to keep complete logical coherence, hence falsifiability of the theory.
For such a purely mathematical theory the physical connotation must pertain
only the interpretation of the mathematics, ranging from the axioms to the
final theorems. On the contrary, the postulates of the two current major
physical theories either don't have physical interpretation (as for von
Neumann's axioms for quantum theory), or contain physical primitives as
"clock", "rigid rod ", "force", "inertial mass" (as for special relativity and
mechanics). A purely mathematical theory as proposed here, though with limited
(but relentlessly growing) domain of applicability, will have the eternal
validity of mathematical truth. It will be a theory on which natural sciences
can firmly rely. Such kind of theory is what I consider to be the solution of
the Sixth Hilbert's Problem. I argue that a prototype example of such a
mathematical theory is provided by the novel algorithmic paradigm for physics,
as in the recent information-theoretical derivation of quantum theory and free
quantum field theory.

22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics