Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remarks on an attempted axiomatisation of Quantum Mechanics, due to
  Lucien Hardy, and Ten Theses on Hilbert's Sixth Problem and Quantum
  Measurement   From the standpoint of Hilbert's Sixth Problem, which is the axiomatisation
of Physics, the famous paper of Lucien Hardy's, Quantum Theory from Five
Reasonable Axioms, is not relevant. The present paper argues that Hardy does
not give a physical definition of `limit', and if we assume the usual
mathematical definition of limit of a sequence, he fails to define a sequence
in physical terms to which the usual definition is applicable. We argue that
one should not, in fact, try to define probability in terms of the usual notion
of limit of a sequence of results of a measurement because of seemingly
insurmountable difficulties in axiomatising the notion of function or sequence
in this context. Von Plato's and the authour's work (see
http:arxiv.org/abs/quant-ph/0502124 and
euclid.unh.edu/~jjohnson/axiomatics.html for larger context and further
references) on the definition of physical probability needs to be used in this
context. We conclude with ten theses on quantum measurement, from the
standpoint of the Hilbert problem.

7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas