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B. Woltzenlogel-Paleo:
"Physics and Proof Theory";
Applied Mathematics and Computation, 0096-3003 (2011).

Axiomatization of Physics (and science in general) has many drawbacks that are correctly criticized by opposing philosophical views of science. This paper shows that, by giving formal proofs a more prominent role in the formalization, many of the drawbacks can be solved and many of the opposing views are naturally conciliated. Moreover, this approach allows, by means of proof theory, to open new conceptual bridges between the disciplines of Physics and Computer Science.

Axiomatization of Physics (and science in general) has many drawbacks that are correctly criticized by opposing philosophical views of science. This paper shows that, by giving formal proofs a more prominent role in the formalization, many of the drawbacks can be solved and many of the opposing views are naturally conciliated. Moreover, this approach allows, by means of proof theory, to open new conceptual bridges between the disciplines of Physics and Computer Science.

Physics, Proof Theory, Axiomatization, Foundations

http://dx.doi.org/10.1016/j.amc.2011.06.058

http://publik.tuwien.ac.at/files/PubDat_202147.pdf