Journal for General Philosophy of Science

, Volume 43, Issue 2, pp 215–222

Are the Laws of Quantum Logic Laws of Nature?

Article

DOI: 10.1007/s10838-012-9195-z

Cite this article as:
Mittelstaedt, P. J Gen Philos Sci (2012) 43: 215. doi:10.1007/s10838-012-9195-z
  • 331 Downloads

Abstract

The main goal of quantum logic is the bottom-up reconstruction of quantum mechanics in Hilbert space. Here we discuss the question whether quantum logic is an empirical structure or a priori valid. There are good reasons for both possibilities. First, with respect to the possibility of a rational reconstruction of quantum mechanics, quantum logic follows a priori from quantum ontology and can thus not be considered as a law of nature. Second, since quantum logic allows for a reconstruction of quantum mechanics, self-referential consistency requires that the empirical content of quantum mechanics must be compatible with the presupposed quantum ontology. Hence, quantum ontology contains empirical components that are also contained in quantum logic. Consequently, in this sense quantum logic is also a law of nature.

Keywords

Bottom-up reconstruction Quantum logic Quantum ontology Self-consistency 

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Institut für Theoretische PhysikUniversität zu KölnCologneGermany