Towards a Modal Logical Treatment of Quantum Physics

Logic Journal of the IGPL 13 (1):139-147 (2005)
  Copy   BIBTEX

Abstract

The question of which is the logic that underlies quantum physics does not have an absolute answer, but only in relation to a conventional choice of interpretation . Most of the interpretations that have been offered work within the framework of classical logic. In contrast to these, we examine the corpuscular interpretation which is assumed in the application of non-distributive logic . The experiment in which single photons pass through a Mach-Zehnder interferometer is examined, indicating the difficulty of employing a realist corpuscular interpretation in this context. One way to save this interpretation would be to use non-distributive logic to analyze the experiment, but this is not satisfactory . However, the use of an alethic modal logic solves the problem, blocking the argument that put the aforementioned corpuscular interpretation into difficulty. In the discussion of the conceptual problems involved, we suggest that a stochastic corpuscular interpretation is well adapted to this logical description. The project of extending this modal logical approach to other experiments in quantum physics, and of providing a rigorous logical treatment, is left open

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,752

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Modal semantics, modal dynamics and the problem of state preparation.Laura Ruetsche - 2003 - International Studies in the Philosophy of Science 17 (1):25 – 41.
Quantum logic is alive ∧ (it is true ∨ it is false).Michael Dickson - 2001 - Proceedings of the Philosophy of Science Association 2001 (3):S274 - S287.
Extended quantum logic.Kenji Tokuo - 2003 - Journal of Philosophical Logic 32 (5):549-563.
Quantum Logic and the Interpretation of Quantum Mechanics.R. I. G. Hughes - 1980 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1980:55 - 67.
A Logical Choice.Tracy Lupher - 2012 - Southwest Philosophy Review 28 (1):237-246.

Analytics

Added to PP
2015-02-04

Downloads
19 (#796,059)

6 months
4 (#778,909)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Modal translation of substructural logics.Chrysafis Hartonas - 2020 - Journal of Applied Non-Classical Logics 30 (1):16-49.

Add more citations

References found in this work

No references found.

Add more references