## Notre Dame Journal of Formal Logic

### An Intensional Schrödinger Logic

#### Abstract

We investigate the higher-order modal logic $S_{\omega}I$, which is a variant of the system $S_{\omega}$ presented in our previous work. A semantics for that system, founded on the theory of quasi sets, is outlined. We show how such a semantics, motivated by the very intuitive base of Schrödinger logics, provides an alternative way to formalize some intensional concepts and features which have been used in recent discussions on the logical foundations of quantum mechanics; for example, that some terms like 'electron' have no precise reference and that 'identical' particles cannot be named unambiguously. In the last section, we sketch a classical semantics for quasi set theory.

#### Article information

Source
Notre Dame J. Formal Logic, Volume 38, Number 2 (1997), 179-194.

Dates
First available in Project Euclid: 12 December 2002

https://projecteuclid.org/euclid.ndjfl/1039724886

Digital Object Identifier
doi:10.1305/ndjfl/1039724886

Mathematical Reviews number (MathSciNet)
MR1489409

Zentralblatt MATH identifier
0901.03024

#### Citation

da Costa, Newton C. A.; Krause, Décio. An Intensional Schrödinger Logic. Notre Dame J. Formal Logic 38 (1997), no. 2, 179--194. doi:10.1305/ndjfl/1039724886. https://projecteuclid.org/euclid.ndjfl/1039724886

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