Notre Dame Journal of Formal Logic

Toward a Theory of Second-Order Consequence

Augustín Rayo and Gabriel Uzquiano

Abstract

We develop an account of logical consequence for the second-order language of set theory in the spirit of Boolos's plural interpretation of monadic second-order logic.

Article information

Source
Notre Dame J. Formal Logic, Volume 40, Number 3 (1999), 315-325.

Dates
First available in Project Euclid: 28 May 2002

Permanent link to this document
https://projecteuclid.org/euclid.ndjfl/1022615612

Digital Object Identifier
doi:10.1305/ndjfl/1022615612

Mathematical Reviews number (MathSciNet)
MR1845629

Zentralblatt MATH identifier
1007.03044

Subjects
Primary: 03C85: Second- and higher-order model theory
Secondary: 03A05: Philosophical and critical {For philosophy of mathematics, see also 00A30} 03B15: Higher-order logic and type theory

Citation

Rayo, Augustín; Uzquiano, Gabriel. Toward a Theory of Second-Order Consequence. Notre Dame J. Formal Logic 40 (1999), no. 3, 315--325. doi:10.1305/ndjfl/1022615612. https://projecteuclid.org/euclid.ndjfl/1022615612


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References

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