David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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History and Philosophy of Logic 14 (1):67-86 (1993)
Because of its capacity to characterize mathematical concepts and structures?a capacity which first-order languages clearly lack?second-order languages recommend themselves as a convenient framework for much of mathematics, including set theory. This paper is about the credentials of second-order logic:the reasons for it to be considered logic, its relations with set theory, and especially the efficacy with which it performs its role of the underlying logic of set theory
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References found in this work BETA
George Boolos, John Burgess, Richard P. & C. Jeffrey (2007). Computability and Logic. Cambridge University Press.
Alonzo Church (1956). Introduction to Mathematical Logic. Princeton, Princeton University Press.
Alonzo Church (1944). Introduction to Mathematical Logic. London, H. Milford, Oxford University Press.
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Citations of this work BETA
Timothy Williamson (2013). Logic, Metalogic and Neutrality. Erkenntnis:1-21.
Stewart Shapiro (2005). Sets and Abstracts – Discussion. [REVIEW] Philosophical Studies 122 (3):315 - 332.
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