Second-order non-nonstandard analysis

Studia Logica 74 (3):399 - 426 (2003)
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Abstract

Following [3], we build higher-order models of analysis resembling the frameworks of nonstandard analysis. The models are entirely canonical, constructed without Choice. Weak transfer principles are developed and the models are applied to topology, graph theory, and measure theory. A Loeb-like measure is constructed.

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