The virtue of simplicity

Edward Nelson ()
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Edward Nelson: Princeton University, Department of Mathematics

Chapter 2 in The Strength of Nonstandard Analysis, 2007, pp 27-32 from Springer

Abstract: Abstract It is known that IST (internal set theory) is a conservative extension of ZFC (Zermelo-Fraenkel set theory with the axiom of choice); see for example the appendix to [2] for a proof using ultrapowers and ultralimits. But these semantic constructions leave one wondering what actually makes the theory work—what are the inner mechanisms of Abraham Robinson’s new logic. Let us examine the question syntactically.

Date: 2007
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DOI: 10.1007/978-3-211-49905-4_2

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