2017/04/02 by Sam Sanders, Sanders, Sam
Computer Science · Mathematics · Psychology · #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO) #Mathematical and Theoretical Analysis #Philosophy and Theoretical Science
paper · pdf · doi:10.48550/arxiv.1704.00281
openalex publication_date 2017/04/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Almost two decades ago, Wattenberg published a paper with the title 'Nonstandard Analysis and Constructivism?' in which he speculates on a possible connection between Nonstandard Analysis and constructive mathematics. We study Wattenberg's work in light of recent research on the aforementioned connection. On one hand, with only slight modification, some of Wattenberg's theorems in Nonstandard Analysis are seen to yield effective and constructive theorems (not involving Nonstandard Analysis). On the other hand, we establish the incorrectness of some of Wattenberg's (explicit and implicit) claims regarding the constructive status of the axioms Transfer and Standard Part of Nonstandard Analysis.