Constructive aspects of models for non-standard analysis
Nordvall Forsberg, Fredrik (2009) Constructive aspects of models for non-standard analysis. Masters thesis, Uppsala University.
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Reduced products are generalizations of ultraproducts where the filter used need not be an ultrafilter. With a suitable choice of filter, we can then get a more constructive model of non-standard analysis. We study properties of such reduced products and investigate what classical results are still valid in a constructive setting. A boundedness principle BD , not derivable in pure constructive math- emetics BISH , is also studied. We show that certain theorems in classical mathematics related to reduced prdoucts or non-standard analysis are equiv- alent to or imply BD or LLPO , and thus not constructively provable
ORCID iDs
Nordvall Forsberg, Fredrik ORCID: https://orcid.org/0000-0001-6157-9288;-
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Item type: Thesis(Masters) ID code: 53291 Dates: DateEvent2009PublishedKeywords: ultraproducts, non standard analysis, constructive mathematics, Mathematics, Logic Subjects: Science > Mathematics Department: Faculty of Science > Computer and Information Sciences Depositing user: Pure Administrator Date deposited: 05 Jun 2015 09:55 Last modified: 18 Jan 2023 12:03 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/53291