{ "id": "2311.12459", "version": "v1", "published": "2023-11-21T09:14:19.000Z", "updated": "2023-11-21T09:14:19.000Z", "title": "An ordinal analysis of $Π_{N}$-Collection", "authors": [ "Toshiyasu Arai" ], "categories": [ "math.LO" ], "abstract": "In this paper we give an ordinal analysis of a set theory with $\\Pi_{N}$-Collection.", "revisions": [ { "version": "v1", "updated": "2023-11-21T09:14:19.000Z" } ], "analyses": { "subjects": [ "03F99" ], "keywords": [ "ordinal analysis", "collection" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }