{"id":{"repo_id":"uab","oai_identifier":"oai:digitalcommons.library.uab.edu:etd-collection-8048"},"canonical_url":"https://search.dev.ndltd.org/etd/uab/oai:digitalcommons.library.uab.edu:etd-collection-8048","repository":{"repo_id":"uab","name":"University of Alabama Birmingham","base_url":"https://digitalcommons.library.uab.edu/do/oai/"},"display":{"title":"A Proof That Every Set Can be Well-Ordered.","abstract":"The purpose of this paper is to show that the Well-Ordering Theorem is a consequence of the Axiom of Choice via the Moore-Zermelo Proposition. The work herein is completely my own and is not the result of suggestions made by any other person.","abstract_html":"The purpose of this paper is to show that the Well-Ordering Theorem is a consequence of the Axiom of Choice via the Moore-Zermelo Proposition. The work herein is completely my own and is not the result of suggestions made by any other person.","abstract_has_math":false,"creators":["Robillard, William Frederick"],"institution":null,"degree_name":null,"degree_level":"Thesis","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1973,"date_issued":"1973-01-01T08:00:00Z","date_published":"1973-01-01T08:00:00Z","updated_at":"2026-07-24T05:05:33Z","subjects":["Well-Ordering Theorem","Ordered triple","Proper subset","First element"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://digitalcommons.library.uab.edu/etd-collection/7056","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Robillard, William Frederick"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Well-Ordering Theorem","Ordered triple","Proper subset","First element"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://digitalcommons.library.uab.edu/etd-collection/7056"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The purpose of this paper is to show that the Well-Ordering Theorem is a consequence of the Axiom of Choice via the Moore-Zermelo Proposition. The work herein is completely my own and is not the result of suggestions made by any other person."]},{"key":"dc:title","label":"Title","values":["A Proof That Every Set Can be Well-Ordered."]}]}],"canonical_facts":{"dc:creator":["Robillard, William Frederick"],"dc:description.abstract":["The purpose of this paper is to show that the Well-Ordering Theorem is a consequence of the Axiom of Choice via the Moore-Zermelo Proposition. The work herein is completely my own and is not the result of suggestions made by any other person."],"dc:identifier":["https://digitalcommons.library.uab.edu/etd-collection/7056"],"dc:subject":["Well-Ordering Theorem","Ordered triple","Proper subset","First element"],"dc:title":["A Proof That Every Set Can be Well-Ordered."],"thesis:degree_level":["Thesis"]},"updated_at":"2026-07-24T05:05:33Z"}