{"id":"https://openalex.org/W2800139989","doi":"https://doi.org/10.1007/s10485-018-9524-4","title":"Infinitary Addition, Real Numbers, and Taut Monads","display_name":"Infinitary Addition, Real Numbers, and Taut Monads","publication_year":2018,"publication_date":"2018-04-18","ids":{"openalex":"https://openalex.org/W2800139989","doi":"https://doi.org/10.1007/s10485-018-9524-4","mag":"2800139989"},"language":"en","primary_location":{"id":"doi:10.1007/s10485-018-9524-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-018-9524-4","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082120884","display_name":"George Janelidze","orcid":"https://orcid.org/0000-0002-2083-063X"},"institutions":[{"id":"https://openalex.org/I157614274","display_name":"University of Cape Town","ror":"https://ror.org/03p74gp79","country_code":"ZA","type":"education","lineage":["https://openalex.org/I157614274"]}],"countries":["ZA"],"is_corresponding":true,"raw_author_name":"George Janelidze","raw_affiliation_strings":["Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch, 7701, South Africa"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch, 7701, South Africa","institution_ids":["https://openalex.org/I157614274"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090645465","display_name":"Ross Street","orcid":"https://orcid.org/0000-0003-2548-3005"},"institutions":[{"id":"https://openalex.org/I99043593","display_name":"Macquarie University","ror":"https://ror.org/01sf06y89","country_code":"AU","type":"education","lineage":["https://openalex.org/I99043593"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Ross Street","raw_affiliation_strings":["Mathematics Department, Macquarie University, Sydney, NSW, 2109, Australia"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, Macquarie University, Sydney, NSW, 2109, Australia","institution_ids":["https://openalex.org/I99043593"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082120884"],"corresponding_institution_ids":["https://openalex.org/I157614274"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04219587,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"26","issue":"5","first_page":"1047","last_page":"1064"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monad","display_name":"Monad (category theory)","score":0.8885324001312256},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6851032376289368},{"id":"https://openalex.org/keywords/real-number","display_name":"Real number","score":0.5357194542884827},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.47380465269088745},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4393012225627899},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42754772305488586},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41624897718429565},{"id":"https://openalex.org/keywords/category-theory","display_name":"Category theory","score":0.41290533542633057},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.36156463623046875},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.3033747375011444}],"concepts":[{"id":"https://openalex.org/C33959348","wikidata":"https://www.wikidata.org/wiki/Q1630568","display_name":"Monad (category theory)","level":3,"score":0.8885324001312256},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6851032376289368},{"id":"https://openalex.org/C94020503","wikidata":"https://www.wikidata.org/wiki/Q12916","display_name":"Real number","level":2,"score":0.5357194542884827},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.47380465269088745},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4393012225627899},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42754772305488586},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41624897718429565},{"id":"https://openalex.org/C54884031","wikidata":"https://www.wikidata.org/wiki/Q217413","display_name":"Category theory","level":2,"score":0.41290533542633057},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.36156463623046875},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.3033747375011444},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10485-018-9524-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-018-9524-4","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2001462012","https://openalex.org/W2030321549","https://openalex.org/W2034067804","https://openalex.org/W2073028751","https://openalex.org/W2081896452","https://openalex.org/W2092057407","https://openalex.org/W2131478756","https://openalex.org/W3020900280","https://openalex.org/W3037379930","https://openalex.org/W4240105968"],"related_works":["https://openalex.org/W4300258627","https://openalex.org/W2738383450","https://openalex.org/W2467819319","https://openalex.org/W4287663723","https://openalex.org/W2071463650","https://openalex.org/W3087126312","https://openalex.org/W4286849957","https://openalex.org/W3215427587","https://openalex.org/W3122394275","https://openalex.org/W2798880019"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
