{"id":"https://openalex.org/W4288064058","doi":"https://doi.org/10.1007/978-3-031-05671-0_1","title":"Numbers","display_name":"Numbers","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4288064058","doi":"https://doi.org/10.1007/978-3-031-05671-0_1"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-05671-0_1","doi":"https://doi.org/10.1007/978-3-031-05671-0_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-05671-0_1","pdf_url":null,"source":{"id":"https://openalex.org/S4210201744","display_name":"Synthese Library/Synthese library","issn_l":"0166-6991","issn":["0166-6991","2542-8292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Synthese Library","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W4288078529","display_name":"Ernst Schro\u0308der on Algebra and Logic"},"type":"book-chapter","is_traditional":true,"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/A5084982479","display_name":"Stephen Pollard","orcid":"https://orcid.org/0000-0002-9028-1779","observed_orcids":["https://orcid.org/0000-0002-9028-1779"]},"institutions":[{"id":"https://openalex.org/I199639920","display_name":"Truman State University","ror":"https://ror.org/0396bvs97","country_code":"US","type":"education","lineage":["https://openalex.org/I199639920"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Stephen Pollard","raw_affiliation_strings":["Dept of Philosophy & Religion, Truman State University, Kirksville, MO, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept of Philosophy & Religion, Truman State University, Kirksville, MO, USA","institution_ids":["https://openalex.org/I199639920"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5084982479"],"corresponding_institution_ids":["https://openalex.org/I199639920"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"46"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/3304","display_name":"Education"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ernst-schroder","display_name":"Ernst Schr\u00f6der","score":0.9940000176429749},{"id":"https://openalex.org/keywords/nature-of-numbers","display_name":"nature of numbers","score":0.7680000066757202},{"id":"https://openalex.org/keywords/natural-numbers","display_name":"natural numbers","score":0.984000027179718},{"id":"https://openalex.org/keywords/bijections","display_name":"bijections","score":0.8659999966621399},{"id":"https://openalex.org/keywords/equality","display_name":"equality","score":0.48100000619888306},{"id":"https://openalex.org/keywords/inequality-mathematics","display_name":"inequality (mathematics)","score":0.996999979019165},{"id":"https://openalex.org/keywords/genus-and-species","display_name":"genus and species","score":0.6970000267028809},{"id":"https://openalex.org/keywords/history-of-logic","display_name":"history of logic","score":0.8149999976158142},{"id":"https://openalex.org/keywords/history-of-arithmetic","display_name":"history of arithmetic","score":0.6359999775886536},{"id":"https://openalex.org/keywords/history-of-algebra","display_name":"history of algebra","score":0.453000009059906}],"concepts":[{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.37260621786117554}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-05671-0_1","doi":"https://doi.org/10.1007/978-3-031-05671-0_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-05671-0_1","pdf_url":null,"source":{"id":"https://openalex.org/S4210201744","display_name":"Synthese Library/Synthese library","issn_l":"0166-6991","issn":["0166-6991","2542-8292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Synthese Library","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W176654167","https://openalex.org/W646707096","https://openalex.org/W655486485","https://openalex.org/W1538542356","https://openalex.org/W1972066744","https://openalex.org/W2156744629","https://openalex.org/W6992351921"],"related_works":["https://openalex.org/W2792023972","https://openalex.org/W4256022124","https://openalex.org/W611828038","https://openalex.org/W3111120196","https://openalex.org/W3042039260","https://openalex.org/W3113812008","https://openalex.org/W7097818939","https://openalex.org/W2747878908","https://openalex.org/W192543823","https://openalex.org/W4230387425"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2022-07-28T00:00:00"}