{"id":"https://openalex.org/W2084858937","doi":"https://doi.org/10.1007/s001530050149","title":"The continuum as a formal space","display_name":"The continuum as a formal space","publication_year":1999,"publication_date":"1999-10-01","ids":{"openalex":"https://openalex.org/W2084858937","doi":"https://doi.org/10.1007/s001530050149","mag":"2084858937"},"language":"en","primary_location":{"id":"doi:10.1007/s001530050149","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001530050149","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"Archive for Mathematical Logic","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/A5051669490","display_name":"Sara Negri","orcid":"https://orcid.org/0000-0003-3958-6312"},"institutions":[{"id":"https://openalex.org/I133731052","display_name":"University of Helsinki","ror":"https://ror.org/040af2s02","country_code":"FI","type":"education","lineage":["https://openalex.org/I133731052"]},{"id":"https://openalex.org/I2800229700","display_name":"Helsinki Institute of Physics","ror":"https://ror.org/01x2x1522","country_code":"FI","type":"facility","lineage":["https://openalex.org/I133731052","https://openalex.org/I2800229700","https://openalex.org/I63548447","https://openalex.org/I94722563","https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Sara Negri","raw_affiliation_strings":["Department of Philosophy, P.O. Box 24 (Unioninkatu 40), 00014 University of Helsinki, Helsinki, Finland. e-mail: negri@helsinki.fi\n, , , , , , FI","Department of Philosophy, P.O. Box 24 (Unioninkatu 40), 00014 University of Helsinki, Helsinki, Finland. e-mail: negri@helsinki.fi#N#, , FI"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Philosophy, P.O. Box 24 (Unioninkatu 40), 00014 University of Helsinki, Helsinki, Finland. e-mail: negri@helsinki.fi\n, , , , , , FI","institution_ids":["https://openalex.org/I2800229700","https://openalex.org/I133731052"]},{"raw_affiliation_string":"Department of Philosophy, P.O. Box 24 (Unioninkatu 40), 00014 University of Helsinki, Helsinki, Finland. e-mail: negri@helsinki.fi#N#, , FI","institution_ids":["https://openalex.org/I133731052"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091611098","display_name":"Daniele Soravia","orcid":null},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]},{"id":"https://openalex.org/I4210157811","display_name":"Centro di Ricerca in Matematica Pura ed Applicata","ror":"https://ror.org/04fv5g904","country_code":"IT","type":"nonprofit","lineage":["https://openalex.org/I4210157811"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Daniele Soravia","raw_affiliation_strings":["Dipartimento di Matematica Pura ed Applicata, Via Belzoni 7, I-35131 Padova, Italy. e-mail: srvdnl18@stud10.math.unipd.it\n, , , , , , IT","Dipartimento di Matematica Pura ed Applicata, Via Belzoni 7, I-35131 Padova, Italy. e-mail: srvdnl18@stud10.math.unipd.it#N#, , IT"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica Pura ed Applicata, Via Belzoni 7, I-35131 Padova, Italy. e-mail: srvdnl18@stud10.math.unipd.it\n, , , , , , IT","institution_ids":["https://openalex.org/I4210157811"]},{"raw_affiliation_string":"Dipartimento di Matematica Pura ed Applicata, Via Belzoni 7, I-35131 Padova, Italy. e-mail: srvdnl18@stud10.math.unipd.it#N#, , IT","institution_ids":["https://openalex.org/I138689650"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.4301,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.92590397,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"38","issue":"7","first_page":"423","last_page":"447"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9383000135421753,"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"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9383000135421753,"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/mathematics","display_name":"Mathematics","score":0.8577942848205566},{"id":"https://openalex.org/keywords/cauchy-sequence","display_name":"Cauchy sequence","score":0.7732836008071899},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.6980299949645996},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6495938301086426},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.522676408290863},{"id":"https://openalex.org/keywords/natural-number","display_name":"Natural number","score":0.49244675040245056},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.4753432273864746},{"id":"https://openalex.org/keywords/formal-system","display_name":"Formal system","score":0.47075942158699036},{"id":"https://openalex.org/keywords/baire-space","display_name":"Baire space","score":0.4616815447807312},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4487709105014801},{"id":"https://openalex.org/keywords/complete-metric-space","display_name":"Complete metric space","score":0.4482364058494568},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42885440587997437},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42118722200393677},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.4174407720565796},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.15106582641601562},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11950629949569702},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08503052592277527}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8577942848205566},{"id":"https://openalex.org/C203192437","wikidata":"https://www.wikidata.org/wiki/Q217847","display_name":"Cauchy sequence","level":2,"score":0.7732836008071899},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6980299949645996},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6495938301086426},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.522676408290863},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.49244675040245056},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.4753432273864746},{"id":"https://openalex.org/C102315432","wikidata":"https://www.wikidata.org/wiki/Q649732","display_name":"Formal system","level":2,"score":0.47075942158699036},{"id":"https://openalex.org/C166359235","wikidata":"https://www.wikidata.org/wiki/Q1150180","display_name":"Baire space","level":2,"score":0.4616815447807312},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4487709105014801},{"id":"https://openalex.org/C93361540","wikidata":"https://www.wikidata.org/wiki/Q848569","display_name":"Complete metric space","level":3,"score":0.4482364058494568},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42885440587997437},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42118722200393677},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.4174407720565796},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.15106582641601562},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11950629949569702},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08503052592277527},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s001530050149","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001530050149","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"Archive for Mathematical Logic","raw_type":"journal-article"},{"id":"pmh:hdl:10068/316504","is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/316504","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Y - Progress report"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W19739292","https://openalex.org/W104172771","https://openalex.org/W126568045","https://openalex.org/W238104292","https://openalex.org/W569543113","https://openalex.org/W1491813684","https://openalex.org/W1499154644","https://openalex.org/W1511133369","https://openalex.org/W1511783249","https://openalex.org/W1516030196","https://openalex.org/W1526028212","https://openalex.org/W1530615807","https://openalex.org/W1534635720","https://openalex.org/W1544564247","https://openalex.org/W1602067282","https://openalex.org/W1969682671","https://openalex.org/W1970510519","https://openalex.org/W1982721516","https://openalex.org/W1983705661","https://openalex.org/W2032386884","https://openalex.org/W2054365997","https://openalex.org/W2064315245","https://openalex.org/W2067914884","https://openalex.org/W2106718208","https://openalex.org/W2168509624","https://openalex.org/W2490719060","https://openalex.org/W2756921402","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2995769104","https://openalex.org/W2105274157","https://openalex.org/W2064384226","https://openalex.org/W2217766679","https://openalex.org/W3021341953","https://openalex.org/W2942528388","https://openalex.org/W2025164011","https://openalex.org/W4317914668","https://openalex.org/W2322871419","https://openalex.org/W2374361304"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}