{"id":"https://openalex.org/W2140570225","doi":"https://doi.org/10.2178/jsl/1190150046","title":"An axiomatic presentation of the nonstandard methods in mathematics","display_name":"An axiomatic presentation of the nonstandard methods in mathematics","publication_year":2002,"publication_date":"2002-03-01","ids":{"openalex":"https://openalex.org/W2140570225","doi":"https://doi.org/10.2178/jsl/1190150046","mag":"2140570225"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1190150046","is_oa":true,"landing_page_url":"https://doi.org/10.2178/jsl/1190150046","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7D55D0817A80691BCDD7D498D8AA7585/S002248120001001Xa.pdf/div-class-title-an-axiomatic-presentation-of-the-nonstandard-methods-in-mathematics-div.pdf","source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7D55D0817A80691BCDD7D498D8AA7585/S002248120001001Xa.pdf/div-class-title-an-axiomatic-presentation-of-the-nonstandard-methods-in-mathematics-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047853670","display_name":"Mauro Di Nasso","orcid":"https://orcid.org/0000-0001-6103-9775"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Mauro Di Nasso","raw_affiliation_strings":["Universit\u00e0 di Pisa, Dipartimento di Matematica Applicata Via Bonanno 25/B, 55126 Pisa, Italy, E-mail:","Universit\u00e0 di Pisa,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 di Pisa, Dipartimento di Matematica Applicata Via Bonanno 25/B, 55126 Pisa, Italy, E-mail:","institution_ids":["https://openalex.org/I108290504"]},{"raw_affiliation_string":"Universit\u00e0 di Pisa,","institution_ids":["https://openalex.org/I108290504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5047853670"],"corresponding_institution_ids":["https://openalex.org/I108290504"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":1.2498,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.78878422,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"67","issue":"1","first_page":"315","last_page":"325"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13558","display_name":"Philosophy, Science, and History","score":0.9646000266075134,"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/T12133","display_name":"Pragmatism in Philosophy and Education","score":0.9492999911308289,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.7860373258590698},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7068674564361572},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6586503982543945},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.6059643626213074},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5290193557739258},{"id":"https://openalex.org/keywords/presentation","display_name":"Presentation (obstetrics)","score":0.5092045664787292},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.4934488832950592},{"id":"https://openalex.org/keywords/conservative-extension","display_name":"Conservative extension","score":0.42045435309410095},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41200029850006104},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.38668203353881836},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34680116176605225},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3262295126914978},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17790362238883972},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07337233424186707},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05372926592826843}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.7860373258590698},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7068674564361572},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6586503982543945},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.6059643626213074},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5290193557739258},{"id":"https://openalex.org/C2777601897","wikidata":"https://www.wikidata.org/wiki/Q3409113","display_name":"Presentation (obstetrics)","level":2,"score":0.5092045664787292},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.4934488832950592},{"id":"https://openalex.org/C2780432614","wikidata":"https://www.wikidata.org/wiki/Q864213","display_name":"Conservative extension","level":2,"score":0.42045435309410095},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41200029850006104},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.38668203353881836},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34680116176605225},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3262295126914978},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17790362238883972},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07337233424186707},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05372926592826843},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.2178/jsl/1190150046","is_oa":true,"landing_page_url":"https://doi.org/10.2178/jsl/1190150046","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7D55D0817A80691BCDD7D498D8AA7585/S002248120001001Xa.pdf/div-class-title-an-axiomatic-presentation-of-the-nonstandard-methods-in-mathematics-div.pdf","source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.578.4734","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.578.4734","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dm.unipi.it/~dinasso/papers/05.pdf","raw_type":"text"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1190150046","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1190150046","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:arpi.unipi.it:11568/72580","is_oa":false,"landing_page_url":"http://hdl.handle.net/11568/72580","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.2178/jsl/1190150046","is_oa":true,"landing_page_url":"https://doi.org/10.2178/jsl/1190150046","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7D55D0817A80691BCDD7D498D8AA7585/S002248120001001Xa.pdf/div-class-title-an-axiomatic-presentation-of-the-nonstandard-methods-in-mathematics-div.pdf","source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2140570225.pdf","grobid_xml":"https://content.openalex.org/works/W2140570225.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W265040288","https://openalex.org/W303301081","https://openalex.org/W1026721552","https://openalex.org/W1853505122","https://openalex.org/W1978413491","https://openalex.org/W1993159501","https://openalex.org/W2035665850","https://openalex.org/W2070815955","https://openalex.org/W2072291170","https://openalex.org/W2572301780","https://openalex.org/W2799061192","https://openalex.org/W3206055721","https://openalex.org/W4234451513"],"related_works":["https://openalex.org/W2962692142","https://openalex.org/W1771651560","https://openalex.org/W4300725361","https://openalex.org/W2386897142","https://openalex.org/W1605727975","https://openalex.org/W4232127999","https://openalex.org/W1640180556","https://openalex.org/W329313523","https://openalex.org/W2262032878","https://openalex.org/W2116374711"],"abstract_inverted_index":{"Abstract":[0],"A":[1,29],"nonstandard":[2,11,19],"set":[3],"theory":[4],"*ZFC":[5,37],"is":[6,34,38],"proposed":[7],"that":[8],"axiomatizes":[9],"the":[10,15],"embedding":[12],"*.":[13],"Besides":[14],"usual":[16],"principles":[17],"of":[18,23,32,42],"analysis,":[20],"all":[21],"axioms":[22],"ZFC":[24],"except":[25],"regularity":[26],"are":[27],"assumed.":[28],"strong":[30],"form":[31],"saturation":[33],"also":[35],"postulated.":[36],"a":[39],"conservative":[40],"extension":[41],"ZFC.":[43]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
