{"id":"https://openalex.org/W2898129632","doi":"https://doi.org/10.1007/s10992-018-9490-1","title":"Reasoning about Arbitrary Natural Numbers from a Carnapian Perspective","display_name":"Reasoning about Arbitrary Natural Numbers from a Carnapian Perspective","publication_year":2018,"publication_date":"2018-10-25","ids":{"openalex":"https://openalex.org/W2898129632","doi":"https://doi.org/10.1007/s10992-018-9490-1","mag":"2898129632"},"language":"en","primary_location":{"id":"doi:10.1007/s10992-018-9490-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10992-018-9490-1","pdf_url":null,"source":{"id":"https://openalex.org/S161120620","display_name":"Journal of Philosophical Logic","issn_l":"0022-3611","issn":["0022-3611","1573-0433"],"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":"Journal of Philosophical Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research-information.bris.ac.uk/en/publications/fe6e0342-802e-4805-9a6b-05101c34f425","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086787110","display_name":"Leon Horsten","orcid":"https://orcid.org/0000-0003-3610-9318"},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Leon Horsten","raw_affiliation_strings":["University of Bristol, Cotham House, Cotham Hill, Bristol, BS6 6JL, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bristol, Cotham House, Cotham Hill, Bristol, BS6 6JL, UK","institution_ids":["https://openalex.org/I36234482"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006401614","display_name":"Stanislav O. Speranski","orcid":"https://orcid.org/0000-0001-6386-5632"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Stanislav O. Speranski","raw_affiliation_strings":["St. Petersburg State University, 29B Line 14th, Vasilyevsky Island, Saint Petersburg, 199178, Russia"],"raw_orcid":"https://orcid.org/0000-0001-6386-5632","affiliations":[{"raw_affiliation_string":"St. Petersburg State University, 29B Line 14th, Vasilyevsky Island, Saint Petersburg, 199178, Russia","institution_ids":["https://openalex.org/I172901346"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006401614"],"corresponding_institution_ids":["https://openalex.org/I172901346"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":1.0956,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.80459116,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"48","issue":"4","first_page":"685","last_page":"707"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10258","display_name":"Philosophy and Theoretical Science","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10258","display_name":"Philosophy and Theoretical Science","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9930999875068665,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.987500011920929,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.6912103891372681},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.6424145102500916},{"id":"https://openalex.org/keywords/natural-number","display_name":"Natural number","score":0.6253435611724854},{"id":"https://openalex.org/keywords/natural","display_name":"Natural (archaeology)","score":0.5721359252929688},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.5152850151062012},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4845084547996521},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.46741819381713867},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42861148715019226},{"id":"https://openalex.org/keywords/kripke-semantics","display_name":"Kripke semantics","score":0.4274980127811432},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.39001360535621643},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3705558776855469},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34685540199279785},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3168242573738098},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.27258941531181335},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24781107902526855},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23570969700813293},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.20638903975486755},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.12184566259384155}],"concepts":[{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.6912103891372681},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.6424145102500916},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.6253435611724854},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.5721359252929688},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.5152850151062012},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4845084547996521},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.46741819381713867},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42861148715019226},{"id":"https://openalex.org/C160131679","wikidata":"https://www.wikidata.org/wiki/Q2462350","display_name":"Kripke semantics","level":4,"score":0.4274980127811432},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.39001360535621643},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3705558776855469},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34685540199279785},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3168242573738098},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.27258941531181335},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24781107902526855},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23570969700813293},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.20638903975486755},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.12184566259384155},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"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/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10992-018-9490-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10992-018-9490-1","pdf_url":null,"source":{"id":"https://openalex.org/S161120620","display_name":"Journal of Philosophical Logic","issn_l":"0022-3611","issn":["0022-3611","1573-0433"],"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":"Journal of Philosophical Logic","raw_type":"journal-article"},{"id":"pmh:oai:research-information.bris.ac.uk:publications/fe6e0342-802e-4805-9a6b-05101c34f425","is_oa":true,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/fe6e0342-802e-4805-9a6b-05101c34f425","pdf_url":null,"source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Horsten, L & Speranski, S O 2019, 'Reasoning about Arbitrary Natural Numbers from a Carnapian Perspective', Journal of Philosophical Logic, vol. 48, no. 4, pp. 685-707. https://doi.org/10.1007/s10992-018-9490-1","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:research-information.bris.ac.uk:publications/fe6e0342-802e-4805-9a6b-05101c34f425","is_oa":false,"landing_page_url":"https://hdl.handle.net/1983/fe6e0342-802e-4805-9a6b-05101c34f425","pdf_url":null,"source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"pmh:oai:research-information.bris.ac.uk:publications/fe6e0342-802e-4805-9a6b-05101c34f425","is_oa":true,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/fe6e0342-802e-4805-9a6b-05101c34f425","pdf_url":null,"source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Horsten, L & Speranski, S O 2019, 'Reasoning about Arbitrary Natural Numbers from a Carnapian Perspective', Journal of Philosophical Logic, vol. 48, no. 4, pp. 685-707. https://doi.org/10.1007/s10992-018-9490-1","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320333289","display_name":"Institute of Advanced Studies, University of Bristol","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1526348167","https://openalex.org/W1548835575","https://openalex.org/W1572932467","https://openalex.org/W1926269500","https://openalex.org/W1967277062","https://openalex.org/W1990179614","https://openalex.org/W2021712132","https://openalex.org/W2031648800","https://openalex.org/W2040930864","https://openalex.org/W2053756009","https://openalex.org/W2062719791","https://openalex.org/W2068358250","https://openalex.org/W2327643458","https://openalex.org/W2474932635","https://openalex.org/W2747885441","https://openalex.org/W2806413172","https://openalex.org/W4210888696","https://openalex.org/W4238214510","https://openalex.org/W4243686683","https://openalex.org/W4247915068","https://openalex.org/W4248545424","https://openalex.org/W4249906593","https://openalex.org/W4403078538","https://openalex.org/W6750810388"],"related_works":["https://openalex.org/W2910112965","https://openalex.org/W2101793126","https://openalex.org/W2028144918","https://openalex.org/W2038216920","https://openalex.org/W2077061463","https://openalex.org/W4251538115","https://openalex.org/W2232612073","https://openalex.org/W1964098890","https://openalex.org/W1539123436","https://openalex.org/W2963628981"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}