{"id":"https://openalex.org/W2025422824","doi":"https://doi.org/10.1305/ndjfl/1071509430","title":"Nonclassical Mereology and Its Application to Sets","display_name":"Nonclassical Mereology and Its Application to Sets","publication_year":2002,"publication_date":"2002-04-01","ids":{"openalex":"https://openalex.org/W2025422824","doi":"https://doi.org/10.1305/ndjfl/1071509430","mag":"2025422824"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1071509430","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1071509430","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-43/issue-2/Nonclassical-Mereology-and-Its-Application-to-Sets/10.1305/ndjfl/1071509430.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-43/issue-2/Nonclassical-Mereology-and-Its-Application-to-Sets/10.1305/ndjfl/1071509430.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102797024","display_name":"Peter Forrest","orcid":"https://orcid.org/0000-0003-4231-0464"},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]},{"id":"https://openalex.org/I90745801","display_name":"University of New England","ror":"https://ror.org/04r659a56","country_code":"AU","type":"education","lineage":["https://openalex.org/I90745801"]}],"countries":["AU","US"],"is_corresponding":true,"raw_author_name":"Peter Forrest","raw_affiliation_strings":["School of Social Science University of New England Armidale NSW 2351 AUSTRALIA","University of Notre Dame","University of New England Armidale NSW 2351 AUSTRALIA","University of Notre Dame School of Social Science"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Social Science University of New England Armidale NSW 2351 AUSTRALIA","institution_ids":["https://openalex.org/I90745801"]},{"raw_affiliation_string":"University of Notre Dame","institution_ids":["https://openalex.org/I107639228"]},{"raw_affiliation_string":"University of New England Armidale NSW 2351 AUSTRALIA","institution_ids":["https://openalex.org/I90745801"]},{"raw_affiliation_string":"University of Notre Dame School of Social Science","institution_ids":["https://openalex.org/I107639228"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102797024"],"corresponding_institution_ids":["https://openalex.org/I107639228","https://openalex.org/I90745801"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":46,"citation_normalized_percentile":{"value":0.1427379,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"43","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10258","display_name":"Philosophy and Theoretical Science","score":0.9829000234603882,"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":0.9829000234603882,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9275000095367432,"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/T10778","display_name":"Philosophy and History of Science","score":0.9004999995231628,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mereology","display_name":"Mereology","score":0.993940532207489},{"id":"https://openalex.org/keywords/appeal","display_name":"Appeal","score":0.599764883518219},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41331738233566284},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.3552633821964264},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.33066368103027344},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.05505555868148804}],"concepts":[{"id":"https://openalex.org/C152385842","wikidata":"https://www.wikidata.org/wiki/Q1194916","display_name":"Mereology","level":2,"score":0.993940532207489},{"id":"https://openalex.org/C2778449503","wikidata":"https://www.wikidata.org/wiki/Q329777","display_name":"Appeal","level":2,"score":0.599764883518219},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41331738233566284},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.3552633821964264},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.33066368103027344},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.05505555868148804},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1305/ndjfl/1071509430","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1071509430","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-43/issue-2/Nonclassical-Mereology-and-Its-Application-to-Sets/10.1305/ndjfl/1071509430.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},{"id":"pmh:oai:rune.une.edu.au:1959.11/204","is_oa":true,"landing_page_url":"https://hdl.handle.net/1959.11/204","pdf_url":"https://rune.une.edu.au/web/retrieve/26113e33-800c-4135-926d-172aee74d7b1","source":{"id":"https://openalex.org/S7407055448","display_name":"RUNE (Research UNE)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},{"id":"pmh:oai:CULeuclid:euclid.ndjfl/1071509430","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.ndjfl/1071509430","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"}],"best_oa_location":{"id":"doi:10.1305/ndjfl/1071509430","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1071509430","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-43/issue-2/Nonclassical-Mereology-and-Its-Application-to-Sets/10.1305/ndjfl/1071509430.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.5899999737739563}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2025422824.pdf","grobid_xml":"https://content.openalex.org/works/W2025422824.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W6204907","https://openalex.org/W2048194783","https://openalex.org/W2050487112","https://openalex.org/W2074231115","https://openalex.org/W2461826422","https://openalex.org/W4245225778","https://openalex.org/W4252886786"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4235289313","https://openalex.org/W1492437063","https://openalex.org/W2248977551","https://openalex.org/W2018860261","https://openalex.org/W2509213526","https://openalex.org/W2494793519","https://openalex.org/W4321104182","https://openalex.org/W4366496405","https://openalex.org/W2348074419"],"abstract_inverted_index":{"Part":[0,42],"One":[1],"of":[2,23,40,51],"this":[3],"paper":[4],"is":[5],"a":[6,38],"case":[7,16],"against":[8],"classical":[9,24],"mereology":[10,25,47],"and":[11,26,53],"for":[12],"Heyting":[13,46],"mereology.":[14],"This":[15],"proceeds":[17],"by":[18],"first":[19],"undermining":[20],"the":[21],"appeal":[22],"then":[27],"showing":[28],"how":[29,45],"it":[30],"fails":[31],"to":[32,57],"cohere":[33],"with":[34],"our":[35],"intuitions":[36],"about":[37],"measure":[39],"quantity.":[41],"Two":[43],"shows":[44],"provides":[48],"an":[49],"account":[50],"sets":[52],"classes":[54],"without":[55],"resort":[56],"any":[58],"nonmereological":[59],"primitive.":[60]},"counts_by_year":[{"year":2026,"cited_by_count":19},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2025-10-10T00:00:00"}