{"id":"https://openalex.org/W2792657258","doi":"https://doi.org/10.1017/s1755020317000338","title":"THE LOGIC AND TOPOLOGY OF KANT\u2019S TEMPORAL CONTINUUM","display_name":"THE LOGIC AND TOPOLOGY OF KANT\u2019S TEMPORAL CONTINUUM","publication_year":2018,"publication_date":"2018-01-29","ids":{"openalex":"https://openalex.org/W2792657258","doi":"https://doi.org/10.1017/s1755020317000338","mag":"2792657258"},"language":"en","primary_location":{"id":"doi:10.1017/s1755020317000338","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s1755020317000338","pdf_url":null,"source":{"id":"https://openalex.org/S24077076","display_name":"The Review of Symbolic Logic","issn_l":"1755-0203","issn":["1755-0203","1755-0211"],"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":"The Review of Symbolic Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://philpapers.org/archive/PINTLA.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056668194","display_name":"RICCARDO PINOSIO","orcid":null},"institutions":[{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"RICCARDO PINOSIO","raw_affiliation_strings":["ILLC and Department of Philosophy, University of Amsterdam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ILLC and Department of Philosophy, University of Amsterdam","institution_ids":["https://openalex.org/I887064364"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113601663","display_name":"Michiel van Lambalgen","orcid":null},"institutions":[{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"MICHIEL VAN LAMBALGEN","raw_affiliation_strings":["ILLC and Department of Philosophy, University of Amsterdam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ILLC and Department of Philosophy, University of Amsterdam","institution_ids":["https://openalex.org/I887064364"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5056668194","https://openalex.org/A5113601663"],"corresponding_institution_ids":["https://openalex.org/I887064364"],"apc_list":null,"apc_paid":null,"fwci":1.9946,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.86917472,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"11","issue":"1","first_page":"160","last_page":"206"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13712","display_name":"Kantian Philosophy and Modern Interpretations","score":0.9796000123023987,"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"}},"topics":[{"id":"https://openalex.org/T13712","display_name":"Kantian Philosophy and Modern Interpretations","score":0.9796000123023987,"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"}},{"id":"https://openalex.org/T13558","display_name":"Philosophy, Science, and History","score":0.9764999747276306,"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/T10258","display_name":"Philosophy and Theoretical Science","score":0.967199981212616,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/infinitesimal","display_name":"Infinitesimal","score":0.8383533358573914},{"id":"https://openalex.org/keywords/transcendental-number","display_name":"Transcendental number","score":0.7860708832740784},{"id":"https://openalex.org/keywords/metaphysics","display_name":"Metaphysics","score":0.6529222726821899},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6025227904319763},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.5521989464759827},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.5014705657958984},{"id":"https://openalex.org/keywords/continuum-hypothesis","display_name":"Continuum hypothesis","score":0.484052836894989},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4075714945793152},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.33251720666885376},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07005318999290466}],"concepts":[{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.8383533358573914},{"id":"https://openalex.org/C188370112","wikidata":"https://www.wikidata.org/wiki/Q173091","display_name":"Transcendental number","level":2,"score":0.7860708832740784},{"id":"https://openalex.org/C182744844","wikidata":"https://www.wikidata.org/wiki/Q35277","display_name":"Metaphysics","level":2,"score":0.6529222726821899},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6025227904319763},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.5521989464759827},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.5014705657958984},{"id":"https://openalex.org/C96488702","wikidata":"https://www.wikidata.org/wiki/Q208416","display_name":"Continuum hypothesis","level":2,"score":0.484052836894989},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4075714945793152},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33251720666885376},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07005318999290466},{"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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1017/s1755020317000338","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s1755020317000338","pdf_url":null,"source":{"id":"https://openalex.org/S24077076","display_name":"The Review of Symbolic Logic","issn_l":"1755-0203","issn":["1755-0203","1755-0211"],"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":"The Review of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:philarchive.org/rec/PINTLA","is_oa":true,"landing_page_url":"https://philarchive.org/rec/PINTLA","pdf_url":"https://philpapers.org/archive/PINTLA.pdf","source":{"id":"https://openalex.org/S4306402130","display_name":"PhilPapers (PhilPapers Foundation)","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":"info:eu-repo/semantics/article"},{"id":"pmh:oai:philpapers.org/rec/PINTLA","is_oa":false,"landing_page_url":"https://philpapers.org/rec/PINTLA","pdf_url":null,"source":{"id":"https://openalex.org/S4306402130","display_name":"PhilPapers (PhilPapers Foundation)","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":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:philarchive.org/rec/PINTLA","is_oa":true,"landing_page_url":"https://philarchive.org/rec/PINTLA","pdf_url":"https://philpapers.org/archive/PINTLA.pdf","source":{"id":"https://openalex.org/S4306402130","display_name":"PhilPapers (PhilPapers Foundation)","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":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2792657258.pdf","grobid_xml":"https://content.openalex.org/works/W2792657258.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W410850011","https://openalex.org/W623229060","https://openalex.org/W1444781587","https://openalex.org/W1556189547","https://openalex.org/W1589741152","https://openalex.org/W1969802434","https://openalex.org/W1973147448","https://openalex.org/W1977480455","https://openalex.org/W2002001686","https://openalex.org/W2006706282","https://openalex.org/W2022614227","https://openalex.org/W2023005629","https://openalex.org/W2049344128","https://openalex.org/W2051356992","https://openalex.org/W2070161140","https://openalex.org/W2076232585","https://openalex.org/W2084887209","https://openalex.org/W2084948047","https://openalex.org/W2086342133","https://openalex.org/W2089204427","https://openalex.org/W2091197883","https://openalex.org/W2091439609","https://openalex.org/W2120361642","https://openalex.org/W2126845886","https://openalex.org/W2143801939","https://openalex.org/W2157105539","https://openalex.org/W2161484642","https://openalex.org/W2167512864","https://openalex.org/W2185608938","https://openalex.org/W2313233527","https://openalex.org/W2510493031","https://openalex.org/W2757971119","https://openalex.org/W2969470217","https://openalex.org/W4253308766","https://openalex.org/W4255048699","https://openalex.org/W6686246820"],"related_works":["https://openalex.org/W2370598571","https://openalex.org/W2584133136","https://openalex.org/W2336452242","https://openalex.org/W3081946504","https://openalex.org/W2060709511","https://openalex.org/W2531408538","https://openalex.org/W3196559164","https://openalex.org/W2973940054","https://openalex.org/W2514639872","https://openalex.org/W3106973619"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,22,160],"paper":[3,161],"we":[4,102,109],"provide":[5],"a":[6,47,86,171],"mathematical":[7],"model":[8,43],"of":[9,21,27,34,75,90,94,126,136,144,155,169,174,181],"Kant\u2019s":[10,18,45,91,134,153],"temporal":[11],"continuum":[12,107,117],"that":[13,40,58,104,119],"yields":[14],"formal":[15,42],"correlates":[16],"for":[17,50,72,77,166],"informal":[19],"treatment":[20],"concept":[23],"in":[24,31,68,140,159,178],"the":[25,41,73,105,115,141,157,167,175,179],"Critique":[26],"Pure":[28],"Reason":[29],"and":[30,57,64,138,184],"other":[32],"works":[33],"his":[35],"critical":[36],"period.":[37],"We":[38,83],"show":[39,103],"satisfies":[44],"synthetic":[46],"priori":[48],"principles":[49],"time":[51,78,156],"(whose":[52],"consistence":[53],"is":[54,151,162],"not":[55],"obvious)":[56],"it":[59,120],"even":[60],"illuminates":[61],"what":[62],"\u201cfaculties":[63],"functions\u201d":[65],"must":[66],"be":[67],"place,":[69],"as":[70],"\u201cconditions":[71],"possibility":[74],"experience\u201d,":[76],"to":[79,99,132],"satisfy":[80],"such":[81],"principles.":[82],"then":[84],"present":[85],"mathematically":[87],"precise":[88,97],"account":[89,98],"transcendental":[92],"theory":[93,135,154,173],"time\u2014the":[95],"most":[96],"date.":[100],"Moreover,":[101],"Kantian":[106],"which":[108],"obtain":[110],"has":[111,122],"some":[112],"affinities":[113],"with":[114],"Brouwerian":[116],"but":[118],"also":[121],"\u201cinfinitesimal":[123],"intervals\u201d":[124],"consisting":[125],"nilpotent":[127],"infinitesimals;":[128],"these":[129],"allow":[130],"us":[131],"capture":[133],"rest":[137],"motion":[139],"Metaphysical":[142],"Foundations":[143],"Natural":[145],"Science":[146],".":[147],"While":[148],"our":[149],"focus":[150],"on":[152],"material":[158],"more":[163],"generally":[164],"relevant":[165],"problem":[168],"developing":[170],"rigorous":[172],"phenomenological":[176],"continuum,":[177],"tradition":[180],"Whitehead,":[182],"Russell,":[183],"Weyl":[185],"among":[186],"others.":[187]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
