{"id":"https://openalex.org/W4253026378","doi":"https://doi.org/10.1305/ndjfl/1093894623","title":"Examination of the axiomatic foundations of a theory of change. V.","display_name":"Examination of the axiomatic foundations of a theory of change. V.","publication_year":1972,"publication_date":"1972-01-01","ids":{"openalex":"https://openalex.org/W4253026378","doi":"https://doi.org/10.1305/ndjfl/1093894623"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1093894623","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093894623","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-13/issue-1/Examination-of-the-axiomatic-foundations-of-a-theory-of-change/10.1305/ndjfl/1093894623.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-13/issue-1/Examination-of-the-axiomatic-foundations-of-a-theory-of-change/10.1305/ndjfl/1093894623.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051535612","display_name":"Laurent Larouche","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Laurent Larouche","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5051535612"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.58271497,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11810","display_name":"Complex Systems and Decision Making","score":0.024299999698996544,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11810","display_name":"Complex Systems and Decision Making","score":0.024299999698996544,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12953","display_name":"Critical Realism in Sociology","score":0.023900000378489494,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12469","display_name":"Chaos, Complexity, and Education","score":0.017899999395012856,"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/axiom","display_name":"Axiom","score":0.6748074293136597},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5459316372871399},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.4644804894924164},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.4532060921192169},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.4526866674423218},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4361193776130676},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4034702181816101},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0591617226600647},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.050807684659957886}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6748074293136597},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5459316372871399},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.4644804894924164},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.4532060921192169},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.4526866674423218},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4361193776130676},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4034702181816101},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0591617226600647},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.050807684659957886},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1305/ndjfl/1093894623","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093894623","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-13/issue-1/Examination-of-the-axiomatic-foundations-of-a-theory-of-change/10.1305/ndjfl/1093894623.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:CULeuclid:euclid.ndjfl/1093894623","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1093894623","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/1093894623","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093894623","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-13/issue-1/Examination-of-the-axiomatic-foundations-of-a-theory-of-change/10.1305/ndjfl/1093894623.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":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4253026378.pdf","grobid_xml":"https://content.openalex.org/works/W4253026378.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W4233214599"],"related_works":["https://openalex.org/W1771651560","https://openalex.org/W2962692142","https://openalex.org/W4300725361","https://openalex.org/W2386897142","https://openalex.org/W1605727975","https://openalex.org/W1640180556","https://openalex.org/W2753083100","https://openalex.org/W3198799031","https://openalex.org/W1584952351","https://openalex.org/W3122092647"],"abstract_inverted_index":{"Third":[0],"Part*":[1],"\u00a75":[2],"\u00a75.Independence":[3],"Independence":[4],"is":[5,21,62,100,134,139],"not":[6,101],"an":[7],"essential":[8],"requirement":[9],"of":[10,19,24,31,37,67,115,137,151],"axiom":[11],"systems;":[12],"rather,":[13],"it":[14],"belongs":[15],"to":[16,64,95,142],"the":[17,29,38,44,149],"realm":[18],"aesthetics.It":[20],"a":[22,112,220,224],"question":[23],"whether":[25,34],"we":[26,110],"can":[27,40],"reduce":[28],"number":[30],"axioms,":[32,58],"i.e.,":[33],"any":[35],"one":[36],"axioms":[39,144],"be":[41,65,81],"derived":[42,82],"from":[43,83,103],"other":[45],"ones.Assuming,":[46],"for":[47],"example,":[48],"that":[49,97,118],"A":[50,55,60,68,73,78,84,90,98,104,119,124,132,154,161,168,176,191,206,211,225,236,241,254,268,273,277],"1}":[51],".":[52,53,70,71,87,88,106,107,121,122],".,":[54,72,89,108,123],"n":[56,61,79,99,133],"are":[57,127],"then":[59],"said":[63],"independent":[66],"l9":[69,120],"w":[74,91,125],"_":[75],"1?":[76,105],"if":[77],"cannot":[80],"x":[85,160,170,178,189,193,213,214,261],",":[86],".1#":[92],"In":[93],"order":[94],"prove":[96],"derivable":[102],"A^!,":[109],"choose":[111],"domain":[113],"\u03c9":[114,130],"individuals":[116],"such":[117],"_!":[126],"satisfied":[128],"in":[129,148],"while":[131],"not.The":[135],"proof":[136],"independence":[138],"here":[140],"limited":[141],"those":[143],"which":[145],"were":[146],"used":[147],"derivation":[150],"Theorem":[152],"7.9:":[153],"3.1.2x":[155],"~":[156,159,174,244],"y-*":[157],"y":[158,163,172,175,181,185,195,199,204,245,248,251],"3.2.3x<":[162],"*y<":[164],"z-*":[165],"x<":[166],"z":[167,190],"3.3":[169],"<":[171,180,184,194,198,215,234,250],"-*lx":[173],"3.5":[177],"\u03bb":[179,223],"\u039bX":[182],"2":[183,200,205,219,257,264,266],"-\u00bb":[186,221],"Gx":[187],"1":[188,203,249],"3.6":[192],"X":[196],"AX":[197],"->":[201],"Gy":[202],"5.1":[207],"Axa":[208],"-*":[209,239,252],"Fxct":[210],"5.2":[212],"X2":[216],"\u039b":[217],"\u03a8x":[218,222],"6.2":[226],"Uxya":[227],"-3;y":[228],"0":[229,231,233,246],"(xy":[230],"*y":[232],"y)":[235],"6.3":[237],"Mxya":[238],"kya":[240],"6.4":[242],"hAxyaAX":[243],"^":[247],"lA^\u03b1":[253],"6.7":[255],"Vy\u03b9y":[256],"o\u03af-^":[258],"ixly":[259],"{\u03c7~y*y":[260],"^y":[262],"<y":[263],"Ah\u03bbxy":[265],"a)":[267],"7.2":[269],"Bxyot\u039bByza":[270],"-\u2022":[271],"Bxza":[272],"7.3":[274],"P\u039br\u03b1i\u039bA^\u03b1-*":[275],"WA\u0393^U:":[276],"7.":[278]},"counts_by_year":[],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}
