{"id":"https://openalex.org/W4246252816","doi":"https://doi.org/10.1305/ndjfl/1093893788","title":"Examination of the axiomatic foundations of a theory of change. III.","display_name":"Examination of the axiomatic foundations of a theory of change. III.","publication_year":1969,"publication_date":"1969-10-01","ids":{"openalex":"https://openalex.org/W4246252816","doi":"https://doi.org/10.1305/ndjfl/1093893788"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1093893788","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093893788","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-10/issue-4/Examination-of-the-axiomatic-foundations-of-a-theory-of-change/10.1305/ndjfl/1093893788.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-10/issue-4/Examination-of-the-axiomatic-foundations-of-a-theory-of-change/10.1305/ndjfl/1093893788.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087007615","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/A5087007615"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.6450247,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13498","display_name":"Economic Development and Digital Transformation","score":0.05169999971985817,"subfield":{"id":"https://openalex.org/subfields/2000","display_name":"General Economics, Econometrics and Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T13498","display_name":"Economic Development and Digital Transformation","score":0.05169999971985817,"subfield":{"id":"https://openalex.org/subfields/2000","display_name":"General Economics, Econometrics and Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6534867286682129},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5585191249847412},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5054600238800049},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.4515218138694763},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.4343101680278778},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41925758123397827},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.40774697065353394},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09267032146453857},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.08172374963760376}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6534867286682129},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5585191249847412},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5054600238800049},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.4515218138694763},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.4343101680278778},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41925758123397827},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.40774697065353394},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09267032146453857},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.08172374963760376},{"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/1093893788","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093893788","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-10/issue-4/Examination-of-the-axiomatic-foundations-of-a-theory-of-change/10.1305/ndjfl/1093893788.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/1093893788","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1093893788","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/1093893788","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093893788","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-10/issue-4/Examination-of-the-axiomatic-foundations-of-a-theory-of-change/10.1305/ndjfl/1093893788.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/W4246252816.pdf","grobid_xml":"https://content.openalex.org/works/W4246252816.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"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],"\u00a7":[2],"\u00a71-3":[3],"\u00a71.Description":[4],"of":[5,18,29,62,133,136,169,192,200,229],"the":[6,9,19,43,60,130,134,142,180,216,227],"deductive":[7,137],"system.In":[8],"contemporary":[10],"scientific":[11],"literature":[12],"we":[13,139],"can":[14],"find":[15],"many":[16],"variations":[17],"first-order":[20,44],"predicate":[21,45],"calculus.It":[22],"is":[23],"then":[24],"necessary":[25],"to":[26,34,178,214],"select":[27],"one":[28],"these":[30],"which":[31],"shall":[32,41,140],"serve":[33],"derive":[35],"our":[36,39],"propositions":[37],"from":[38,65],"axioms.We":[40],"use":[42,141],"calculus":[46,58,64,72],"by":[47],"H.":[48],"Hermes":[49],"in":[50,53,70,196],"his":[51,71],"\"Einf\u03cbhrung":[52],"die":[54,100,104,107,110],"mathematische":[55],"Logik\"":[56],"[13].This":[57],"has":[59],"form":[61],"a":[63,68],"assumptions.Hermes":[66],"describes":[67],"proof":[69],"as":[73,155,219],"follows:":[74],"\"Ein":[75],"Beweis":[76],"im":[77],"Sinne":[78],"eines":[79],"Annahmenkalkuls":[80],"besteht":[81],".":[82,83],".aus":[84],"einer":[85,123],"endlichen":[86],"Folge":[87],"von":[88,98,116],"Zeilen,":[89],"wobei":[90],"jede":[91],"Zeile":[92,113,125],"aus":[93],"endlich":[94],"vielen":[95],"Aussagen":[96],"besteht,":[97],"denen":[99],"jeweils":[101],"letzte":[102],"als":[103,109],"Behauptung":[105],"und":[106],"vorangehenden":[108],"Annahmen":[111],"dieser":[112],"angesehen":[114],"man":[115],"Ausgangszeilen":[117],"(den":[118],"Pramissen)":[119],"ubergehen":[120],"kann":[121],"zu":[122],"weiteren":[124],"(der":[126],"Conclusio)\",":[127],"[13],":[128],"pp.34-35.In":[129],"following":[131],"presentation":[132],"system":[135],"rules,":[138],"symbols":[143],"\"p\",":[144],"\"\u03c3\",":[145],"\"\u03c4\",":[146],"and":[147,151,160,166,189,206,221],"\"a\",":[148],"\"b\",":[149],"\"c\",":[150],"\"Q\",":[152],"(\u03af":[153],"\u03b2\"":[154],"variables":[156],"respectively":[157],"for":[158,183],"expressions,":[159],"individuals":[161],"(momentaneous":[162],"subjects":[163],"or":[164],"properties),":[165],"predicates.(A)":[167],"Rule":[168],"self-affirmation":[170],"PP":[171],"(Rule":[172],"without":[173],"premisses)":[174],"The":[175],"rule":[176],"allows":[177],"write":[179],"sequence":[181],"pp":[182],"any":[184],"expression":[185],"p.":[186],"*The":[187],"first":[188],"second":[190],"parts":[191],"this":[193,230],"paper":[194],"appeared":[195],"Notre":[197],"Dame":[198],"Journal":[199],"Formal":[201],"Logic,":[202],"vol.DC":[203],"(1968),":[204],"pp.371-384,":[205],"vol.X":[207],"(1969),":[208],"pp.277-284,":[209],"respectively.They":[210],"will":[211],"be":[212],"referred":[213],"throughout":[215],"remaining":[217],"parts,":[218],"[I]":[220],"[II].See":[222],"additional":[223],"References":[224],"given":[225],"at":[226],"end":[228],"part.":[231]},"counts_by_year":[],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}
