{"id":"https://openalex.org/W7225464323","doi":"https://doi.org/10.5281/zenodo.24024654","title":"The Empty Occupant: A Mathematics Guide for Undergraduates","display_name":"The Empty Occupant: A Mathematics Guide for Undergraduates","publication_year":2026,"publication_date":"2026-11-07","ids":{"openalex":"https://openalex.org/W7225464323","doi":"https://doi.org/10.5281/zenodo.24024654"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24024654","doi":"https://doi.org/10.5281/zenodo.24024654","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24024654","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24024654","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5153371645","display_name":"Nicholas Cott","orcid":"https://orcid.org/0009-0006-5433-1296","observed_orcids":["https://orcid.org/0009-0006-5433-1296"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Cott, Nicholas","raw_affiliation_strings":["Independent"],"raw_orcid":"https://orcid.org/0009-0006-5433-1296","affiliations":[{"raw_affiliation_string":"Independent","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5153371645"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.3666999936103821,"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"}},"topics":[{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.3666999936103821,"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/T10883","display_name":"Ethics and Social Impacts of AI","score":0.047200001776218414,"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/T14115","display_name":"Legal processes and jurisprudence","score":0.028999999165534973,"subfield":{"id":"https://openalex.org/subfields/3308","display_name":"Law"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/robodebt","display_name":"Robodebt","score":0.8550000190734863},{"id":"https://openalex.org/keywords/answerability","display_name":"answerability","score":0.5400000214576721},{"id":"https://openalex.org/keywords/service-intervals","display_name":"service intervals","score":0.44200000166893005},{"id":"https://openalex.org/keywords/sensitivity-analysis","display_name":"sensitivity analysis","score":0.3700000047683716},{"id":"https://openalex.org/keywords/algorithmic-accountability","display_name":"algorithmic accountability","score":0.3440000116825104},{"id":"https://openalex.org/keywords/counterexample","display_name":"counterexample","score":0.6819999814033508}],"concepts":[{"id":"https://openalex.org/C4163816","wikidata":"https://www.wikidata.org/wiki/Q757382","display_name":"Insolvency","level":2,"score":0.6816999912261963},{"id":"https://openalex.org/C554936623","wikidata":"https://www.wikidata.org/wiki/Q199657","display_name":"Reading (process)","level":2,"score":0.6218000054359436},{"id":"https://openalex.org/C2777267654","wikidata":"https://www.wikidata.org/wiki/Q3519023","display_name":"Test (biology)","level":2,"score":0.5719000101089478},{"id":"https://openalex.org/C2777512617","wikidata":"https://www.wikidata.org/wiki/Q1783605","display_name":"Staffing","level":2,"score":0.512499988079071},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.46369999647140503},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4553999900817871},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41370001435279846},{"id":"https://openalex.org/C6377922","wikidata":"https://www.wikidata.org/wiki/Q302542","display_name":"Deontic logic","level":2,"score":0.40790000557899475},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.398499995470047},{"id":"https://openalex.org/C120527767","wikidata":"https://www.wikidata.org/wiki/Q3196867","display_name":"Debt","level":2,"score":0.3873000144958496},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.349700003862381},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.34279999136924744},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3190999925136566},{"id":"https://openalex.org/C2780966255","wikidata":"https://www.wikidata.org/wiki/Q5474306","display_name":"Foundation (evidence)","level":2,"score":0.31290000677108765},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.3125999867916107},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.3124000132083893},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.31029999256134033},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2827000021934509},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.2777000069618225},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2768999934196472},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.2689000070095062},{"id":"https://openalex.org/C2780414751","wikidata":"https://www.wikidata.org/wiki/Q157470","display_name":"Debtor","level":4,"score":0.2662999927997589},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.259799987077713},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.2587999999523163},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.251800000667572}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24024654","doi":"https://doi.org/10.5281/zenodo.24024654","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24024654","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.24024655","doi":"https://doi.org/10.5281/zenodo.24024655","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24024655","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24024654","doi":"https://doi.org/10.5281/zenodo.24024654","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24024654","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7221444727","https://openalex.org/W7221316214","https://openalex.org/W3142332020","https://openalex.org/W2553711287","https://openalex.org/W257825137","https://openalex.org/W7009713363","https://openalex.org/W2477715269","https://openalex.org/W7006331778","https://openalex.org/W135538057","https://openalex.org/W2182246017"],"abstract_inverted_index":{"This":[0,390],"mathematics":[1],"guide":[2,69,199,297,366,391],"accompanies":[3],"Nicholas":[4],"Cott\u2019s":[5],"monograph":[6,81,359],"The":[7,30,68,198,296],"Empty":[8,31],"Occupant:":[9,32],"Answerability,":[10],"Testimony,":[11],"and":[12,58,61,76,96,102,114,121,130,154,177,189,195,210,229,240,251,294,320,326,343,346,360,377,385],"the":[13,80,88,98,103,115,125,145,148,155,159,172,186,201,207,215,263,280,284,308,339,350,358,365,378],"Limits":[14],"of":[15,73,117,123,168],"Machine-Mediated":[16],"Authority":[17],"(manuscript":[18],"dated":[19],"06":[20,351],"November":[21,352],"2026).":[22],"It":[23,38],"is":[24,39,180,367],"designed":[25],"to":[26,225,237,241,258,317],"be":[27,138],"read":[28],"alongside":[29],"A":[33],"Reading":[34,208,340],"Guide":[35,209],"for":[36,41,106,151,303,335,383],"Undergraduates.":[37],"written":[40],"undergraduates":[42],"with":[43,313,338,394],"no":[44,52,54,62,387],"mathematical":[45],"preparation":[46],"beyond":[47,56],"ordinary":[48],"algebra:":[49],"it":[50,179,212,337],"assumes":[51],"calculus,":[53],"statistics":[55],"percentages":[57],"simple":[59],"averages,":[60],"training":[63],"in":[64,79,283,307],"formal":[65],"logic.":[66],"Contents.":[67],"explains":[70],"every":[71],"family":[72],"symbols,":[74],"equations":[75,187],"quantitative":[77],"comparisons":[78],"across":[82],"ten":[83],"lessons.":[84],"Topics":[85],"include:":[86],"reading":[87,333],"book\u2019s":[89],"notation:":[90],"conjunction,":[91],"implication,":[92],"equivalence,":[93],"quantifiers,":[94],"sets":[95],"forecasts;":[97],"four-relation":[99],"Answerability":[100],"conjunction":[101],"three-capacity":[104],"test":[105],"genuine":[107],"reconsideration;":[108],"maturation":[109],"times,":[110],"defended":[111],"service":[112],"intervals":[113],"unit":[116],"Deontic":[118,127],"Debt;":[119],"stocks":[120],"flows":[122],"obligations,":[124],"weighted":[126,143],"Debt":[128],"index":[129],"its":[131,169],"severity":[132],"weights;":[133],"why":[134,178],"critical":[135],"constraints":[136],"cannot":[137,190],"traded":[139],"off":[140],"against":[141],"a":[142,166,243,245,248,252,277,292,310,323,327,331,369],"total;":[144],"service-plan":[146],"predicate,":[147],"no-plan":[149],"formula":[150,306,324],"Institutional":[152],"Insolvency":[153],"maximum":[156],"serviceable":[157],"scale;":[158],"monograph\u2019s":[160,216],"four-week":[161],"synthetic":[162,219],"recovery":[163,170],"calculation,":[164,176],"including":[165],"derivation":[167],"inequality;":[171],"Robodebt":[173],"staffing":[174],"sensitivity":[175,253],"not":[181,362,368],"an":[182,300],"insolvency":[183],"verdict;":[184],"what":[185],"can":[188],"prove:":[191],"lower":[192,249],"bounds,":[193],"forecasts":[194],"counterexamples.":[196],"Approach.":[197],"reuses":[200],"invented":[202,382],"Northvale":[203,376],"rent-assistance":[204],"council":[205],"from":[206,214],"keeps":[211],"separate":[213],"own":[217],"1,000-case":[218],"scenario.":[220],"Worked":[221],"examples":[222],"train":[223],"students":[224,236],"keep":[226],"stipulated,":[227],"documentary":[228,373],"assumed":[230],"numbers":[231],"apart.":[232,255],"They":[233],"also":[234,298],"teach":[235],"check":[238],"units":[239],"tell":[242],"definition,":[244],"necessary":[246],"condition,":[247],"bound":[250],"calculation":[254],"Steps":[256],"added":[257],"aid":[259],"learning,":[260],"such":[261],"as":[262,268],"stock\u2013flow":[264],"identity,":[265],"are":[266,361,381],"labelled":[267],"teaching":[269,384],"illustrations.":[270],"Structure.":[271],"Each":[272],"lesson":[273,319],"includes":[274],"learning":[275],"objectives,":[276],"plain-English":[278],"explanation,":[279],"relevant":[281],"location":[282],"monograph,":[285],"worked":[286],"calculations,":[287],"key-term":[288],"definitions,":[289],"common":[290],"mistakes,":[291],"summary":[293],"questions.":[295],"provides:":[299],"eight-step":[301],"checklist":[302],"interpreting":[304],"any":[305],"monograph;":[309],"practice":[311,379],"workshop":[312,321],"three":[314],"problems;":[315],"answers":[316],"all":[318],"questions;":[322],"sheet":[325],"complete":[328],"symbol":[329],"glossary;":[330],"suggested":[332],"order":[334],"using":[336],"Guide.":[341],"Scope":[342],"currency.":[344],"Section":[345],"equation":[347],"references":[348],"follow":[349,357],"2026":[353],"manuscript.":[354],"Historical":[355],"figures":[356],"independently":[363],"re-checked;":[364],"new":[370],"legal":[371],"or":[372],"status":[374],"check.":[375],"problems":[380],"describe":[386],"real":[388],"organisation.":[389],"was":[392],"drafted":[393],"AI":[395],"assistance.":[396]},"counts_by_year":[],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2026-11-08T00:00:00"}
