{"title":"注意数学建模中的傲慢","authors":"Arnald Puy, Andrea Saltelli","doi":"arxiv-2207.12230","DOIUrl":null,"url":null,"abstract":"Here we briefly reflect on the philosophical foundations that ground the\nquest towards ever-detailed models and identify four practical dangers derived\nfrom this pursuit: explosion of the model's uncertainty space, model\nblack-boxing, computational exhaustion and model attachment. We argue that the\ngrowth of a mathematical model should be carefully and continuously pondered\nlest models become extraneous constructs chasing the Cartesian dream.","PeriodicalId":501533,"journal":{"name":"arXiv - CS - General Literature","volume":"20 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Mind the hubris in mathematical modeling\",\"authors\":\"Arnald Puy, Andrea Saltelli\",\"doi\":\"arxiv-2207.12230\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Here we briefly reflect on the philosophical foundations that ground the\\nquest towards ever-detailed models and identify four practical dangers derived\\nfrom this pursuit: explosion of the model's uncertainty space, model\\nblack-boxing, computational exhaustion and model attachment. We argue that the\\ngrowth of a mathematical model should be carefully and continuously pondered\\nlest models become extraneous constructs chasing the Cartesian dream.\",\"PeriodicalId\":501533,\"journal\":{\"name\":\"arXiv - CS - General Literature\",\"volume\":\"20 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-06-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - CS - General Literature\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2207.12230\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - CS - General Literature","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2207.12230","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Here we briefly reflect on the philosophical foundations that ground the
quest towards ever-detailed models and identify four practical dangers derived
from this pursuit: explosion of the model's uncertainty space, model
black-boxing, computational exhaustion and model attachment. We argue that the
growth of a mathematical model should be carefully and continuously pondered
lest models become extraneous constructs chasing the Cartesian dream.