Pub Date : 2022-07-01DOI: 10.5642/jhummath.iypu4188
L. Lesser, Patricia Barrientos, Ben Zeidman
{"title":"Higher Meanings: A Speaker Series Connecting Mathematics and Religion","authors":"L. Lesser, Patricia Barrientos, Ben Zeidman","doi":"10.5642/jhummath.iypu4188","DOIUrl":"https://doi.org/10.5642/jhummath.iypu4188","url":null,"abstract":"","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48159649","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-07-01DOI: 10.5642/jhummath.xvsp3245
Marie Oldfield
Education for concepts such as ethics and societal responsibility that are critical in building robust and applicable mathematical and statistical models do currently exist in isolation but have not been incorporated into the mainstream curricula at the school or university level. This is partially due to the split between fields (such as mathematics, statistics, and computer science) in an educational setting but also the speed with which education is able to keep up with industry and its requirements. I argue that principles and frameworks of socially responsible modelling should begin at school level and that this would mean that ethics and real-life modelling are introduced much earlier than is currently done. Integrating these concepts with philosophical principles of society and ethics would ensure suitable foundations for future modellers and users of technology to build upon.
{"title":"Towards Pedagogy Supporting Ethics in Modelling","authors":"Marie Oldfield","doi":"10.5642/jhummath.xvsp3245","DOIUrl":"https://doi.org/10.5642/jhummath.xvsp3245","url":null,"abstract":"Education for concepts such as ethics and societal responsibility that are critical in building robust and applicable mathematical and statistical models do currently exist in isolation but have not been incorporated into the mainstream curricula at the school or university level. This is partially due to the split between fields (such as mathematics, statistics, and computer science) in an educational setting but also the speed with which education is able to keep up with industry and its requirements. I argue that principles and frameworks of socially responsible modelling should begin at school level and that this would mean that ethics and real-life modelling are introduced much earlier than is currently done. Integrating these concepts with philosophical principles of society and ethics would ensure suitable foundations for future modellers and users of technology to build upon.","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49227026","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-07-01DOI: 10.5642/jhummath.nfhq4170
David R. Pierce
{"title":"Conic Diagrams","authors":"David R. Pierce","doi":"10.5642/jhummath.nfhq4170","DOIUrl":"https://doi.org/10.5642/jhummath.nfhq4170","url":null,"abstract":"","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48643543","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-07-01DOI: 10.5642/jhummath.vnfg9146
J. Donoghue
{"title":"Scientists Confirm Euler's Identity is Math's Most Beautiful Expression","authors":"J. Donoghue","doi":"10.5642/jhummath.vnfg9146","DOIUrl":"https://doi.org/10.5642/jhummath.vnfg9146","url":null,"abstract":"","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43979125","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-07-01DOI: 10.5642/jhummath.oote2363
M. Gordon
Mathematics employs a formal language where symbols, verbs, and nouns serve to express terms, concepts, and rules that concatenate to definitions, problemsolving procedures, and proofs. Taken together these constitute the expository language of mathematics found in journals, textbooks, and demonstrations. As the object of these mathematical communications is to inform and perhaps inspire, there are epistemological and ethical considerations that deserve examination. For in keeping with the commitment to an aesthetic of concision promulgated by tradition, the formal presentation language and style of mathematics, while valuable in furthering the body of knowledge, provides only the conclusion of an inquiry, completely excluding the language of investigation that informed the many steps of decision making involved in the process, so that little if any insight into the creative process is made available. Here we explore this problem of communication in the context of mathematics presented to students early in their education as well as at university level. The argument is made that the language of investigation — the heuristic actions instrumental for their formulation — ought to accompany the language of formal demonstration so as to provide a communication that is in the best interests of all students and members of the mathematics profession.
{"title":"The Formal Presentation Language of Mathematics and Communication Ethics","authors":"M. Gordon","doi":"10.5642/jhummath.oote2363","DOIUrl":"https://doi.org/10.5642/jhummath.oote2363","url":null,"abstract":"Mathematics employs a formal language where symbols, verbs, and nouns serve to express terms, concepts, and rules that concatenate to definitions, problemsolving procedures, and proofs. Taken together these constitute the expository language of mathematics found in journals, textbooks, and demonstrations. As the object of these mathematical communications is to inform and perhaps inspire, there are epistemological and ethical considerations that deserve examination. For in keeping with the commitment to an aesthetic of concision promulgated by tradition, the formal presentation language and style of mathematics, while valuable in furthering the body of knowledge, provides only the conclusion of an inquiry, completely excluding the language of investigation that informed the many steps of decision making involved in the process, so that little if any insight into the creative process is made available. Here we explore this problem of communication in the context of mathematics presented to students early in their education as well as at university level. The argument is made that the language of investigation — the heuristic actions instrumental for their formulation — ought to accompany the language of formal demonstration so as to provide a communication that is in the best interests of all students and members of the mathematics profession.","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46625110","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-07-01DOI: 10.5642/jhummath.xskt1827
R. Jeličić
Synopsis The dot is the simplest graphic symbol, and in the most diverse areas of human thought it signifies the original principle. At the point as a symbol lies the basis of antinomy in the corresponding areas; as the beginning of everything, the point is and is not. The dot represents emptiness, but also fullness. It is imagined on the border of being and non-being, either as a place of transition from what we consider reality in everyday life — to its negation, or, on the contrary, as a transition from otherworldly reality to nothingness here. In any case, the point connects two worlds: the world of the real and the world of the imagined; it is a place of transcendence.
{"title":"Mathematical Counterpoint: A Short Essay on the Point","authors":"R. Jeličić","doi":"10.5642/jhummath.xskt1827","DOIUrl":"https://doi.org/10.5642/jhummath.xskt1827","url":null,"abstract":"Synopsis The dot is the simplest graphic symbol, and in the most diverse areas of human thought it signifies the original principle. At the point as a symbol lies the basis of antinomy in the corresponding areas; as the beginning of everything, the point is and is not. The dot represents emptiness, but also fullness. It is imagined on the border of being and non-being, either as a place of transition from what we consider reality in everyday life — to its negation, or, on the contrary, as a transition from otherworldly reality to nothingness here. In any case, the point connects two worlds: the world of the real and the world of the imagined; it is a place of transcendence.","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":"25 68","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41260743","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-07-01DOI: 10.5642/jhummath.vftn5690
Andrew Granville
{"title":"In Mathematics, As In Art","authors":"Andrew Granville","doi":"10.5642/jhummath.vftn5690","DOIUrl":"https://doi.org/10.5642/jhummath.vftn5690","url":null,"abstract":"","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47848880","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-07-01DOI: 10.5642/jhummath.gvnp7358
Vijay Fafat
{"title":"Perturbation - For Nature Computes On A Straight Line (In Seven Balancing Acts)","authors":"Vijay Fafat","doi":"10.5642/jhummath.gvnp7358","DOIUrl":"https://doi.org/10.5642/jhummath.gvnp7358","url":null,"abstract":"","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47839599","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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