{"title":"One Heresy and One Orthodoxy: On Dialetheism, Dimathematism, and the Non-normativity of Logic.","authors":"Heinrich Wansing","doi":"10.1007/s10670-022-00528-8","DOIUrl":null,"url":null,"abstract":"<p><p>In this paper, Graham Priest's understanding of dialetheism, the view that there exist true contradictions, is discussed, and various kinds of metaphysical dialetheism are distinguished between. An alternative to dialetheism is presented, namely a thesis called 'dimathematism'. It is pointed out that dimathematism enables one to escape a slippery slope argument for dialetheism that has been put forward by Priest. Moreover, dimathematism is presented as a thesis that is helpful in rejecting the claim that logic is a normative discipline.</p>","PeriodicalId":9463,"journal":{"name":"Cancer Investigation","volume":"1 1","pages":"181-205"},"PeriodicalIF":1.8000,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10827935/pdf/","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Cancer Investigation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s10670-022-00528-8","RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2022/3/9 0:00:00","PubModel":"Epub","JCR":"Q3","JCRName":"ONCOLOGY","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, Graham Priest's understanding of dialetheism, the view that there exist true contradictions, is discussed, and various kinds of metaphysical dialetheism are distinguished between. An alternative to dialetheism is presented, namely a thesis called 'dimathematism'. It is pointed out that dimathematism enables one to escape a slippery slope argument for dialetheism that has been put forward by Priest. Moreover, dimathematism is presented as a thesis that is helpful in rejecting the claim that logic is a normative discipline.
期刊介绍:
Cancer Investigation is one of the most highly regarded and recognized journals in the field of basic and clinical oncology. It is designed to give physicians a comprehensive resource on the current state of progress in the cancer field as well as a broad background of reliable information necessary for effective decision making. In addition to presenting original papers of fundamental significance, it also publishes reviews, essays, specialized presentations of controversies, considerations of new technologies and their applications to specific laboratory problems, discussions of public issues, miniseries on major topics, new and experimental drugs and therapies, and an innovative letters to the editor section. One of the unique features of the journal is its departmentalized editorial sections reporting on more than 30 subject categories covering the broad spectrum of specialized areas that together comprise the field of oncology. Edited by leading physicians and research scientists, these sections make Cancer Investigation the prime resource for clinicians seeking to make sense of the sometimes-overwhelming amount of information available throughout the field. In addition to its peer-reviewed clinical research, the journal also features translational studies that bridge the gap between the laboratory and the clinic.