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Discovery and Purity in Archimedes
Discovery and Purity in Archimedes
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211152832
- ISBN
- 9798346533146
- DDC
- 330
- 저자명
- Chen, Xiaoxiao.
- 서명/저자
- Discovery and Purity in Archimedes
- 발행사항
- [Sl] : Harvard University, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 97 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-05, Section: A.
- 주기사항
- Advisor: Schiefsky, Mark J.
- 학위논문주기
- Thesis (Ph.D.)--Harvard University, 2024.
- 초록/해제
- 요약Philosophers of mathematics wonder about the applicability of mathematics to scientific explanations of the physical world. My inquiry is in the opposite direction: why and how can the study of physical phenomena be helpful to the advancement of mathematics? The value of purity has long driven changes and progress in mathematics. According to the ideal of purity, mathematics should be purged of ideas of an extraneous source, because they do not amount to true explanations and can be misleading. Meanwhile, mathematicians, including those who underscore purity, acknowledge the fruitfulness of borrowing foreign ideas to help with mathematical discovery. This dissertation studies Archimedes' Method, a work that highlights the fruitfulness of geometric discovery through mechanical imaginations. I argue that Archimedes brings out the heuristic potential of mechanics in two ways: one is to develop new methods that incorporate non-rigorous techniques inspired by the study of the physical world into rigorous mathematical demonstrations, the other is to envisage an art of discovery through mechanics, of which his Method provides starting points. In this dissertation I show that a dialogue between Archimedes' vision with regard to discovery and the ideal of mathematical purity can shed light on both the thought of Archimedes and the study of the history of mathematics.
- 일반주제명
- Classical studies
- 일반주제명
- Mathematics education
- 일반주제명
- Philosophy
- 기타저자
- Harvard University Classics
- 기본자료저록
- Dissertations Abstracts International. 86-05A.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■020 ▼a9798346533146
■035 ▼a(MiAaPQ)AAI31560579
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a330
■1001 ▼aChen, Xiaoxiao.▼0(orcid)0009000611668905
■24510▼aDiscovery and Purity in Archimedes
■260 ▼a[Sl]▼bHarvard University▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a97 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-05, Section: A.
■500 ▼aAdvisor: Schiefsky, Mark J.
■5021 ▼aThesis (Ph.D.)--Harvard University, 2024.
■520 ▼aPhilosophers of mathematics wonder about the applicability of mathematics to scientific explanations of the physical world. My inquiry is in the opposite direction: why and how can the study of physical phenomena be helpful to the advancement of mathematics? The value of purity has long driven changes and progress in mathematics. According to the ideal of purity, mathematics should be purged of ideas of an extraneous source, because they do not amount to true explanations and can be misleading. Meanwhile, mathematicians, including those who underscore purity, acknowledge the fruitfulness of borrowing foreign ideas to help with mathematical discovery. This dissertation studies Archimedes' Method, a work that highlights the fruitfulness of geometric discovery through mechanical imaginations. I argue that Archimedes brings out the heuristic potential of mechanics in two ways: one is to develop new methods that incorporate non-rigorous techniques inspired by the study of the physical world into rigorous mathematical demonstrations, the other is to envisage an art of discovery through mechanics, of which his Method provides starting points. In this dissertation I show that a dialogue between Archimedes' vision with regard to discovery and the ideal of mathematical purity can shed light on both the thought of Archimedes and the study of the history of mathematics.
■590 ▼aSchool code: 0084.
■650 4▼aClassical studies
■650 4▼aMathematics education
■650 4▼aPhilosophy
■653 ▼aHistory of mathematics
■653 ▼aMathematical discovery
■653 ▼aNon-rigorous techniques
■690 ▼a0434
■690 ▼a0422
■690 ▼a0280
■71020▼aHarvard University▼bClassics.
■7730 ▼tDissertations Abstracts International▼g86-05A.
■790 ▼a0084
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17164100▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
