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Discovery and Purity in Archimedes.
Discovery and Purity in Archimedes.
상세정보
- 자료유형
- 학위논문
- Control Number
- 0017164100
- International Standard Book Number
- 9798346533146
- Dewey Decimal Classification Number
- 330
- Main Entry-Personal Name
- Chen, Xiaoxiao.
- Publication, Distribution, etc. (Imprint
- [S.l.] : Harvard University., 2024
- Publication, Distribution, etc. (Imprint
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- Physical Description
- 97 p.
- General Note
- Source: Dissertations Abstracts International, Volume: 86-05, Section: A.
- General Note
- Advisor: Schiefsky, Mark J.
- Dissertation Note
- Thesis (Ph.D.)--Harvard University, 2024.
- Summary, Etc.
- 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.
- Subject Added Entry-Topical Term
- Classical studies.
- Subject Added Entry-Topical Term
- Mathematics education.
- Subject Added Entry-Topical Term
- Philosophy.
- Index Term-Uncontrolled
- History of mathematics
- Index Term-Uncontrolled
- Mathematical discovery
- Index Term-Uncontrolled
- Non-rigorous techniques
- Added Entry-Corporate Name
- Harvard University Classics
- Host Item Entry
- Dissertations Abstracts International. 86-05A.
- Electronic Location and Access
- 로그인을 한후 보실 수 있는 자료입니다.
- Control Number
- joongbu:657533
MARC
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■1001 ▼aChen, Xiaoxiao.▼0(orcid)0009000611668905
■24510▼aDiscovery and Purity in Archimedes.
■260 ▼a[S.l.]▼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.
