| Project/Area Number |
23501208
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Sociology/History of science and technology
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| Research Institution | Tokai University |
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Principal Investigator |
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| Project Period (FY) |
2011 – 2013
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Keywords | 数学論 / ルネサンス / アリストテレス主義 / ピッコローミニ / ツィマラ / アヴェロエス / 数学的事物 / ペトラルカ / 科学史 / 学問論 / 数学の哲学 / 数学的論証 / 人文主義 / ルネサンス思想史 / サルターティ / 国際情報交流（ヨーロッパ） / 科学思想 / A. ピッコローミニ / 中世数学論 |
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| Research Abstract |
The research project was aimed at shedding light on the historical and philosophical significance of the philosophy of mathematics during the 16th century. The subject has hitherto been treated from the viewpoint of the history of science, especially of the history of the Scientific Revolution. This approach is fundamentally biased: it neglects the fact that reflections on the nature of the mathematical disciplines constituted a distinct philosophical tradition beginning in Greek Antiquity. In paying more attention to traditional topoi in this tradition, we have studied relevant texts by M. A. Zimara and A. Piccolomini, as well as the Ancient, Arabic and Medieval sources from which they derived their problems. We have also attempted comparisons between the philosophy of mathematics and other theories of science during the Renaissance, such as the legal-medical debates or the critique of science by Francesco Petrarca.
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