Rethinking geometrical exactness
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Publication:618040
DOI10.1016/j.hm.2010.09.001zbMath1225.01024OpenAlexW1977054337MaRDI QIDQ618040
Publication date: 14 January 2011
Published in: Historia Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.hm.2010.09.001
Philosophical and critical aspects of logic and foundations (03A05) Geometric constructions in real or complex geometry (51M15) History of mathematics in the 17th century (01A45) History of geometry (51-03)
Related Items (9)
Operationalism: an interpretation of the philosophy of ancient Greek geometry ⋮ The twofold role of diagrams in Euclid's plane geometry ⋮ The debate between Peletier and Clavius on superposition ⋮ Logic of imagination. Echoes of Cartesian epistemology in contemporary philosophy of mathematics and beyond ⋮ One String Attached: Geometrical Exactness in Leibniz’s Parisian Manuscripts ⋮ Bridging the gap between analytic and synthetic geometry: Hilbert's axiomatic approach ⋮ A relationship between the tractrix and logarithmic curves with mechanical applications ⋮ A Geometrical Constructive Approach to Infinitesimal Analysis: Epistemological Potential and Boundaries of Tractional Motion ⋮ Constructibility and Geometry
Cites Work
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- Descartes and the cylindrical helix
- Shifting the foundations: Descartes's transformation of ancient geometry
- The concept of existence and the role of constructions in Euclid's \textit{Elements}
- The Algebra of Geometric Impossibility: Descartes and Montucla on the Impossibility of the Duplication of the Cube and the Trisection of the Angle
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