Theory of Plane Area at the Crossroads

Theory of Plane Area at the Crossroads

Philosophical, Historical, and Logical Perspectives

Lassalle Casanave, Abel; Haeusler, Edward Hermann; Giovannini, Eduardo N.

Springer International Publishing AG

01/2025

140

Dura

9783031709159

Pré-lançamento - envio 15 a 20 dias após a sua edição

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Chapter 1. From Euclidean to Hilbertean Practice: The Theory of Plane Area.- Chapter 2. De Zolt's Postulate: The Geometrical Path.- Chapter 3. De Zolt's Postulate: The Abstract Approach.- Chapter 4. De Zolt's Postulate in Three-Dimensions.
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De Zolt's postulate in theory of plane area;Euclid's theory of area in the Elements;David Hilbert's Foundations of Geometry;Abstract theory of magnitudes;Purity of Method in geometrical reasoning;David Hilbert's axiomatization of Euclidean geometry;Euclid's Common Notion 5;Mereology in Euclid's Elements;Geometrical paradox and 'The whole is greater than the part';A type system of rules for solid geometry