Salomon Maimon Theory of Invention Scientific Genius Analysis and Euclidean Geometry 1st editon by Idit Chikurel 3110691418 9783110691412
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ISBN 10: 3110691418
ISBN 13: 9783110691412
Author: Idit Chikurel
How can we invent new certain knowledge in a methodical manner? This question stands at the heart of Salomon Maimon’s theory of invention. Chikurel argues that Maimon’s contribution to the ars inveniendi tradition lies in the methods of invention which he prescribes for mathematics. Influenced by Proclus’ commentary on Elements, these methods are applied on examples taken from Euclid’s Elements and Data. Centering around methodical invention and scientific genius, Maimon’s philosophy is unique in an era glorifying the artistic genius, known as Geniezeit. Invention, primarily defined as constructing syllogisms, has implications on the notion of being given in intuition as well as in symbolic cognition. Chikurel introduces Maimon’s notion of analysis in the broader sense, grounded not only on the principle of contradiction but on intuition as well. In philosophy, ampliative analysis is based on Maimon’s logical term of analysis of the object, a term that has yet to be discussed in Maimonian scholarship. Following its introduction, a new version of the question quid juris? arises. In mathematics, Chikurel demonstrates how this conception of analysis originates from practices of Greek geometrical analysis.
Salomon Maimon Theory of Invention Scientific Genius Analysis and Euclidean Geometry 1st Table of contents:
Chapter 1: The Genius and the Methodical Inventor
1.1 The Genius and the Methodical Inventor
1.2 Geniezeit: Genius in the 18th Century
1.3 The Methodical Inventor in the 17th Century
1.4 The Objective Reality of the Genius and the Methodical Inventor
Chapter 2: An Art of Finding Arguments
2.1 Invention and Discovery
2.2 An Art of Finding Arguments
2.3 The Given
Chapter 3: Invention, Analysis and Synthesis
3.1 A General Definition of Invention as Based on Syllogisms: Analysis and Synthesis
3.2 Two Meanings of Invention as Logical Analysis
3.3 Categorical and Hypothetical Judgments
3.4 Two Kinds of Analysis in Mathematics
3.5 Two Kinds of Analysis in Philosophy: Analysis of the Concept and Analysis of the Object
3.5.1 Analysis of the object: educing a predicate immediately from the object – the case of educing three angles
3.5.2 Analysis of the object: educing a predicate indirectly by using demonstration – the case of the Pythagorean Theorem
3.5.3 The method of analysis of the object: transformation of the given object – the case of Elements I.5
3.6 Invention as Synthesis
3.7 How are Synthetic a priori or Ampliative Analytic Judgments Possible?
3.8 Analysis and Discovery, Synthesis and Invention
Chapter 4: Methods of Invention
4.1 Seven Kinds of Analysis
4.1.1 Analysis of the Conditions of a Problem or Proposition
4.1.2 Analysis of a Complex Problem or Complex Proposition into Simple Ones
4.1.3 Analysis of the Cases of a Problem or a Proposition
4.1.4 Analysis of the Object
4.1.5 Analysis of the Cases of the Solution
4.1.6 Analysis of the Various Ways in which a Problem Can be Solved or a Proposition Proven
4.1.7 Logical Analysis
4.2 Conversion
4.3 Generalization
4.4 Assuming a Problematic Proposition as True
Conclusion
Bibliography
Index of Terms
Index of Person
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Idit Chikurel,Salomon Maimon Theory,Invention Scientific Genius