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Szabó Árpád. Anfänge des euklidischen Axiomensystems. Archive for history of exact sciences, vol. 1 no. 1 , pp. 37–106

Journal of Symbolic Logic 36 (1):154-155 (1971)

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Reconstructing Lakatos: a reassessment of Lakatos’ epistemological project in the light of the Lakatos Archive.Matteo Motterlini - 2002 - Studies in History and Philosophy of Science Part A 33 (3):487-509.details Based on the material in the Lakatos Archive, this paper reconstructs, and then re-assesses, Lakatos’ epistemological project by placing it in the context of the debate on the role of reason in the history of science, and of the justification of rationality as a normative notion. It is claimed that Lakatos’ most fruitful ideas come from a peculiar philosophical combination of Hegelian historicism and Popperian fallibilism. The original tension, however, cannot be ultimately resolved. As a consequence, the problems that Lakatos (...) Download Export citation Bookmark 8 citations
Strenge Beweise und das Verbot der metábasis eis állo génos : Eine Untersuchung zu Bernard Bolzanos Beyträgen zu einer begründeteren Darstellung der Mathematik.Stefania Centrone - 2012 - History and Philosophy of Logic 33 (1):1 - 31.details In his booklet "Contributions to a better founded presentation of mathematics" of 1810 Bernard Bolzano made his first serious attempt to explain the notion of a rigorous proof. Although the system of logic he employed at that stage is in various respects far below the level of the achievements in his later Wissenschaftslehre, there is a striking continuity between his earlier and later work as regards the methodological constraints on rigorous proofs. This paper tries to give a perspicuous and critical (...) Download Export citation Bookmark 3 citations
Geometry and Spatial Intuition: A Genetic Approach.Rene Jagnow - 2003 - Dissertation, Mcgill University (Canada)details In this thesis, I investigate the nature of geometric knowledge and its relationship to spatial intuition. My goal is to rehabilitate the Kantian view that Euclid's geometry is a mathematical practice, which is grounded in spatial intuition, yet, nevertheless, yields a type of a priori knowledge about the structure of visual space. I argue for this by showing that Euclid's geometry allows us to derive knowledge from idealized visual objects, i.e., idealized diagrams by means of non-formal logical inferences. By developing (...) Download Export citation Bookmark
Aristotle's Theory of Demonstration.Jonathan Barnes - 1969 - Phronesis 14 (2):123-152.details Download Export citation Bookmark 48 citations

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