A Neglected Chapter in the History of Philosophy of Mathematical Thought Experiments: Insights from Jean Piaget’s Reception of Edmond Goblot

Hopos: The Journal of the International Society for the History of Philosophy of Science 11 (1):282-304 (2021)
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Abstract

Since the beginning of the twentieth century, prominent authors including Jean Piaget have drawn attention to Edmond Goblot’s account of mathematical thought experiments. But his contribution to today’s debate has been neglected so far. The main goal of this article is to reconstruct and discuss Goblot’s account of logical operations (the term he used for thought experiments in mathematics) and its interpretation by Piaget against the theoretical background of two open questions in today’s debate: (1) the relationship between empirical and mathematical thought experiments and (2) the question of whether mathematical thought experiments can play a justificatory function in proofs. The main corollary of this analysis is that Piaget’s interpretation is seriously flawed and insufficiently appreciative of important theses of Goblot’s account. First, Goblot can be easily defended against Piaget’s main criticism, and second, Goblot developed ideas about mathematical thought experiments that still deserve attention.

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References found in this work

Logik der Forschung.Karl Popper - 1934 - Erkenntnis 5 (1):290-294.
The Rise of Scientific Philosophy.Hans Reichenbach - 1951 - British Journal for the Philosophy of Science 2 (8):334-337.
La représentation du monde chez l'enfant.Jean Piaget - 1925 - Revue de Théologie Et de Philosophie 13 (56):191.
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Vocabulaire technique et critique de la philosophie.André Lalande - 1927 - Annalen der Philosophie Und Philosophischen Kritik 6:101-102.

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