Mathématisme

Cet article est une ébauche concernant la philosophie et les mathématiques.

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Détail de Pythagore avec une tablette de ratios, nombres sacrés pour les Pythagoriciens, tiré de L'École d'Athènes de Raphaël. Palais du Vatican, Rome, 1509

Le mathématisme désigne toute opinion, point de vue, école de pensée ou philosophie qui affirme que tout peut être décrit, défini ou modélisé par les mathématiques, ou que l'univers et la réalité (matérielle et mentale/spirituelle) sont fondamentalement, entièrement ou uniquement mathématiques, c'est-à-dire que tout est mathématique, ce qui nécessite de faire appel à la logique, la raison, la pensée et l'esprit.

Aperçu

Le mathématisme est une forme d'idéalisme rationaliste ou de monisme mentaliste/spiritualiste). L'idée a fait ses débuts en Occident avec le pythagorisme de la Grèce antique et s'est poursuivie dans d'autres écoles de pensée rationalistes idéalistes comme le platonisme[1]. Le terme "mathématisme" a d'autres significations chez les philosophes et les mathématiciens cartésiens idéalistes, comme la description de la capacité et du processus d'étudier la réalité mathématiquement[2],[3].

Le mathématisme comprend (sans s'y limiter) les éléments suivants (dans l'ordre chronologique):

Ouvrages

Notes et références

  1. ↑ Gabriel, Markus. Fields of Sense: A New Realist Ontology. Edinburgh: Edinburgh Univ. Press, 2015, ch. 4. Limits of Set-Theoretical Ontology and Contemporary Nihilism.
  2. ↑ Chikara Sasaki, Descartes’s Mathematical Thought, Springer, 2013, p. 283.
  3. ↑ a et b Étienne Gilson. The Unity of Philosophical Experience. San Francisco, CA: Ignatius Press, 1999, p. 133.
  4. ↑ a et b Tim Maudlin,. New Foundations for Physical Geometry: The Theory of Linear Structures. Oxford University Press. 2014, p. 52.

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